Find the equations of the lines that form the sides to the polygon shown below. 2. Answers vary. Name Definition Representation Regular All angles and sides of this polygon are congruent. 2) Rotate segment AC 180° around point A. Explain your reasoning. Explain your reasoning. Classify each figure as regular, concave, and/or complex by marking the appropriate box. Name each kid of polygon represented by filling in each blank provided. Figure Regular Concave Complex Name the Polygon u got your answer. 1. For Exercises 9 and 10, sketch and label each figure. (6 pts. Topic 8 Test Review Ashley H. Numerade Educator 01:03. 1.6 Classify Polygons - mRS. HOUK If a polygon has four sides, then it is a quadrilateral. Determine whether the figure is stable. a. A) peâa%9n B) 20-gon 10. Lines AB and CD are parallel. Show that Polygon A is congruent to Polygon B. No trapezoids are rectangles. B) A polygon is a quadrilateral if and only if it has four sides. Students have seen that the lengths of corresponding segments in a figure and its scaled copy vary by the same scale factor. _____ _____ _____ 3. 500. Explain your reasoning. Explain your reasoning. IDENTIFYING POLYGONS Tell whether the figure is a polygon. O Yes because all corresponding sides are in a ratio of 1/2 No because ratios of … This provides students with an opportunity to produce verbal mathematical language in service of refining their ideas and their drawings. 1. W X JK L Z Y N M V 12. Here are 3 polygons. $16:(5 î 7KHLQVHFW ¶s image length in millimeters is 3.75 î RU PP 7KHVFDOHIDFWRURIWKHGLODWLRQLV RU CCSS SENSE -MAKING Find the image of each polygon with the given vertices after a dilation centered at the origin with the given scale factor. B) The; Question: 1. 1.6 classify polygons - SlideShare What is the sum of the interior angles of the octagon? Explain your reasoning. Name Definition Representation Regular All angles and sides of this polygon are congruent. If it is not, explain why. Explain or show your reasoning. figure Priya and Tyler are discussing the figures shown below. (6 pts. Explain your reasoning. 1.1.3: Making Scaled Copies - Mathematics LibreTexts Is the polygon regular? 2 3. A Let p be "a figure is a triangle" and let q be "a figure is a polygon." ? Explain or show your reasoning. 3. A) B) Yes, Turtle 1 ≅ Turtle 2. Is your friend correct? 8.2 P preserves Anðe-meåsures • when areÅso preserved (same size). The perimeter of A is 24 and the perimeter of B is 16, which is 8 less in total. Unit 1, Lesson 1: Moving in the Plane Cool Down Heptagon 6. Use the review examples and exercises below to check your understanding 560 of the concepts you have learned in each lesson of Chapter 8. Is there a formula for the sum of the exterior angles of a concave polygon? X Y W Z In Exercises 13 and 14, fi nd m∠1. 3GÔ 29. Explain your reasoning. Sample markings: 1/4 or 0.25. If not, explain why. Draw a scaled copy of this polygon that has a perimeter of 30 units. ... equilateral, equiangular, or regular. EXAMPLE E Polygons PAGE 1 OF 12 44 WORDS TRACK CHANGES: OFF rjan . Just In Time Quick Check Standard of Learning (SOL) 6.9 ... Tell whether the polygon is equilateral, equiangular, or regular. Figure 4. Use the figure for 1–2. Mark the congruences. Then reflect over line BA. Use the figure to find the measure of the angle. Bell Ringer GPA page 656 (41, 44-47) Circle all the polygons that are regular polygons. Explain your reasoning. Question 8 1 pts Is it possible for polygon ABCDE to be ... 25. Second pair 7. 2. Scaling and Area - Online Math Learning 3. 5 4. The polygon has 6 sides. 5. Write the inverse - p > - q in words. If not possible, explain why not. 16. Question 20. Explain your reasoning. What is the sum of all the interior angle measures of an n-sided polygon? Explain how you know the support bars MP Is the shape a regular polygon? • Figure D is not a polygon because it has a side that is not a segment. 17. Figure B has the same number of edges as Figure A. 5. Explain your reasoning. 3.Did each method produce a scaled copy of the polygon? Explain your reasoning. Explain or show your reasoning. If it is a polygon, whether it is convex or concave. If it is a polygon, tell whether it is convex or concave. The figure below is made up of squares and triangles.Use the design below and what you know about angle relationships to answer the following questions. Determine the measure of each angle marked with 7° in Polygon A. Wednesday Unit 1 Lesson 3 1. Draw all lines of symmetry for each polygon. Explain your reasoning. Figure \(\PageIndex{10}\): An L shaped figure on a square grid. Classify the polygon shown at the right by the number of sides. Turtle 2 is rotated about 45° degrees clockwise. Is triangle B a rotation of triangle A? Explain your reasoning w Y B D 10 6 5 3 4 4 M 8 X 8 C A 10 E V 12 O No because corresponding sides are not congruent Yes because all corresponding sides are in a ratio of 2/1. Explain your reasoning. If the measure of each exterior angle of a regular polygon is 180, how many sides does the polygon have? Explain or show how you know that one polygon is a scaled copy of the other. Example 4: A polygon is shown. 7. If so, tell what type. What polygon is made? b) Which letter(s) have line symmetry, but not point symmetry? Express the scale of 1 inch to 20 feet as a scale without units. Select all of the statements that must be true: What polygon is made? It is formed by three or more line segments called sides. If \(IK = 5\), how long is the corresponding distance in the first figure? Classify the polygon by the number of sides. Hi. Solution 1. 16. The square is 1 unit wide and 1 unit in length. Explain your reasoning. Classify the polygon by the number of sides. If a figure is not a polygon, then it is not a triangle: true b. Draw a representation of each of the polygons below. What is the sum of all the interior angle measures of an n-sided polygon? 4. a. 25. (Section 3.1) 1. convex polygon KEY CONCEPT For Your Notebook Identifying Polygons In geometry, a figure that lies in a plane is called aplane figure. The polygon has 4 sides. b. Explain how you calculated your answer. Because it doesn’t have a triangle. Explain your reasoning. Explain or show your reasoning. L M N XZ Y 70° 1 14. Use the sketch above to draw diagonals and then explain your reasoning. If the measure of 2 = 58°, then the measure of 5 = 7. Explain your reasoning. The polygon has 8 sides. Hexagon 5. Figure 3. Explain your reasoning. Explain your reasoning. Show that Polygon A is congruent to Polygon B. figure, decompose the polygon into other shapes. 2. Explain your reasoning. 7. Sample answer: Z2 is vertical to the given angle. b.The polygon has 4 sides, so it is a quadrilateral. Is there a region that cannot be matched to one of the polygons? A polygon is a closed plane figure with the following properties. • Figure E is not a polygon because two of the sides intersect only one other side. A regular polygon is that angles are equal to the same angles. Rotate 60 degrees counterclockwise around point A and then reflect over the line FA. 8. Determine whether each conclusion is based on inductive or deductive reasoning. Example 2: If the sum of all the interior angle measures of a polygon is 9540°, how many sides does the 1. 3.Select one pair of polygons to examine further. Show all work. 2.What operation doyou thinkJada usedto calculate the lengths for her drawing? Explain your reasoning. Geoboard polygons. Figure ABC is a triangle. 8 7. Calculate EACH interior anole measure of the following regular polygons. 6. The polygon has 4 sides, so it is a quadrilateral. Explain your reasoning. The sides of a polygon are made of straight line segments connected to each other end to end. Explain your reasoning. If it is not, explain why. Then find the sum of the interior angle measures of a polygon with 12 sides. L4 2. 304 Chapter 6 Quadrilaterals Decide whether the figure is a polygon. Explain your reasoning. What scale factor takes the original polygon to its smaller copy? c.The polygon has 12 sides, so it is a dodecagon. 2. What is the sum of the measures of the interior angles of an n-sided polygon? Draw both polygons on the grid. If there are any errors, discuss why and revise your matches. So it is regular. Correct answers: 1 question: A figure has vertices at points (0, 3), (6, 3), and (3,6). a. Explain how you know. b. No, Rectangle 1 ≇ Rectangle 2. (Part 2) Andre wants to make a scaled copy of Jada's drawing so the side that corresponds to 4 units in Jada’s polygon is 8 units in his scaled copy. View Notes - math 309 final examTerm: Definition: For each of the following figures, indicate whether the figure is a polygon or not and (if it is a polygon) … a) 50-gon b) 12-gon 35. reddy85 shared this question 8 years ago. Select all sequences of translations, rotations, and reflections below that would take polygon P to polygon Q. explain your reasoning. This is followed by a proof in which ... interior angles of a polygon, some students may divide the figure into too many triangles. Explain your reasoning. O Yes because all corresponding sides are in a ratio of 1/2 O No because ratios … D. Figure B has the same number of angles as Figure A. E. Figure B has angles with the same measures as Figure A. Polygon B is a scaled copy of Polygon A. a. It is not equilateral or equiangular, so it is not regular. Explain your reasoning. MMonitoring Progressonitoring Progress Decide whether the syllogism represents correct or fl awed reasoning. Explain how the Parallel Postulate allows you to add the auxiliary line into the triangle figure. 5. Example 1: What is the sum of all of all the interior angle measures of a 100‐sided polygon? B) What is the sum of the interior angles of this polygon? A) Is the polygon convex or concave? 24. 2. The polygon is composed of two shapes: a rectangle adjoined with a square so that the bottom horizontal base of the polygon is 2 units. Find the measures of the three angles in triangle ABF 8. Explain your reasoning . Suppose a survey of. If the area of Polygon P is 72 square units, what scale factor did Diego use to go from P to Q? Geoboard polygons. Design Principle (s): Optimize output (for justification) Student Facing. Explain why or why not. Find the measure of Z4. Mathematically profi cient students distinguish correct reasoning from fl awed reasoning. 860. ... then it has four sides. Let. 3. REASONING The ratio of the interior angle measures of a triangle is 2 : 3 : 5. Find Angle Measures in Polygons EXAMPLE.) 6. Second pair 7. Is the figure a polygon? An exterior angle of a polygon is an angle that forms a linear pair with one of the interior angles of the polygon. Correct answers: 1 question: A figure has vertices at points (0, 3), (6, 3), and (3,6). State whether the figure is a polygon. A diagonal is any line segment drawn between vertices of a polygon that doesn’t include the sides of that polygon. In geometry, a figure that lies in a plane is called a plane figure. Answers vary. Draw Polygon B, the image of A, using the -axis as the line of reection. An exterior angle of a polygon is an angle that forms a linear pair with one of the interior angles of the polygon. Rotate 180 degrees around point A. a. b. c. Solution a.The polygon has 6 sides. Label the exterior angels of the polygon on the previous page. All sides of the polygon are congruent and all angles are also congruent. W B D 10 6 5 3 4 4 8 8 C A 10 E V 12 O No because corresponding sides are not congruent Yes because all corresponding sides are in a ratio of 2/1. Explain your reasoning. a. a. trapezoid square isosceles triangle parallelogram rhombus equilateral triangle rectangle right triangle scalene triangle 2. Explain or show your reasoning. Explain your reasoning . some of the vertices. Explain your reasoning. The rectangle is 1 unit wide and 3 units in length. For each pair of shapes, decide whether Shape A is congruent to Shape B. In Exercises $3-6,$ trace the polygon and point $\mathrm{P.Then}$ draw a rotation of the polygon about point $\mathrm{P}$ using the given number of degrees. Determine the area of the area of the Geoboard polygon in the center of Figure 4. How many sides must the polygon have? 23. . When shape is ENLARGED or reduced. If a regular polygon has 30 sides, what is the measure of each exterior angle? Refer to the photo on page 664. 35 8. Use the design below and what you know about angle relationships to answer the following questions. B) A polygon is a quadrilateral if and only if it has four sides. Tell whether the figure is a polygon. In Exercises 11 and 12, show that the polygons are congruent. x -----> area of polygon Q. y -----> area of polygon P. we have. What is the scale factor from Polygon A to Polygon B? total) Consider a regular 72-sided polygon. For example, Polygon 2 is a scaled copy of Polygon 1. Each point in Polygon 1 has a corresponding point in Polygon 2. . Each segment in Polygon 1 has a corresponding segment in Polygon 2. one vertex? Your friend claims that dilating a figure by 1 is the same as dilating a figure by — 1 because the original figure will not be enlarged or reduced. Explain or show your reasoning. Check all that apply. If a polygon has four sides, then it is a quadrilateral. 9. Explain your reasoning. 6. Sample markings: 2. or 0.25. Q. Problem 2. No. Explain your reasoning. MULTIPLE CHOICE Which Of the figures is a concave polygon? Question 5. OPTIONS: A) A figure is a quadrilateral if and only if it is a polygon. It appears the figure has been rotated but the ratios of the corresponding sides are not proportional. Explain what type of figure is created and how you know. Explain your reasoning. 1.It is formed by three or more line segments calledsides. c. Yes, the figure is a polygon formed by five straight sides. Label the exterior angels of the polygon on the previous page. Could the shape be used to tile a surface? -z = —30 28. … Here is an unlabeled polygon, along with its scaled copies Polygons A–D. Explain or show your reasoning. 507-513 The sum of the measures of the interior angles of a convex regular polygon is 10800. 2.Each side intersects exactly two sides, one at each endpoint, Use the figure to find the measures of the numbered angles. convex polygon KEY CONCEPT For Your Notebook Identifying Polygons In geometry, a figure that lies in a plane is called aplane figure. nurse deployment program 2020. Lines AB and CD are parallel. Work with a partner. If the measure of L l = 123°, then the measure of L. 7 = 6. convex polygon KEY CONCEPT For Your Notebook Identifying Polygons In geometry, a figure that lies in a plane is called aplane figure. Using a very simple formula, you can calculate the number of diagonals in any polygon, whether it has 4 sides or 4,000 sides. Select all of the statements that must be true: Figure B is larger than Figure A. If so, tell what type. What type of polygon is it? Explain your reasoning. Ll Complete the statement. Diego drew a scaled version of a Polygon P and labeled it Q. Explain your reasoning Classify the polygon by the number of sides. No, the figure is not a polygon because each side intersects two other sides at one vertex, and no other sides at the other vertex. What scale factor takes the original polygon to its smaller copy? Triangle 2. 1. What is the measure The side lengths of the polygons in this task cannot be easily determined, so students must look to … total) Refer to the polygon to the right. Explain how you determined which polygons to circle. Determine the NUMBER OF SIDES of the polygon. Use the Venn diagram to compare the properties of each pair of polygons. total) Consider a regular 72-sided polygon. Explain your reasoning. Make another scale drawing of the same parking lot at a scale of 1 inch to 20 feet. Explain your reasoning in detail. 1. a. b. c. d. Solution a. Select all the statements that must be true for any scaled copy Q of Polygon P. answer choices. One of these shapes is a triangle. No, Rectangle 1 ≇ Rectangle 2. A survey of 2216 adults in a country found that 82% think that militant terrorists are a major threat to the well-being of their country. ... then it has four sides. screens similar? Find the measure of Z2. f. VERBAL For which polygons will the following conditional and its converse both be true? Explain your reasoning. HOME NSERT DESIGN PAGE LAYOUT REFERENCES Chapter 6 - Word MAILINGS REVIEW loo- Caitlin Hart using Algebra Find the value of x. So, mZ2 = 86 8. 5. Find the measure of Z3. A) B) Yes, Turtle 1 ≅ Turtle 2. A polygon has an interior angle sum of 2520°. Complete the statement. Draw a convex pentagon. b. a. Solution. 304 Chapter 6 Quadrilaterals Decide whether the figure is a polygon. 2. 3.4: Which Operations? This polygon is concave because its outline curves in B) What is the sum of the interior angles of this polygon? 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