Geometric Twins Class 7 MCQ Maths Part 2 Chapter 1 - #NCSOLVE 📚

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MCQ on Geometric Twins Class 7

Geometric Twins Class MCQ Class 7

Class 7 Geometric Twins Class MCQ

Multiple Choice Questions (MCQs)

Question 1.
Which of the following is a valid condition for triangle congruence?
(a) AAA
(b) AAS
(c) SSA
(d) A+B+C=180°
Solution:
(b) AAS

Question 2.
Which condition guarantees congruence only in right angled triangles?
(a) ASA
(b) SSS
(c) RHS
(d) AAS
Solution:
(c) RHS

Question 3.
If two triangles are congruent under any valid congruence condition, then:
(a) Only sides are equal
(b) Only angles are equal
(c) Both corresponding sides and corresponding angles are equal
(d) They may differ in shape
Solution:
(c) Both corresponding sides and corresponding angles are equal

Question 4.
By which of the following condition can two triangles not be proved congruent?
(a) AAA
(b) SSS
(c) SAS
(d) ASA
Solution:
(a) AAA

Question 5.
In two right-angled triangles, if the hypotenuse and one side are equal, can the triangles be congruent?
(a) Yes, always congruent.
(b) No, because one angle is missing.
(c) Yes, this is the RHS (Right Hypotenuse Side) condition.
(d) No, the side must be opposite the right angle.
Solution:
(c) Yes, this is the RHS (Right Hypotenuse Side) condition.

Assertion and Reason Questions

In the following questions (6-7), a statement of Assertion (A) is followed by a statement of Reason (R). Choose the correct option as:
(a) Both assertion and reason are true, and the reason is the correct explanation of the assertion.
(b) Both assertion and reason are true, but the reason is not the correct explanation of the assertion.
(c) Assertion is true, and the reason is false.
(d) Assertion is false, and the reason is true.

Question 1.
Assertion (A): Two triangles with corresponding sides proportional are always congruent.
Reason (R): For congruence, the corresponding sides and angle must be equal, not just proportional.
Solution:
(d) Assertion is false, and the reason is true.

Question 2.
Assertion (A): If ABC is an equilateral triangle, then each angle is equal to 60°.
Reason (R): An equilateral triangle has all its sides equal and each angle measures 60°.
Solution:
(a) Both assertion and reason are true, and the reason is the correct explanation of the assertion.

Fill in the blanks.

Question 1.
Two figures are said to be ………….. if they have the same shape and size.
Solution:
congruent

Question 2.
In a right-angled triangle, the side opposite the right angle is called the ………….
Solution:
hypotenuse

Question 3.
If three sides of one triangle are equal to the three sides of another triangle, then the triangles are congruent by the …………condition.
Solution:
SSS (Side-Side-Side)

Question 4.
If two sides and the included angle of one triangle are equal to the corresponding two sides and included. angle of another triangle, they are congruent by the …………condition.
Solution:
SAS (Side-Angle-Side)

Question  5.
The ASA condition stands for ………….
Solution:
Angle-Side-Angle

True/False

Question 1.
An equilateral triangle can be a right triangle.
Solution:
False

Question 2.
If the angles and any side of a triangle are equal to the corresponding angles and the side of another triangle, then the triangles are congruent.
Solution:
True

Question 3.
A triangle can have all three angles with measures less than 60°
Solution:
False

Question 4.
If two triangles are equal in area, they are congruent.
Solution:
False

Question 5.
If two triangles are congruent, then they have equal area.
Solution:
True

Answer the following

Question 1.
In the given figure, DE=DG and FE=FG. Prove that ΔDFE ≅ ΔDFG.
Solution:

Question 2.
In an isosceles triangle PQR, PQ = PR, the bisector of ∠P meets at S.

Answer the following.
(a) Is ΔPQS ≅ ΔPRS Give reasons.
Solution:
Yes

(b) Is S the mid-point of QR?
Solution:
Yes

(c) Find ∠PSQ.
Solution:
90°

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