Section 13.1 Angle Relationships
Use the given information to find m

2 .
1.

1 and

2 are complementary angles, and m

1

76
°.
2.

1 and

2 are vertical angles, and m

1

84
°.
3.

1 and

2 are supplementary angles, and m

1

121
°.
Section 13.2: Angles and Parallel Lines
Tell whether the angles in the diagram are corresponding, alternate interior, or alternate exterior angles.
4.

2 and

6 5.

3 and

6 6.

2 and

7 7.

4 and

5
In the diagram above, lines m and n are parallel, and m

1

115
°. Find the specified angle measure.
8. m

2 9. m

4 10. m

5 11. m

7
Section 13.3: Angles and Polygons
Find the measures of an interior angle and an exterior angle of the regular polygon.
Round your answer to the nearest tenth, if necessary.
12. Heptagon 13. Octagon 14. 10-gon 15. 13-gon
16. The measures of a triangle’s exterior angles, one at each vertex, are 97 degrees,
102 degrees, and y degrees. Find the value of y.

Section 13.4: Translations
17. Draw
∆ABC with vertices A(-4, 1), B(-2, 3), and C(-1, 1). Then find the coordinates of the vertices of the image after the translation ( x , y )

( x

3 , y

4 ) , and draw the image.
Section 13.5: Reflections and Symmetry
18. Draw ∆LMN with vertices L(-3, -1), M(-2, -2), and N(-4, -3). Then find the coordinates of the vertices of the image after being reflected in the x-axis, and draw the image.
Section 13.6: Rotations and Symmetry
19. Draw ∆PQR with vertices P(1, 2), Q(2, 3), and R(3, 1). Then find the coordinates of the vertices of the image after a 90 ° clockwise rotation, and draw the image.

Section 13.7: Dilations
20.
Draw ∆FGH with vertices F(-4, -2), G(0, 2), and H(4, 2). Then find the coordinates of the vertices of the image after a dilation having a scale factor of
0.5, and draw the image.