Question

8. PQRS is a paralleogram. Sh
triangles
9. Prove that the diagonals of a square divide the square into four congurent triangles.
ORGP is a rectangle. Diagonals AC and BD intersect at O. Prove that AABC and ABAD are congruent
ore in the ratio 2 : 3 and its perimeter = 80 cm. Find the measure of is
AT​

Answer 1

$\huge\mathcal\pink{ANSWER:-}$

9)

Here, ABCD is a rectangle.

AC is diagonal of a rectangle.

In △ABC and △CAD

⇒  AB=DC             [ Opposite sides of rectangle ]

⇒  BC=AD             [ Opposite sides of rectangle ]

⇒  AC=CA            [ Common side ]

∴  △ABC≅△CAD       [ By SSS congruence property ]

Answer 2

Answer:

9)

Here, ABCD is a rectangle.

AC is diagonal of a rectangle.

In △ABC and △CAD

⇒ AB=DC [ Opposite sides of rectangle ]

⇒ BC=AD [ Opposite sides of rectangle ]

⇒ AC=CA [ Common side ]

∴ △ABC≅△CAD [ By SSS congruence property ]