Geometry

Consider the adjacent parallelogram $EFGH$`E``F``G``H`.

a

Which pairs of sides are parallel?

$GH$`G``H` and $GF$`G``F`.

A

$EH$`E``H` and $FG$`F``G`.

B

$EF$`E``F` and $HG$`H``G`.

C

$EF$`E``F` and $EH$`E``H`.

D

$GH$`G``H` and $GF$`G``F`.

A

$EH$`E``H` and $FG$`F``G`.

B

$EF$`E``F` and $HG$`H``G`.

C

$EF$`E``F` and $EH$`E``H`.

D

b

If $\angle HGF$∠`H``G``F` =$83$83, then find $\angle FEH$∠`F``E``H`. Give reasons.

c

If $FG$`F``G`=$6$6, find the size of $EH$`E``H`. Give reasons.

d

If $EI$`E``I` = $12$12, find the size of $EG$`E``G`. Give reasons.

Easy

Approx 4 minutes

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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