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Geometry
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India
Class IX

Proofs with Quadrilaterals

Lesson
Practice

Interactive practice questions

$ABCD$ABCD is a parallelogram with $AE=FC$AE=FC. Prove that $DE$DE=$FB$FB.

In $\triangle AED$△AED and $\triangle CFB$△CFB we have :

Easy
5min

$ABCD$ABCD is a parallelogram, with $AY$AY=$XC$XC.

Prove that the two triangles $\triangle AYB$△AYB and $\triangle CXD$△CXD are congruent.

Easy
4min

In the diagram, $ABCD$ABCD is a square, and $AE=CF$AE=CF. Prove that $AF=EC$AF=EC.

Easy
5min
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Outcomes

9.G.Q.1

The diagonal divides a parallelogram into two congruent triangles. In a parallelogram opposite sides are equal and conversely. In a parallelogram opposite angles are equal and conversely. A quadrilateral is a parallelogram if a pair of its opposite sides is parallel and equal. In a parallelogram, the diagonals bisect each other and conversely.

9.G.Q.2

In a triangle, the line segment joining the mid points of any two sides is parallel to the third side and (motivate) its converse.

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