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Congruency Congruent Triangles — Flashcards

ICSE · Class 7 · Mathematics

24 flashcards for Congruency Congruent Triangles (ICSE Class 7 Mathematics) to test yourself on key terms and facts.

58 questions24 flashcards13 formulas & key relations5 concepts

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24 Flashcards·
Meaning of congruencyCongruent linesCorresponding sidesCorresponding anglesSSS conditionSSS applicationSAS conditionSAS correspondence
Card 1Meaning of congruency

Solve: If two triangles coincide exactly when one is placed over the other, what is the relation between them?

Answer

Step 1: Coincide exactly means every part matches. Step 2: Figures that match in shape and size are congruent. Answer: The triangles are congruent.

Card 2Congruent lines

Solve: Two lines AB and CD are congruent if AB = 8 cm and CD = 8 cm. Is this true?

Answer

Step 1: Two lines are congruent only when they are equal in length. Step 2: AB = 8 cm and CD = 8 cm, so the lengths are equal. Answer: Yes, the lines are congruent.

Card 3Corresponding sides

Solve: In congruent triangles ABC and DEF, which sides correspond to AB, BC, and AC?

Answer

Step 1: Match the vertices: A-D, B-E, C-F. Step 2: So AB corresponds to DE, BC corresponds to EF, and AC corresponds to DF. Answer: AB-DE, BC-EF, AC-DF.

Card 4Corresponding angles

Solve: In congruent triangles ABC and DEF, which angles correspond to A, B, and C?

Answer

Step 1: Match the vertices: A-D, B-E, C-F. Step 2: So angle A corresponds to angle D, angle B to angle E, and angle C to angle F. Answer: A-D, B-E, C-F.

Card 5SSS condition

Problem: In triangles ABC and PQR, AB = PQ, BC = QR, and AC = PR. What test proves the triangles congruent?

Answer

Step 1: Three sides of one triangle are equal to three sides of the other triangle. Step 2: That is the SSS condition. Step 3: Therefore ΔABC ≅ ΔPQR. Answer: SSS.

Card 6SSS application

Apply SSS: If AB = PQ, BC = QR, and AC = PR, what else becomes equal in the two triangles?

Answer

Step 1: SSS proves the triangles congruent. Step 2: Corresponding parts of congruent triangles are equal. Step 3: So angle A = angle P, angle B = angle Q, and angle C = angle R. Answer: All correspond…

Card 7SAS condition

Problem: In triangles ABC and ZXY, AB = ZX, BC = XY, and angle ABC = angle ZXY. Which test applies?

Answer

Step 1: Two sides and the included angle are equal. Step 2: This matches the SAS condition. Step 3: Therefore ΔABC ≅ ΔZXY. Answer: SAS.

Card 8SAS correspondence

Solve: In the SAS example, AB corresponds to which side, and angle B corresponds to which angle?

Answer

Step 1: The side pairs are AB-ZX, BC-XY, AC-ZY. Step 2: The angle pairs are B-X, A-Z, C-Y. Answer: AB corresponds to ZX, and angle B corresponds to angle X.

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Frequently Asked Questions

What are the important topics in Congruency Congruent Triangles for ICSE Class 7 Mathematics?
Key topics in Congruency Congruent Triangles include Meaning of Congruency, Congruency in Triangles, Conditions of Congruency, Examples from the Chapter. Study these first, then practise questions on each for Class 7 exams.
How many flashcards are available for Congruency Congruent Triangles?
There are 24 flashcards for Congruency Congruent Triangles covering key definitions, facts and ideas. A few sample cards are shown on this page.
How should I revise Congruency Congruent Triangles for Class 7 exams?
Learn the core ideas first, then work through the 58 practice questions on Congruency Congruent Triangles. Revise definitions regularly and use flashcards for quick recall before the exam.

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