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Maths
Quiz for Class 7 Congruence of Triangles |
In this post, you will find 20 online maths quiz questions for
class 7 congruence of triangles. Online maths quiz will take around 20 minutes
or less to complete it.
Question 1: AB and PQ are two congruent line segments. If AB = 5.5 cm, then PQ = __________.
A) 4 cm
B) 5 cm
C) 5.5 cm
D) 11 cm
Explanation: Two congruent line segments are equal in length.
Question 2: The length of a side of square ABCD is 8 cm. The length of a side of another square PQRS, which is congruent to square ABCD, is _________.
A) 8 cm
B) 4 cm
C) 2 cm
D) 16 cm
Explanation: The lengths of the sides of congruent squares are equal.
Question 3: Two circles are congruent. If the radius of one circle measures 4.5 cm, then the diameter of the other circle is ___________.
A) 9 cm
B) 4.5 cm
C) 4 cm
D) 5 cm
Explanation: The radii of congruent circles are equal. Their diameter = 2 × radius = 2 × 4.5 = 9 cm
Question 4: Two angles are congruent. If one angle measures 40°, then the other angle is __________.
A) 90°
B) 40°
C) 50°
D) 60°
Explanation: Congruent angles have equal measures.
Question 5: Two triangles ΔABC and ΔXYZ are congruent by the correspondence ΔBAC ↔ ΔXZY. Find the angle correspond to ∠A.
A) ∠Y
B) ∠Z
C) ∠X
D) ∠C
Explanation: The angle correspond to ∠A is ∠Z.
Question 6: Two triangles ΔABC and ΔXYZ are congruent by the correspondence ΔABC ↔ ΔYZX. Find the side correspond to side BC.
A) XY
B) YZ
C) ZX
D) YX
Explanation: The side correspond to side BC is ZX.
Question 7: Two triangles ΔABC and ΔXYZ are congruent by the correspondence ΔBCA ↔ ΔXYZ. Find the side correspond to YZ.
A) AB
B) CA
C) BC
D) CB
Explanation: The side correspond to side YZ is CA.
Question 8: Two triangles ΔMNO and ΔABC are congruent by the correspondence ΔMON ↔ ΔCBA. Find the angle correspond to ∠N.
A) ∠C
B) ∠B
C) ∠M
D) ∠A
Explanation: The angle correspond to ∠N is ∠A.
Question 9: The side of an equilateral triangle is 5 cm. What is the perimeter of the triangle which is congruent to it?
A) 15 cm
B) 5 cm
C) 10 cm
D) 20 cm
Explanation: The perimeters of congruent equilateral triangles are equal. Therefore, perimeter = 3 × 5 = 15 cm
Question 10: Two rectangles are congruent if their ________________________.
A) areas are equal
B) lengths are equal
C) dimensions are equal
D) breadths are equal
Explanation: Two rectangles are congruent if their dimensions are equal.
Question 11: Which of the following is not a criteria for congruency?
A) SSS
B) AAA
C) SAS
D) ASA
Explanation: AAA is not a criteria for congruency.
Question 12: Which of the following is a criteria for congruency?
A) SSA
B) RHS
C) AAA
D) ASS
Explanation: RHS is a criteria for congruency.
Question 13: Given that ΔABC and ΔPQR are congruent triangles by the correspondence ABC ↔ PQR. If AB = 6 cm, BC = 5 cm and AC = 7 cm, then find the lengths of QR.
A) 5 cm
B) 6 cm
C) 7 cm
D) 11 cm
Explanation: The side QR is correspond to BC. Therefore, QR = BC = 5 cm
Question 14: We have given that ΔABC and ΔPQR are congruent triangles by the correspondence BCA ↔ PRQ. If BC = 4.5 cm, CA = 5.5 cm and AB = 6.5 cm, then find the lengths of QP.
A) 4 cm
B) 4.5 cm
C) 5.5 cm
D) 6.5 cm
Explanation: The side correspond to QP is AB. Therefore, QP = AB = 6.5 cm.
Question 15: In ΔABC, ∠A = 60°, ∠B = 70° and BC = 7 cm. A ΔPQR is congruent to ΔABC by the correspondence ABC ↔ PQR. Find the measure of ∠R.
A) 70°
B) 60°
C) 50°
D) 40°
Explanation: ∠R is corresponding to ∠C. Therefore, ∠R = ∠C = 180° – (60° + 70°) = 180° – 130° = 50°
Question 16: In ΔABC, ∠A = 50°, ∠B = 60° and AB = 6 cm. In ΔPQR, ∠P = 60°, ∠R = 50° and RP = 6 cm. The two triangles are congruent by the correspondence ____________.
A) ABC ↔ PQR
B) ABC ↔ RPQ
C) BCA ↔ PQR
D) BAC ↔ RPQ
Explanation: The correct correspondence is ABC ↔ RPQ.
Question 17: In a right-angled ΔABC, AB = 6 cm, ∠B = 90° and BC = 8 cm. A ΔPQR is congruent to ΔABC by the correspondence ABC ↔ PQR. Find the length of the side PR.
A) 10 cm
B) 8 cm
C) 6 cm
D) 4 cm
Explanation: PR is correspond to AC. Therefore, PR = AC = √(62 + 82) = √(36 + 64) = √100 = 10 cm
Question 18: In the given figure, which two triangles are not congruent?
A) ΔAOB and ΔAOD
B) ΔCOB and ΔCOD
C) ΔAOD and ΔBOC
D) ΔABC and ΔADC
Explanation: ΔAOD and ΔBOC are not congruent triangles.
Question 19: In the given figure, ΔACB and ΔDCE are congruent by the criteria ________.
A) SSS
B) SAS
C) ASA
D) RHS
Explanation: ΔACB and ΔDCE are congruent by the criteria SAS.
Question 20: In the given figure, ΔABC and ΔPQR are congruent by the criteria _________.
A) SSS
B) RHS
C) ASA
D) SAS
Explanation: ΔABC and ΔPQR are congruent by the criteria ASA.
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