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CCGPS Analytical Geometry Unit 1 Test
Name_______________________
Date_________Pd_____
Directions: For each problem, solve and show all relevant work in the space provided.
Place answers in the table on the answer sheet. Turn in all work. Adhere to the Criteria-forcredit.
Objective 1: MCC9‐12.G.CO.9 Prove theorems about lines and angles
1.
bisects
,m
, and m
. Label the angles and find m
2. Use the figure below to solve for X.
3. Use the figure below to solve for X
4.. <A is supplementary to <B. m<A = 120. find m<B.
m<B = _____
5.. <A is complementary to <B. m<A = 30. find m<B.
m<B = _____
.
CCGPS Analytical Geometry Unit 1 Test
Name_______________________
Date_________Pd_____
6. State two pairs of corresponding angles.
7. Identify the transversal and classify the angle pair
8. Find the value of m
.
and
.
CCGPS Analytical Geometry Unit 1 Test
Name_______________________
Date_________Pd_____
9. Consider the following figure below:
a. Tell whether
and
b. Tell whether
and
. c. Tell whether
are only adjacent, adjacent and form a linear pair, or not adjacent.
are only adjacent, adjacent and form a linear pair, or not adjacent.
and
are only adjacent, adjacent and form a linear pair, or not adjacent.
Objective 2: MCC9‐12.G.CO.10
10. Given
with
,
11. Find the value of n in the triangle.
, and
Prove theorems about triangles.
, find the length of midsegment
.
CCGPS Analytical Geometry Unit 1 Test
12. In the figure below, find
13. Classify
14.
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Date_________Pd_____
.
by its angle measures, given m
is an isosceles triangle.
is the longest side with length
,m
.
, and m
=
and
=
.
. Find
.
CCGPS Analytical Geometry Unit 1 Test
Name_______________________
Date_________Pd_____
Objective 3: MCC9‐12.G.CO.8 Triangle Congruence
15. Find m
, given
16. 3. Given that
,
and m
, and m
= 23°, find m
.
.
E
23º
A
D
C
B
17. State the congruent theorem or postulate that proves
4 cm
E
A
3 cm
3 cm
4 cm
C
B
D
.
CCGPS Analytical Geometry Unit 1 Test
Name_______________________
Date_________Pd_____
18. The figure shows part of the roof structure of a house. State the congruent theorem or postulate that proves
.
19. State the congruent theorem or postulate to prove that the pair of triangles are congruent.
E
A
||
C
||
D
B
20. Performance Task: Is there enough information given to prove that the following pairs of triangles are
congruent?
If so, state the congruence postulate or theorem.
CCGPS Analytical Geometry Unit 1 Test
Name_______________________
Date_________Pd_____