The document contains a review of geometry concepts including: - If a transversal is perpendicular to one parallel line, it is perpendicular to the other parallel line. - The measure of the exterior angle of a triangle equals the sum of the measures of the two remote interior angles. - A problem asking to find the measure of the sixth angle of a hexagon given the measures of the other five angles. - Questions asking about properties of polygons including the number of diagonals, interior angle sums, and exterior angles.

1. Ch. 3 Review
Questions

2. Complete the Statement:
If a transversal is __________
to one of two parallel lines,
then it is perpendicular to
the other one

3. Complete the Statement:
The measure of the
______________ of a triangle
equals the sum of the
measures of the two remote
interior angles.

4. Five of the angles of a convex
hexagon have measures 112,
100, 90, 160, and 115. Find the
measure of the sixth angle.

5. Find the number of diagonals
in a polygon with 20 sides

6. The measure of one
interior angle of a regular
polygon is 170. Find the
number of sides.

7. Always, Sometimes, Never
Two lines that do not
intersect are _____ parallel.

8. BONUS!!
Find the values of x and y:

9. True or False:
In a triangle there can be
at most one right angle
and one obtuse angle.

10. BONUS!!
Complete the Statement:
If each exterior angle of a
polygon has measure 15,
then the polygon has _____
sides.

11. Find the values of x and y:

12. True or False:
The acute angles of a right
triangle are complementary.

13. BONUS!!
The measure of the largest
angle of a triangle is twice the
measure of the smallest angle
and 20 more than the measure
of the third angle. Find the
measure of three angles.

14. Find the measure of angle 5:
Given:
and
and m ABC = 150

15. Find the measure of angle 1:
Given:
and
and m ABC = 150

16. BONUS!!
Find the sum of the
measures of the interior
angles of a polygon with
7 sides.

17. Always, Sometimes, Never


18. If x, 2x, and 3x are the
measures of the angles
of a triangle, find the
value of x

19. BONUS!!
Complete the Statement:
The sum of the measures of
the interior angles of a
octagon is _____.

20. What kind of triangle is ABC ?
A
F
4
8
9
B
8
G
17
8
4
C
15
D
E

21. What kind of triangle is ACD ?
A
F
4
8
9
B
8
G
17
8
4
C
15
D
E

22. What kind of triangle is ADB ?
A
F
4
8
9
B
8
G
17
8
4
C
15
D
E

23. What kind of triangle is FGD ?
A
F
4
8
9
B
8
G
17
8
4
C
15
D
E

24. What kind of triangle is BCD ?
A
F
4
8
9
B
8
G
17
8
4
C
15
D
E

25. Find the measure of one
exterior angle of a regular
polygon with 15 sides.

26. What is the same side interior
angle to 5?

27. Always, Sometimes, Never
If two parallel lines are cut by
a transversal, then the
alternate interior angles are
_____ supplementary.

28. Use inductive reasoning to
predict the next two
numbers of the following
sequence: -1, 2, -4, 8, -16, 32,
….

29. True or False:
Parallel lines are always
coplanar

30. Complete the Statement:
The sum of the measures of
the exterior angles in a
pentagon is _____.