1/9/14
Congruence in Right Triangles Quiz
Congruence in Right Triangles Quiz
Maria Smith is taking this assessment.
Multiple Choice
1. R , S, and T are the vertices of one triangle. E, F, and D are the vertices of another triangle. m R = 60, m S = 80, m F = 60, m D = 40,
RS = 4, and EF = 4. Are the two triangles congruent? If yes, explain and tell which segment is congruent to
. (1 point)
yes, by ASA;
yes, by AAS;
yes, by SAS;
No, the triangles are not congruent
2.
Find the value of x. The diagram is not to scale.
Given:
, m RST = 7x - 54, m STU = 8x.
(1 point)
14
152
16
19
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Congruence in Right Triangles Quiz
3.
What additional information will allow you to prove the triangles congruent by the HL Theorem?
(1 point)
A
E
m BCE = 90
True or False
4.
All equilateral triangles are also isosceles. (1 point)
True
False
Fill in the Blank
5.
In an isosceles triangle with two congruent sides, the angles across from the legs are called ________ angles. (1 point)
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Congruence in Right Triangles Quiz
Short Answer
Your teacher will grade your responses to questions 6–9 to ensure that you receive proper credit for your answers.
6.
Supply the missing reasons to complete the proof.
Given: Q
Prove:
T and
(2 points)
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Congruence in Right Triangles Quiz
7.
Complete the proof by providing the missing statement and reasons.
Given:SD HT;
Prove: SHD = STD
(3 points)
8.
How are the angles of an equilateral triangle related? (2 points)
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9.
Congruence in Right Triangles Quiz
How does the length of the hypotenuse in a right triangle relate to the lengths of the legs? (2 points)
Essay
Your teacher will grade your responses for questions 10–12 to ensure that you receive proper credit for your answers.
10.
Explain how proving two triangles congruent can help prove parts of the triangle congruent. (3 points)
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Congruence in Right Triangles Quiz
11. Note: Remember to show all of the steps that you use to solve the problem for questions 11–12. You can use the comments field to explain your
work. Your teacher will review each step of your responses.
What is the value of x?
(2 points)
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Congruence in Right Triangles Quiz
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12.
Congruence in Right Triangles Quiz
Find the values of x and y.
(3 points)
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