Download Honors Geometry Quarter 2 Review Guide

Name: _______________________ Date _________ Period _____
Honors Geometry Q2 Review
1. The given line markings show how the roads in a town are related to one another.
a) Name a pair of parallel lines. ___________________________
b) Name a pair of perpendicular lines. ______________________
⃡ ? Explain in your own words. Then name the rule
⃡ ∥ 𝐴𝐶
c) Is 𝐹𝐸
that helps explain this.
d) Is ⃡𝐴𝐶 ⊥ ⃡𝐵𝐹 ? Explain in your own words. Then name the rule
that helps explain this.
2. Use the diagram to below to classify each angle pair.
a. ∠9 𝑎𝑛𝑑 ∠16: _____________________________
b. ∠4 𝑎𝑛𝑑 ∠12: _____________________________
c. ∠10 𝑎𝑛𝑑 ∠13: _____________________________
d. ∠6 𝑎𝑛𝑑 ∠7: _____________________________
e. ∠11 𝑎𝑛𝑑 ∠14: _____________________________
Find the value of the variable if a//b. (Diagram is not drawn to scale) Name the rule that
enables you to write your equation.
3. If 𝑚∠1 = 3𝑥 + 11 and 𝑚∠5 = 7𝑥 − 5
4. If 𝑚∠5 = 𝑥 − 30 and 𝑚∠4 = 𝑥 + 80
For #5-7, use the given information to determine which lines, if any, must be parallel. State the
conjecture that justifies your conclusion.
5. 5  4
Parallel Lines: ___________
Reason: __________________________________
6.
11  14 Parallel Lines: _________
Reason: __________________________________
7.
5 supplements 9 Parallel Lines: ________
Reason: ___________________________________
8. Find the distance from point A to ⃡𝑋𝑍.
Determine which lines, if any, must be parallel. What rule allows you to conclude each pair?
9.
10. Write an equation of the line passing through the given point that is parallel to the given line.
A (6, -1); 𝑦 = −2𝑥 + 8
11. Write an equation of the line passing through the given point that is perpendicular to the given line.
A (6, -1); 𝑦 = −2𝑥 + 8
12. Construct the following:
a. Line parallel to given line through given point:
b. Perpendicular bisector of given segment:
c. Line perpendicular to given line through given point:
d. Line perpendicular to given line through given point:
Unit 5: Congruent Triangles
Classify each triangle by sides and by angles:
13. _______________ 14. _______________ 15. _______________ 16. ______________
_______________
_______________
_______________
______________
17. Find the measure of the three interior angles of a triangle if the second is 9 degrees more
than five times the first and the third is three times the measure of the first. What rule are
you using to solve this problem?
Find the values of the variables. What rule are you using on each example?
18.
19.
20.
Find the value of each variable.
21.
22.
23.
Copy and complete the statement. State which rule you used.
̅̅̅̅̅ ≅ 𝑊𝑋
̅̅̅̅̅, then ∠_________ ≅ ∠_________.
24. If 𝑉𝑊
25. If ∠𝑍𝑉𝑋 ≅ ∠𝑍𝑋𝑉, then _________ ≅ _________.
26. If ∠𝑋𝑍𝑌 ≅ ∠𝑍𝑋𝑌 ≅ ∠𝑌, then _________ ≅ _________ ≅ _________.
̅̅̅̅ ≅ ̅̅̅̅
27. If ̅̅̅̅
𝑋𝑍 ≅ 𝑋𝑌
𝑍𝑌, then ∠_________ ≅ ∠_________ ≅ ∠_________.
28.
29. Are the triangles congruent? Mark the triangles appropriately. If yes, complete a congruence statement and
state the rule that supports you answer. If the two triangles cannot be proven congruent, write cannot be determined
(CBD) and explain why not.
̅̅̅̅
𝐴𝐶 ≅ ̅̅̅̅
𝐵𝐷
̅̅̅̅ ⊥ 𝑆𝑃
̅̅̅̅ , 𝑄𝑆
̅̅̅̅ ⊥ 𝑄𝑅
̅̅̅̅, 𝑃𝑄
̅̅̅̅ ≅ 𝑆𝑅
̅̅̅̅
𝑄𝑆
SRQ
Proofs:
30.
Given: a II b; l
Prove: 1  2
II m
32.
̅̅̅̅
̅̅̅̅ ≅ 𝐵𝑆
𝐵𝑇
34.
∠𝐷 ≅ ∠𝐵
̅̅̅̅
𝐴𝐷 ∥ ̅̅̅̅
𝐵𝐶
l II m; 1  2
Prove: a II b
31. Given:
33. Given: ̅̅̅̅̅
𝑊𝑋 bisects ∠𝐴𝑊𝑌; ̅̅̅̅̅
𝐴𝑊 ≅ ̅̅̅̅̅
𝑌𝑊
Prove: ∆𝑊𝑋𝐴 ≅ ∆𝑊𝑋𝑌
35.
Statement__________________ Reason__________________
1._______________________
1.______________________
2._______________________
2.______________________
3._______________________
3.______________________
4._______________________
4.______________________
5._______________________
5.______________________
6._______________________
6.______________________