Geometric Twins — Important Questions
CBSE · Class 7 · Mathematics
113 important questions from Geometric Twins for CBSE Class 7 Mathematics, with answers. Part of the CBSE Class 7 Mathematics syllabus.
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Important Questions from Geometric Twins
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?
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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
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
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