Find the line segments that are congruent to AB ¯ .

To check line segments that are congruent to AB ¯ , make a copy of AB ¯ using a tracing paper and place it on PQ ¯ . If the copy of AB ¯ covers PQ ¯ such that the point A coincides with the point P and the point B coincides with the point Q, we can conclude that AB ¯ and PQ ¯ are congruent line segments. We will follow the same process for the line segments EF ¯ and CD ¯ . Hence, Line segment CD, EF and PQ are equal and hence congruent to AB.

Whether XY ¯ and ZY ¯ are congruent or not.

To check line segments that are congruent to XY ¯ , make a copy of XY ¯ using a tracing paper and place it on ZY ¯ . If the copy of XY ¯ covers ZY ¯ such that the point X coincides with the point Z and the point Y coincides with the point Y, we can conclude that XY ¯ and ZY ¯ are congruent line segments. But here, XY ¯ does not coincide with the line ZY ¯ . Hence, line segments XY ¯ and ZY ¯ are not congruent.

Two triangles △ ABC and △ XYZ are congruent by the correspondence △ BAC ↔ △ XZY . Write the parts of △ BAC that correspond to ∠ X .

Given that two triangles △ ABC and △ XYZ are congruent by the correspondence △ BAC ↔ △ XZY . If the correspondence is given as △ BAC ↔ △ XZY then B ↔ X , A ↔ Z , C ↔ Y so Corresponding angles: ∠ A in △ BAC corresponds to ∠ Z in △ XYZ . ∠ C in △ BAC corresponds to ∠ Y in △ XYZ . ∠ B in △ BAC corresponds to ∠ X in △ XYZ . Hence, ∠ B corresponds to ∠ X .

Two triangles △ ABC and △ XYZ are congruent by the correspondence △ BAC ↔ △ XZY . Write the parts of △ BAC that correspond to ZY ¯ .

Given that two triangles △ ABC and △ XYZ are congruent by the correspondence △ BAC ↔ △ XZY . If the correspondence is given as △ BAC ↔ △ XZY then B ↔ X , A ↔ Z , C ↔ Y so Corresponding sides: BA in △ BAC corresponds to XZ in △ XYZ . AC in △ BAC corresponds to ZY in △ XYZ . CB in △ BAC corresponds to YX in △ XYZ . Hence, ZY corresponds to AC .

E M B I B E

Maths Express 7>Chapter 14 - Congruence of Triangles>EXERCISE 14.1

EXERCISE 14.1

Author:Jayashree Vipin

Jayashree Vipin Mathematics Solutions for EXERCISE 14.1

Simple step-by-step solutions to EXERCISE 14.1 questions of Congruence of Triangles from Maths Express 7. Also get 3D topic explainers, cheat sheets, and unlimited doubts solving on EMBIBE.

Questions from EXERCISE 14.1 with Hints & Solutions

EASY

7th CBSE

IMPORTANT

Maths Express 7>Chapter 14 - Congruence of Triangles>EXERCISE 14.1>Q 1

Find the line segments that are congruent to $\bar{AB}$ .

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EASY

7th CBSE

IMPORTANT

Maths Express 7>Chapter 14 - Congruence of Triangles>EXERCISE 14.1>Q 1

Whether $\bar{XY} and \bar{ZY}$ are congruent or not.

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EASY

7th CBSE

IMPORTANT

Maths Express 7>Chapter 14 - Congruence of Triangles>EXERCISE 14.1>Q 2

Find the angles that are congruent to $∠ ABC$ from the following figures.

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MEDIUM

7th CBSE

IMPORTANT

Maths Express 7>Chapter 14 - Congruence of Triangles>EXERCISE 14.1>Q 3

Two triangles $△ ABC and △ XYZ$ are congruent by the correspondence $△ BAC \leftrightarrow △ XZY$ . Write the parts of $△ BAC$ that correspond to $∠ X$ .

MEDIUM

7th CBSE

IMPORTANT

Maths Express 7>Chapter 14 - Congruence of Triangles>EXERCISE 14.1>Q 3

Two triangles $△ ABC and △ XYZ$ are congruent by the correspondence $△ BAC \leftrightarrow △ XZY$ . Write the parts of $△ BAC$ that correspond to $\bar{ZY}$ .

MEDIUM

7th CBSE

IMPORTANT

Maths Express 7>Chapter 14 - Congruence of Triangles>EXERCISE 14.1>Q 4

The side of an equilateral triangle is $9 cm$ . Find the perimeter of a triangle congruent to it.

MEDIUM

7th CBSE

IMPORTANT

Maths Express 7>Chapter 14 - Congruence of Triangles>EXERCISE 14.1>Q 6

Mr Ashok Jain has a plot in the shape of a parallelogram. He wanted to divide the plot equally between his two sons. Mr Jain divided the plot into two parts by joining one pair of the opposite vertices> Do you think he has divided it correctly?

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