Congruence and Similarity

Ontario 10 Academic (MPM2D)

Transformations and congruence

Consider the figures shown.

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a

Are the two quadrilaterals similar, congruent or neither?

Congruent

A

Similar

B

Neither

C

Congruent

A

Similar

B

Neither

C

b

What single transformation could have been used from quadrilateral $ABCD$`A``B``C``D` to quadrilateral $A'B'C'D'$`A`′`B`′`C`′`D`′?

Dilation

A

Reflection

B

Rotation

C

Translation

D

Dilation

A

Reflection

B

Rotation

C

Translation

D

c

Identify the transformation from quadrilateral $ABCD$`A``B``C``D` to quadrilateral $A'B'C'D'$`A`′`B`′`C`′`D`′.

A reflection across the line $y=5$`y`=5.

A

A reflection across the $y$`y`-axis.

B

A reflection across the $x$`x`-axis.

C

A reflection across the line $y=5$`y`=5.

A

A reflection across the $y$`y`-axis.

B

A reflection across the $x$`x`-axis.

C

Easy

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Describe and compare the concepts of similarity and congruence