Lesson 13-1 Angle Relationships
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1 Name Date Class Chapter 13 Lesson 13-1 Angle Relationships Use the diagram to name each figure. 1. a right angle 2. two acute angles 3. two obtuse angles 4. a pair of complementary angles 5. three pairs of supplementary angles Use the diagram to find each angle measure. 6. If m 2 110º, find m If m 1 nº, find m The diagram shows the intersection of three roadways on a map. Based on the diagram, what should be the measure of ECD?
2 Name Date Class Use the diagram to solve. Write true or false. If a statement is false, rewrite it so it is true. 9. RW is a line. 10. Rays YM and MS make up line YT. 11. Angle RMT is an obtuse angle. 13. YMX and SMT are supplementary angles. 15. If m SMT 48º, then m TMW 48º. 12. WMY and RMY are supplementary angles. 14. XMY and YMR are complementary angles. 16. If m SMY 135º, then m RMT 135º. 17. If m TMW xº, then m RMT 180º xº. 18. m RMY m SMT m RMS 180º Use the diagram to find each angle measure. 19. If m 1 123º, find m If m 1 m 2 180º and m 2 40º, find m 3.
3 Name Date Class Chapter 13 Lesson 13-2 Parallel and Perpendicular Lines 1. Which angles seem to be congruent? In the figure, line m line n. Find the measure of each angle. Justify your answer In the figure, line a line b. Find the measure of each angle. Justify your answer In the figure, line r line s. 14. Name all angles congruent to Which line is the transversal?
4 Name Date Class In the figure, line a line b. 16. Name all angles congruent to Name all angles congruent to Name three pairs of supplementary angles. 19. Which line is the transversal? 20. If m 7 is 131, what is the m 8? 21. If m 4 is 57, what is the m 5? 22. If m 3 is 127, what is the m 8? 23. If a transversal were drawn perpendicular to line a and line b, what would be the measure of the angles formed? Draw a diagram to illustrate each of the following. 24. line x line y line z 25. line r line s and 26. line a line b and and transversal k transversal m with transversal t with eight congruent angles 1 2 and 3 4
5 Name Date Class Chapter 13 Lesson 13-3 Triangles 1. Find x in the right 2. Find y in the obtuse 3. Find m in the acute triangle. triangle. triangle. 4. Find w in the acute 5. Find t in the scalene 6. Find n in the scalene triangle. triangle. triangle. 7. Find x in the isosceles 8. Find y in the equilateral 9. Find r in the isosceles triangle. triangle. triangle. 10. The second angle in a triangle is one third as large as the first. The third angle is two thirds as large as the first angle. Find the angle measures. Draw a possible picture of the triangle.
6 Name Date Class Find the value of each variable The measure of the second angle in a triangle is four more than the measure of the first angle and the measure of the third angle is eight more than twice the measure of the first angle. Find the measure of each angle. Describe each statement as always, sometimes, or never true. 18. An obtuse triangle is a scalene triangle. 19. A scalene triangle is an isosceles triangle. 20. A right triangle is an isosceles triangle. 21. A triangle with all angles congruent is acute.
7 Name Date Class Chapter 13 Lesson 13-4 Polygons Find the sum of the angle measures in each figure Find the measure of each angle in each regular polygon
8 Name Date Class Give ALL the names that apply to each figure Find the sum of the angle measures in each regular polygon. Then, find the measure of each angle gon gon gon Find the value of each variable The sum of the angle measures of a polygon is given. Name the polygon
9 Name Date Class Chapter 13 Lesson 13-5 Congruence Write a congruence statement for each pair of congruent polygons In the figure, triangle PRT triangle FJH. 5. Find a. 6. Find b. 7. Find c. 8. Find x. 9. Find y. 10. Find z.
10 Name Date Class In the figure, quadrilateral ABCD quadrilateral YZWX. 11. Find m. 12. Find h. 13. Find j. 14. Find k. 15. Find n. 16. Find s. 17. Find t. 18. Find r. Find the value of the variables if octagon ABCDEFGH is congruent to octagon VWXYZSTU. 19. Find a. 20. Find b. 21. Find c. 22. Find d. 23. Find g. 24. Find h. 25. Find k. 26. Find m. 27. Find n. 28. Find r. 29. Find s. 30. Find t. 31. Find w. 32. Find x. 33. Find y. 34. Find z.
11 Name Date Class Chapter 13 Lesson 13-6 Transformations Graph each translation units left and 9 units down 2. 3 units right and 6 units up Graph each reflection. 3. across the x-axis 4. across the y-axis
12 Name Date Class Graph each rotation around the origin clockwise Graph a rotation around the origin. Graph a reflection counter-clockwise 8. cross the x-axis
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15 Name Date Class Chapter 13 Lesson 13-7 Symmetry Complete each figure. The dashed line is the line of symmetry Complete each figure. The point is the center of rotation fold 8. 4-fold 9. 2-fold fold
16 Name Date Class Complete each figure. The dashed line is the line of symmetry Complete each figure. The point is the center of rotation fold fold Draw an example of a figure with each type of symmetry. 17. line symmetry and rotational symmetry 18. line symmetry but not rotational symmetry
Chapter Review. In the figure shown, m n and r is a transversal. If m 4 = 112, find the measure of each angle. Explain your reasoning.
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1. Identify the different parts of a triangle 2. Classify triangles by their angle measures 3. Classify triangles by their side lengths
Lesson 8 Lesson 8, page 1 of 6 Glencoe Geometry Chapter 4.1, 4.2 Classifying Triangles & Angle Measure By the end of this lesson, you should be able to 1. Identify the different parts of a triangle 2.
pine cone Ratio = 13:8 or 8:5
Chapter 10: Introducing Geometry 10.1 Basic Ideas of Geometry Geometry is everywhere o Road signs o Carpentry o Architecture o Interior design o Advertising o Art o Science Understanding and appreciating
Explore 2 Exploring Interior Angles in Polygons
Explore 2 Exploring Interior Angles in Polygons To determine the sum of the interior angles for any polygon, you can use what you know about the Triangle Sum Theorem by considering how many triangles there