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Congruent Figures

If ∆EFG and ∆...

Question

If $∆ E F G$ and $∆ X Y Z$ are congruent, then __________ $=$ side $X Y$ .

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Solution

Congruent means that one figure is identical to another in shape and size.
Examples
A pair of earrings, two same mobile phones, Sheets of the same letter pad.
In congruent triangles :
One triangle is identical to another in shape and size.
All the sides and angles of a triangle are equal to the corresponding sides and angles of its congruent triangle.

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(i) Two equilateral triangles are similar.

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Question 102

State whether the statement is True or False.

If two angles and a side of a triangle are equal to two angles and a side of another triangle, then the triangles are congruent.

Q. Which of the following statements are true and which of them are false?

(i) All squares are congruent.
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(iii) If two figures have equal areas, they are congruent.
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(vii) If three angles of a triangle are equal to the corresponding angles of another triangle then the triangles are congruent.
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Q. If x + y + z = 9 and xy + yz + zx = 23, then the value of (x³ + y³ + z³ − 3xyz) = ?
(a) 108
(b) 207
(c) 669
(d) 729

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