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Test: Congruence Criteria- SSS And RHS - Class 9 MCQ


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10 Questions MCQ Test Mathematics (Maths) Class 9 - Test: Congruence Criteria- SSS And RHS

Test: Congruence Criteria- SSS And RHS for Class 9 2024 is part of Mathematics (Maths) Class 9 preparation. The Test: Congruence Criteria- SSS And RHS questions and answers have been prepared according to the Class 9 exam syllabus.The Test: Congruence Criteria- SSS And RHS MCQs are made for Class 9 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Congruence Criteria- SSS And RHS below.
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Test: Congruence Criteria- SSS And RHS - Question 1

In isosceles ΔPQR, PQ = PR, M is the mid point of QR. LM ⊥ PQ, MN ⊥ PR. By which criterion of congruency is ΔQLM 0 ≅ ΔMNR.

Detailed Solution for Test: Congruence Criteria- SSS And RHS - Question 1

∠LQ = ∠MNR,

∠Q = ∠R

QM = MR,

Hence, ΔQLM ≅ ΔMNR (by AAS)

Test: Congruence Criteria- SSS And RHS - Question 2

ABCD is a parallelogram, if the two diagonals are equal, then by what criterion are the triangles ABD and ABC congruent

Detailed Solution for Test: Congruence Criteria- SSS And RHS - Question 2

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Test: Congruence Criteria- SSS And RHS - Question 3

In ΔABC and ΔPBC, AB = BP and AC = PC. Can you say whether the triangles are congruent to each other or not:

Test: Congruence Criteria- SSS And RHS - Question 4

In the given figure, AB = PQ, BC = QR and the median AD is equal to the median PM of the other triangle PQR, then ΔABD is congruent  ΔPQM by the criterion

Test: Congruence Criteria- SSS And RHS - Question 5

Two equilateral triangles are congruent when:

Detailed Solution for Test: Congruence Criteria- SSS And RHS - Question 5

Explanation: For two equilateral triangles to be congruent, their corresponding sides must be equal in length. In congruent triangles, all corresponding sides and angles are identical. While equilateral triangles always have equal angles (60°), congruence is specifically determined by the equality of sides.

Test: Congruence Criteria- SSS And RHS - Question 6

In the following figure, if PQR ≅ ABC, then

Test: Congruence Criteria- SSS And RHS - Question 7

Choose the correct statement

Test: Congruence Criteria- SSS And RHS - Question 8

In ΔABC and PQR, AB = QR, BC = RP, AC = QP. So,

Detailed Solution for Test: Congruence Criteria- SSS And RHS - Question 8
Option b is correct because when we write the names of triangle we write according to the corresponding parts of one triangle to otherfor eg. in ∆abc and ∆qrp we have ab = qr which also corresponds to the corresponding parts of congurent triangles property
Test: Congruence Criteria- SSS And RHS - Question 9

In the following figure, PT is the bisector of ___________.

Detailed Solution for Test: Congruence Criteria- SSS And RHS - Question 9

as QT = TR and QP = PR
then  QT/QP = TR/PR
so PT would be internal bisector of ∠QPR

Test: Congruence Criteria- SSS And RHS - Question 10

PQRS is a parallelogram, if the two diagonals are equal, then the measure of PQR is:

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