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The triangle formed by the diagonals of a rectangle and its sides are similar by which test?

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in Mathematics – Class 8 by (91.0k points)
The triangle formed by the diagonals of a rectangle and its sides are similar by which test?

(a) SAS

(b) SSS

(c) AA

(d) Not similar

The question was posed to me in a national level competition.

The origin of the question is Special Cases in Polygons in division Quadrilaterals of Mathematics – Class 8

1 Answer

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Best answer
Correct option is (a) SAS

For explanation: The triangle formed by a side of a rectangle and the diagonals have,

(i) Side 1 (diagonal)

(ii) Angle (vertically opposite angle)

(iii) Side 2 (diagonal)

Hence the triangles are similar by SAS test of similarity.

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