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Geometry
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India
Class VIII

Angles and Lengths in Quadrilaterals Revision

Lesson
Practice

Interactive practice questions

Consider the adjacent parallelogram $EFGH$EFGH.

a

Which pairs of sides are parallel?

$GH$GH and $GF$GF.

A

$EH$EH and $FG$FG.

B

$EF$EF and $HG$HG.

C

$EF$EF and $EH$EH.

D
b

If $\angle HGF$∠HGF =$83$83, then find $\angle FEH$∠FEH. Give reasons.

c

If $FG$FG=$6$6, find the size of $EH$EH. Give reasons.

d

If $EI$EI = $12$12, find the size of $EG$EG. Give reasons.

Easy
3min

Consider the figure shown, given that $ABCD$ABCD is a trapezium.

Easy
3min

Calculate $x$x giving reasons.

Easy
5min

Find the value of all pronumerals in the figure, giving reasons.

Easy
1min
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Outcomes

8.G.US.1

Properties of quadrilaterals – Sum of angles of a quadrilateral is equal to 360 degree (By verification)

8.G.US.2

Properties of parallelogram (By verification) (a) Opposite sides of a parallelogram are equal (b) Opposite angles of a parallelogram are equal, (c) Diagonals of a parallelogram bisect each other. [Why (iv), (v) and (vi) follow from (ii)] (d) Diagonals of a rectangle are equal and bisect each other. (e) Diagonals of a rectangle are equal and bisect each other, (f) Diagonals of a rhombus bisect each other at right angles, (g) Diagonals of a square are equal and bisect each other at right angles.

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