C6 Review Similarity

Front

If two figures are similar, their angles are ______.

Back

congruent

Front

What is the scale factor of similar triangles if \( \Delta ABD \sim \Delta A'B'D' \) and the corresponding sides are in the ratio \( \frac{1}{3} \)?

Back

\( \frac{1}{3} \)

Front

Dilate the figure by a scale factor of 3 with the origin as the center of dilation. What are the coordinates of the image for point A(3,3)?

Back

A'(9,9)

Front

If the perimeter of rectangle QRST is 54 cm and the perimeter of rectangle WXYZ is 36 cm, what is the scale factor of WXYZ to QRST?

Back

\( \frac{2}{3} \)

Front

When the scale factor of a dilation is less than one, the dilation is a reduction. True or False?

Back

True

Front

Define similarity in geometry.

Back

Two figures are similar if they have the same shape but not necessarily the same size, meaning their corresponding angles are equal and their corresponding sides are proportional.

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, some quantity. In geometry, it is the ratio of the lengths of corresponding sides of similar figures.

Front

What happens to the dimensions of a figure when it is dilated by a scale factor greater than 1?

Back

The dimensions of the figure increase, resulting in an enlargement.

Front

What happens to the dimensions of a figure when it is dilated by a scale factor less than 1?

Back

The dimensions of the figure decrease, resulting in a reduction.

Front

If two triangles are similar, what can be said about their corresponding sides?

Back

The lengths of their corresponding sides are in proportion.