Geometric Twins — Practice Quiz
CBSE · Class 7 · Mathematics
Try a 4-question quiz on Geometric Twins for CBSE Class 7 Mathematics: tap an answer to check it and see why. 113 questions in the full chapter test.
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Quick Quiz: Geometric Twins
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A triangle has side lengths 4 cm, 6 cm, and 8 cm. Another triangle has side lengths 4 cm, 6 cm, and 8 cm. What must be true about the two triangles?
A right triangle has a right angle, hypotenuse 10 cm, and one other side 6 cm. Another right triangle has a right angle, hypotenuse 10 cm, and one other side 6 cm. What conclusion is correct?
In a triangle, two sides are 6 cm and 5 cm, and the included angle is 30°. Another triangle has the same two sides and the same included angle. What is the correct conclusion?
A triangle has angles 50°, 30°, and a side of 5 cm between the 50° and 30° angles. Another triangle has the same two angles and the same included side. Which condition applies?
Sample Questions
Triangle ABC has AB = 7 cm, AC = 9 cm, and angle B = 40°. Another triangle has the same AB and AC lengths, but angle B is also 40°. Which statement is correct?
Show answer
The triangles need not be congruent because this is SSA
Step 1: Two sides are equal: 7 cm and 9 cm. Step 2: The given angle is not the included angle between those two sides. Step 3: This is the SSA case. Step 4: SSA does not guarantee congruence. So the triangles need not be congruent.
A triangle has sides 40 cm, 60 cm, and 80 cm. Which measurement set is enough to recreate a congruent triangle exactly?
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Only the three side lengths
Step 1: A triangle is fixed by its three side lengths. Step 2: Equal side lengths give the SSS condition. Step 3: SSS guarantees congruence. So the three side lengths are enough.
Triangle ABC and triangle XYZ are congruent. Which correspondence is correct if A matches X and B matches Y?
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C matches Z
Step 1: Congruent triangles must match vertices in order. Step 2: If A matches X and B matches Y, the remaining vertex must match the remaining vertex. Step 3: So C matches Z. This keeps corresponding sides and angles aligned.
If triangle ABC is written as congruent to triangle XYZ, which side pair is corresponding?
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AB and XY
Step 1: In the order ABC and XYZ, the first vertices correspond. Step 2: A matches X and B matches Y. Step 3: So side AB matches side XY. That is the corresponding side pair.
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Sources & Official References
- NCERT Official — ncert.nic.in
- CBSE Academic — cbseacademic.nic.in
- CBSE Official — cbse.gov.in
- National Education Policy 2020 — education.gov.in
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