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Honors Geometry Q2 Review
Unit 3: Exploring Geometry
1. Find 𝒎∠𝑨𝑶𝑪 and 𝒎∠𝑨𝑶𝑬.
2. Find the value of x.
3. ∠𝑫𝑭𝑮 and ∠𝑱𝑲𝑳 are complementary angles. 𝒎∠𝑫𝑭𝑮 = 𝒙 + 𝟓 and 𝒎∠𝑱𝑲𝑳 = 𝒙 − 𝟗. Find the
measure of each angle.
4. ∠𝟏 and ∠𝟐 are supplementary angles. 𝒎∠𝟏 = 𝒙 − 𝟑𝟗 and 𝒎∠𝟐 = 𝒙 + 𝟔𝟏. Find the measure of
each angle.
5. Find the values of x and y.
6. Find the values of a, b, and c. (Diagram is not drawn to scale)
𝑎 = ______________
𝑏 = ______________
𝑐 = ______________
7. Find the sum of exterior angles of a nonagon.
8. Find the measures of an interior and an exterior
angle of a regular heptagon.
10. How many sides does a regular polygon have if
each exterior angle measure is 30 degrees?
9. The sum of the measures of two exterior angles
of a triangle is 216 degrees. Find the measure of
the third exterior angle.
11. How many sides does a polygon have if the sum 12. How many sides does a regular polygon have if
of the interior angle measures is 6,480 degrees?
each interior angle is 168 degrees?
32. How many sides does a polygon have if the
sum of the interior angle measures is 6,480
degrees?
33. Find the sum of exterior angles of a nonagon.
Find the value of each variable.
13. Regular hexagon
16.
14.
15.
17.
19.
20. 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: _____________________________
18.
Find the value of the variable if a//b. (Diagram is not drawn to scale)
21. If 𝑚∠1 = 3𝑥 + 11 and 𝑚∠5 = 7𝑥 − 5
22. If 𝑚∠5 = 𝑥 − 30 and 𝑚∠4 = 𝑥 + 80
Quadrilaterals
TRUE/FALSE: Determine whether each of the following statements is TRUE or FALSE.
Please indicate by writing TRUE or FALSE on the answer line.
23. __________________A trapezoid has two pairs of parallel sides.
24. __________________A parallelogram has two pairs of congruent opposite angles.
25. __________________A square has perpendicular diagonals.
26. __________________If a quadrilateral has four congruent sides then it must be a square.
27. __________________If a parallelogram has congruent diagonals, then it must be a rectangle or a square.
28. __________________A rhombus has 4 congruent sides and 4 congruent angles.
29. Find the value for each variable in the parallelogram below.
a.
b.
c.
30. Find the value of each missing angle in each rhombus.
a.
m1 = _______ m3 = _______ b.
m1 = _______ m3 = _______
m2 = _______ m4 = _______
m2 = _______ m4 = _______
31. Classify each quadrilateral below and find the measure of each angle.
a)
Name: ________________
b)
m1 = __________
m1 = __________
120°
m2 = __________
70°
Name: ________________
105°
m2 = __________
m3 = __________
32. Classify each parallelogram below and find the measure of each angle.
a)
b)
b)
Name: ________________
m1 = __________
Name: ________________
m1 = __________
m2 = __________
m2 = __________
m3 = __________
m3 = __________
m4 = __________
Unit 4: Congruent Triangles
33.
34. Are the triangles congruent? Mark the triangles appropriately. If yes, complete a congruence statement and
state the shortcut conjecture that supports you answer (SSS, SAS, ASA, SAA). If the two triangles cannot be proven
congruent, write cannot be determined (CBD).
̅̅̅̅ ≅ ̅̅̅̅
𝐴𝐶
𝐵𝐷
̅̅̅̅ ⊥ 𝑆𝑃
̅̅̅̅ , 𝑄𝑆
̅̅̅̅ ⊥ 𝑄𝑅
̅̅̅̅, 𝑃𝑄
̅̅̅̅ ≅ 𝑆𝑅
̅̅̅̅
𝑄𝑆
SRQ
Proofs:
35.
Given: a II b; l
Prove: 1  2
II m
37.
̅̅̅̅
𝐵𝑇 ≅ ̅̅̅̅
𝐵𝑆
l II m; 1  2
Prove: a II b
36. Given:
38. Given: ̅̅̅̅̅
𝑊𝑋 bisects ∠𝐴𝑊𝑌; ̅̅̅̅̅
𝐴𝑊 ≅ ̅̅̅̅̅
𝑌𝑊
Prove: ∆𝑊𝑋𝐴 ≅ ∆𝑊𝑋𝑌
39.
40.
∠𝐷 ≅ ∠𝐵
̅̅̅̅
𝐴𝐷 ∥ ̅̅̅̅
𝐵𝐶
Statement__________________ Reason__________________
1._______________________
1.______________________
2._______________________
2.______________________
3._______________________
3.______________________
4._______________________
4.______________________
5._______________________
5.______________________
6._______________________
6.______________________