Similar vs Congruent Figures

If figure A is reflected over the x-axis and translated 2 units down and 4 units right, it is SIMILAR OR CONGRUENT to figure A''?

• Congruent

• Similar

If figure C is reflected over the line y=x and dilated by a sale factor of 2, it is SIMILAR OR CONGRUENT to figure C''?

• Congruent

• Similar

If figure E is rotated 90^o CW and dilated by a sale factor of 1, it is SIMILAR OR CONGRUENT to figure E''?

• Congruent

• Similar

If figure G is rotated 90^o CCW and dilated by a sale factor of .5, it is SIMILAR OR CONGRUENT to figure G''?

• Congruent

• Similar

Two shapes that are similar are also congruent

• True

• False

Would a dilation result in a figure that is similar? Why or Why not?

• Yes, because a dilation scales a figure by a factor of k, making a proportional shape, just a different size.

• No, because a dilation scales a figure by a factor of k, making it a different size which means they cannot be similar.

• No because dilations do not change the size or shape of the figure, which means they are congruent.

• Yes, because dilations do not change the size or shape of the figure, which means they are similar.

What is true for similar triangles?

• Same shape and same size always

• Corresponding sides are always congruent

• Corresponding angles are always congruent

• One must be smaller than the other always

Are the triangles similar?

• Yes

• No

If two figures are similar their angles are______.

• proportional

• congruent

• supplementary

• complementary

If two figures are similar, the corresponding sides are ______________.

• equal

• congruent

• proportional

• none of these