1/9/14
Congruent Triangles Unit Test
Congruent Triangles Unit Test
Maria Smith is taking this assessment.
1.
If ΔRST
2.
Given ΔRST
ΔNPQ, then
is congruent to _____. (1 point)
ΔNPQ, RT = 7x – 5, NQ = 5x + 11, find the length of
and
. (1 point)
8
51
40
56
3.
Which triangle congruence theorem can be used to show ΔJKN
ΔLKM?
(1 point)
SSS
ASA
AAS
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Congruent Triangles Unit Test
SAS
4.
ΔTIC is an isosceles triangle with vertex angle I. If the ∠I = 70º , then find the measure of ∠T. (1 point)
70º
110º
55º
20º
True or False
5.
All right triangles are isosceles. (1 point)
true
false
Short Answer
Your teacher will grade your responses for questions 7–15, to ensure that you receive proper credit for your answers.
6.
What are the missing reasons in the two-column proof?
Given:
bisects PMN and
Prove: PMO
NMO
bisects PON
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Congruent Triangles Unit Test
(6 points)
7.
Supply the reasons missing from the proof shown below.
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Congruent Triangles Unit Test
(2 points)
8.
What is the value of x ?
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Congruent Triangles Unit Test
(1 point)
9.
Is
PQS
RQS by HL? If so, name the legs that allow the use of HL.
(2 points)
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10.
Congruent Triangles Unit Test
Name a pair of triangles in the figure and state whether they are congruent by SSS, SAS, ASA, AAS, or HL.
Given:
11.
(3 points)
Write a paragraph proof.
Given:
and
Prove:
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(5 points)
12.
Given
IFN
SJP, name all the pairs of corresponding parts. (6 points)
13.
Using the words from the word list, name all the parts of the isosceles triangle in the diagram below. Some words may be used more than once.
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(6 points)
14.
What does CPCTC represent and when would you use it? (2 points)
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Essay
Your teacher will grade your response to ensure that you receive proper credit for your answer.
15. It is the same distance from second base to first base, and from second base to third base. The angle formed by first base, second base, and
home plate has the same measure as the angle formed by third base, second base, and home plate. What can you conclude about the distance from first
base to home plate, and from home plate to third base? Explain.
(6 points)
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