Triangle Congruence Quiz
How strong is your geometry? Can you pass this triangle congruence quiz that we have made for you? Take it up and see for yourself. Congruent triangles are meant by triangles of the same size and shape. This indicates that the corresponding sides and the corresponding angles are equal. We can know whether two triangles are congruent without having the need to test all the sides and angles of the two triangles. All the best to you!
- 1.
- A.
A
- B.
B
- C.
C
- D.
D
Correct Answer
C. C -
- 2.
- A.
A
- B.
B
- C.
C
- D.
D
Correct Answer
B. BExplanation
The corresponding angles that are marked as congruent are the angle at J and the angle at M (both have a single arc), the angle at K and the angle at N (both have two arcs), and the right angles at L and P. Thus, the corresponding vertices in the congruence statement should reflect this order. The hypotenuse and one leg of both right triangles are congruent, which by the Hypotenuse-Leg (HL) theorem, means the triangles are congruent.Rate this question:
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- 3.
In the given congruent triangles under ASA, find the value of X, ΔPQR = ΔSTU.
- A.
10
- B.
40
- C.
50
- D.
30
Correct Answer
D. 30Explanation
In congruent triangles under ASA, the angle-side-angle postulate states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent. Since ΔPQR and ΔSTU are congruent, we can conclude that the measure of angle P is equal to the measure of angle S, the measure of angle Q is equal to the measure of angle T, and the measure of angle R is equal to the measure of angle U. Therefore, the value of X must be 30 degrees.Rate this question:
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- 4.
In the given figure, name the side opposite to vertex A.
- A.
C
- B.
B
- C.
BC
- D.
ABC
Correct Answer
C. BCExplanation
In the given figure, the side opposite to vertex A is BC. This is because in a triangle, the side opposite to a vertex is the side that does not connect to that vertex. In this case, vertex A is connected to sides B and C, but not to side BC. Therefore, BC is the side opposite to vertex A.Rate this question:
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- 5.
- A.
A
- B.
B
- C.
C
- D.
D
Correct Answer
D. D -
- 6.
In the given congruent triangles under ASA, find the value of Y, ΔPQR = ΔSTU.
- A.
70
- B.
90
- C.
120
- D.
130
Correct Answer
B. 90Explanation
In congruent triangles, ASA (Angle-Side-Angle) is a condition where two triangles have one pair of corresponding angles equal and the included sides equal. In this case, since ΔPQR is congruent to ΔSTU under ASA, it means that angle P is equal to angle S, angle Q is equal to angle T, and the included side PR is equal to the included side ST. Therefore, the value of Y, which is the measure of angle Q, is equal to 90 degrees.Rate this question:
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- 7.
- A.
A
- B.
B
- C.
C
- D.
D
Correct Answer
B. B -
- 8.
- A.
A
- B.
B
- C.
C
- D.
D
Correct Answer
A. A -
- 9.
- A.
A
- B.
B
- C.
C
- D.
D
Correct Answer
C. C -
- 10.
- A.
A
- B.
B
- C.
C
- D.
D
Correct Answer
D. D -
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Current Version
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Apr 22, 2024Quiz Edited by
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Expert Reviewed by
Janaisa Harris -
Jan 25, 2012Quiz Created by
Mrs_sreed1
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