1. Foundations for Geometry
Chapter 1 Review
Foundations for Geometry

2. Question 1 A plane containing E, D, and B. A pair of opposite rays
Name the following:
A plane containing E, D, and B.
A pair of opposite rays
The intersection of plane N and T
The intersection of AC and BD

3. Question 1 A plane containing E, D, and B. A pair of opposite rays
The intersection of plane N and T.
The intersection of AC and BD

4. Question 2
E is between D and F. DE = 3x + 9 EF = 5x – 7 DF = 10x – 22 Find EF.

5. Question 2
E is between D and F. DE = 3x + 9 EF = 5x – 7 DF = 10x – 22 Find EF.

6. Question 3
Given: S is the midpoint of TV TS = 4x – 7 SV = 5x – 15 Find: TS, SV, and TV.

7. Question 3
Given: S is the midpoint of TV TS = 4x – 7 SV = 5x – 15 Find: TS, SV, and TV.

8. Question 4
Given: LH bisects GK at M. GM = 2x + 6 GK = 24 Find: x

9. Question 4
Given: LH bisects GK at M. GM = 2x + 6 GK = 24 Find: x

10. Question 5
If m XTU = 125˚, find the measure of m XTW. What type of angle is STU?

11. Question 5
If m XTU = 125˚, find the measure of m XTW. What type of angle is STU?

12. Question 6
BD bisects ABC m ABD = 1 2 𝑥+10 ˚ m DBC = 𝑥+4 ˚ Find m ABC

13. Question 6
BD bisects ABC m ABD = 1 2 𝑥+10 ˚ m DBC = 𝑥+4 ˚ Find m ABC

14. Question 7
m WYZ = 2𝑥−5 ˚ m XYW = 3𝑥+10 ˚ Find the value of x.

15. Question 7
m WYZ = 2𝑥−5 ˚ m XYW = 3𝑥+10 ˚ Find the value of x.

16. Question 8
If an angle has a measure of 𝑥˚, what is the measure of its complement? Its supplement?

17. Question 8
If an angle has a measure of 𝑥˚, what is the measure of its complement? Its supplement?

18. Question 9
The measure of an angle is 6 more than twice the measure of the supplement. Find the measure of the supplement of the angle.

19. Question 9
The measure of an angle is 6 more than twice the measure of the supplement. Find the measure of the supplement of the angle.

20. Question 10
The measure of the supplement of an angle is 4 less than 3 times the measure of the complement. Find the measure of the complement.

21. Question 10
The measure of the supplement of an angle is 4 less than 3 times the measure of the complement. Find the measure of the supplement.

22. Question 11
A is the midpoint of BC, the midpoint A has coordinates (3, -4) and endpoint C has coordinates (5, -2). Find the coordinates of endpoint B.

23. Question 11
A is the midpoint of BC, the midpoint A has coordinates (3, -4) and endpoint C has coordinates (5, -2). Find the coordinates of endpoint B.

24. Find the distance between (3, -4) and (5, -2).
Question 12
Find the distance between (3, -4) and (5, -2).

25. Find the distance between (3, -4) and (5, -2).
Question 12
Find the distance between (3, -4) and (5, -2).