Chapter 5 Lesson 1 Skills Practice - 8TH GRADE MATH DEPARTMENT

[Pages:4]NAME _____________________________________________ DATE_____________________________ PERIOD ____________

Chapter 5 Lesson 1 Skills Practice

Parallel Lines and Angle Relationships

For Exercises 1-12, use the figure at the right. In the figure, line m is parallel to line n. Classify each pair of angles as alternate interior, alternate exterior, or corresponding.

1. 1 and 8 2. 5 and 7 3. 3 and 6 4. 2 and 4 5. 2 and 7 6. 4 and 5 If m4 = 122?, determine each given angle measure. Justify your answer. 7. m8

8. m5

9. m2

10. m1

11. m6

12. m7

For Exercises 13 and 14, use the figure at the right. 13. List all the angles congruent to the given angle. Explain your reasoning.

14. List all the angles congruent to 5. Explain your reasoning.

Course 3 ? Chapter 5 Triangles and the Pythagorean Theorem

NAME _____________________________________________ DATE_____________________________ PERIOD ____________

Chapter 5 Lesson 1 Extra Practice

Parallel Lines and Angle Relationships

Classify each pair of angles as alternate interior, alternate exterior, or corresponding.

1. ?3 and ?6

2. ?7 and ?3

3. ?5 and ?4

4. ?8 and ?1

5. ?2 and ?6

6. ?2 and ?7

Refer to the figure at the right. Line a is parallel to line b and m?2 is 145?. Determine each given angle measure. Justify your answer.

7. m?

8. m?7 9. m?3 10. m?4

Course 3 ? Chapter 5 Triangles and the Pythagorean Theorem

NAME _____________________________________________ DATE_____________________________ PERIOD ____________

Chapter 5 Lesson 1 Homework Practice

Parallel Lines and Angle Relationships

For Exercises 1-6, use the figure at the right. In the figure, line m is parallel to line n: List all pairs of each type of angle.

1. vertical 2. complementary 3. supplementary 4. corresponding 5. alternate interior 6. alternate exterior

Use the figure at the right for Exercises 7-10. 7. Determine the measure of 2. Explain your reasoning.

8. Determine the measure of 3. Explain your reasoning.

9. Determine the measure of 4. Explain your reasoning.

10. Determine the measure of 6. Explain your reasoning.

11. Angles A and B are corresponding angles formed by two parallel lines cut by a transversal. If mA = 4x and mB = 3x + 7, find the value of x. Explain.

12. Angles G and H are supplementary and congruent. If G and H are alternate interior angles, what is the measure of each angle?

Course 3 ? Chapter 5 Triangles and the Pythagorean Theorem

NAME _____________________________________________ DATE_____________________________ PERIOD ____________

Chapter 5 Lesson 1 Problem-Solving Practice

Parallel Lines and Angle Relationships

1. The symbol below is an equal sign with a slash through it. It is used to represent not equal to in math, as in 1 2. If m1 = 108?, classify the relationship between 1 and 2. Then determine mL2. Assume the equal sign consists of parallel lines.

2. Arturo is designing a bridge for science class using parallel supports for the top and bottom beam. Determine m2 if m1 = 60?.

3. For cheerleading practice, Kiara must be able to lift her legs so that they are parallel to her outstretched arms. For each side of her body, what is the relationship between the angle formed by her arms and the floor and the angle formed by her legs and the floor?

4. In the figure, line m is parallel to line n. If m3 = 7x ? 10 and m6 = 5x + 10, What is the measure of 3 and 6?

5. Refer to the figure in Exercise 4. If m1 = 4x + 40, and m5 = 120?, what is the value of x?

6. The drawing below shows the side view of a drawing easel. The brace is parallel to the ground. If mA is 82?, what is the measure of B?

Course 3 ? Chapter 5 Triangles and the Pythagorean Theorem

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