Congruence and Similarity

Consider the figures shown.

Loading Graph...

a

Which term best describes the relationship between the two triangles ?

Congruent

A

Similar

B

Neither

C

b

What single transformation can take triangle $ABC$`A``B``C` to triangle $A'B'C'$`A`′`B`′`C`′?

Reflection

A

Rotation

B

Translation

C

Dilation

D

c

Identify the transformation from triangle $ABC$`A``B``C` to triangle $A'B'C'$`A`′`B`′`C`′.

A translation $2$2 units left and $3$3 units down.

A

A translation $3$3 units left and $2$2 units down.

B

A translation $2$2 units right and $3$3 units up.

C

A translation $3$3 units right and $2$2 units up.

D

Easy

Approx a minute

Consider the figures shown.

Consider the quadrilateral with vertices at A(3, -1), B(1, -8), C(5, -8) and D(7, -1), and the quadrilateral with vertices at A'(-3, -1), B'(-1, -8), C'(-5, -8) and D'(-7, -1).

Consider the triangle with vertices at $\text{A(-4, -1), B(1, 3) and C(2, -3)}$A(-4, -1), B(1, 3) and C(2, -3), and the triangle with vertices at $\text{A'(0, -3), B'(5, 1) and C'(6, -5)}$A'(0, -3), B'(5, 1) and C'(6, -5).

Sign up to access Practice Questions

Get full access to our content with a Mathspace account

Describe and compare the concepts of similarity and congruence