Ontario 09 Applied (MFM1P) Angles and lengths in quadrilaterals revision

## 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

$GH$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
Approx 4 minutes

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

Calculate $x$x giving reasons.

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

### Outcomes

#### 9P.MG3.02

Determine, through investigation using a variety of tools and describe the properties and relationships of the angles formed by parallel lines cut by a transversal, and apply the results to problems involving parallel lines