*Disclaimer: This in-class review is not all-inclusive and does not replace daily attendance, participation in class and homework
completion/correction.
Name _________________________ Period ____Date ______ Quarter 1 Review
Unit 1 Problems
1. Use the diagram to name the following:
a) Name 3 points.
b) Name 2 lines.
c) Name all points in plane H.
d) Name the plane that contains points A, B, and G.
2. Use the diagram to name the following:
a) Name one pair of opposite rays.
b) Name two points that are collinear with point D.
c) Name the point of intersection of line CD with plane A.
d) Name a point that is not coplanar with plane A.
̅̅̅̅ and 𝑈𝑉
̅̅̅̅ are
3. Plot the following points in the coordinate plane. Determine whether 𝑆𝑇
congruent.
4. Find ST.
a)
b)
̅̅̅̅ . Use the information to write an equation in terms of x.
5. Point B is between A and C on 𝐴𝐶
Then solve the equation and find AB, BC, and AC.
a)
b)
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completion/correction.
6. Duplicate the following segment by construction. Name it segment AB.
7. Identify the bisector of ST. Then find ST.
8. Find the distance between the two points. Then find the midpoint of the line segment
connecting the two points. (3, -2) and (4, 9)
Distance:
Midpoint:
9. According to the diagram, which of the following statements are true? Check all that apply.
Show all work.
*Disclaimer: This in-class review is not all-inclusive and does not replace daily attendance, participation in class and homework
completion/correction.
10. Classify the polygon by the number of sides. Tell whether it is convex or concave.
a)
b)
11. Find the measure of each angle. Then classify the angle.
a) 𝑚∠𝐴𝑂𝐵 = _____________
b) 𝑚∠𝐶𝑂𝐷 = _____________
c) 𝑚∠𝐵𝑂𝐷 = _____________
d) 𝑚∠𝐴𝑂𝐷 = _____________
12. If 𝑚∠𝑆𝑄𝑅 = (2𝑥 + 6)° , 𝑚∠𝑃𝑄𝑅 = (10𝑥 − 5)°, and 𝑚∠𝑆𝑄𝑃 = 61°, then find 𝑚∠𝑆𝑄𝑅 and
𝑚∠𝑃𝑄𝑅.
13. If 𝑚∠𝐺𝑂𝐻 = 24° and 𝑚∠𝐹𝑂𝐻 = 50°, then what is the measure of ∠𝐹𝑂𝐺?
⃗⃗⃗⃗⃗⃗ bisects ∠𝐿𝑀𝑁, 𝑚∠𝐿𝑀0 = (15𝑥 − 21)°, and
14. In the figure (not drawn to scale), 𝑀𝑂
𝑚∠𝑁𝑀0 = (𝑥 + 63)°. Solve for x and find 𝑚∠𝐿𝑀𝑁.
*Disclaimer: This in-class review is not all-inclusive and does not replace daily attendance, participation in class and homework
completion/correction.
15. Duplicate the following angle by construction. Name it angle ABC.
⃗⃗⃗⃗⃗ .
16. Bisect the following angle. Name the angle bisector 𝐴𝐷
17. Name each of the following using the diagram below.
a) An angle complementary to ∠𝐵𝑂𝐶: __________
b) An angle that is a linear pair with ∠𝐵𝑂𝐶: __________
c) An angle that is vertical to ∠𝐶𝑂𝐷: __________
d) An angle that is vertical to ∠𝐸𝑂𝐷: __________
e) An angle that is a linear pair with ∠𝐸𝑂𝐷: __________
18. Which is NOT a possible value for y in the figure below?
a) 105
b) 65
c) 80
d) 150
19. Use the figures to name the
following:
*Disclaimer: This in-class review is not all-inclusive and does not replace daily attendance, participation in class and homework
completion/correction.
Unit 2 Problems
20. What is the contrapositive of the statement below?
21. What is the converse of the statement below?
22. What is the inverse of the statement below?
23. What is the next term in the sequence?
a) -32
b) -24
c) 24
d) 32
24. Name the postulate described?
a) Two Point Postulate
b) Line-Point Postulate
c) Plane-Point Postulate
d) Plane-Line Postulate
25. Give the reason for the statement below.
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completion/correction.
26. Name the property of equality that the statement illustrates.
27. Write a justification for each step, given that EG=FH.
28. If the measure of ∠4 is 47°, find the measure of ∠1 and ∠2. The figure may not be drawn to
scale.
29.
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completion/correction.
30. Write a proof.
Given: ∠𝐴𝑂𝐶 ≅ ∠𝐵𝑂𝐷
Prove: ∠𝐴𝑂𝐵 ≅ ∠𝐶𝑂𝐷
Statement
Reason
1.
1.
2.
2.
3.
3.
4.
4.
5.
5.
6.
6.
31. Write a proof.
Given: MO bisects ∠𝐿𝑀𝑁, 𝑚∠𝐿𝑀0 = (10𝑥 − 4)°, 𝑚∠𝑁𝑀0 = (2𝑥 + 20)°
Prove: 𝑥 = 3
Statement
Reason
1.
1.
2.
2.
3.
3.
4.
4.
5.
5.
6.
6.
*Disclaimer: This in-class review is not all-inclusive and does not replace daily attendance, participation in class and homework
completion/correction.
32. Write a proof.
Given: 𝑙 ⊥ 𝑛, 𝑚 ⊥ 𝑛, ∠𝐴𝐵𝐽 ≅ ∠𝐾𝐻𝐿
Prove: ∠𝐷𝐶𝐻 ≅ ∠𝐾𝐻𝐿
Statement
Reason
1.
1.
2.
2.
3.
3.
4.
4.
5.
5.
6.
6.
33. Write a proof.
Given: ∠1 and ∠2 form a linear pair
∠3 and ∠4 form a linear pair
∠2 ≅ ∠3
Prove: ∠1 ≅ ∠4
Statement
Reason
1.
1.
2.
2.
3.
3.
4.
4.
5.
5.
6.
6.