STAAR REVIEW Dilations ordering etc

Front

What is a scale factor in dilations?

Back

A scale factor is a number that scales, or multiplies, the dimensions of a figure in a dilation. It determines how much larger or smaller the image will be compared to the original figure.

Front

What happens to the size of a figure when the scale factor is greater than 1?

Back

The figure undergoes an enlargement, meaning it becomes larger than the original figure.

Front

What happens to the size of a figure when the scale factor is less than 1?

Back

The figure undergoes a reduction, meaning it becomes smaller than the original figure.

Front

If triangle PQR is a dilation of triangle JKL with a scale factor of 2, what can be said about their sizes?

Back

Triangle PQR is twice the size of triangle JKL.

Front

What are similar figures?

Back

Similar figures are shapes that have the same shape but different sizes. Their corresponding angles are equal, and their corresponding sides are proportional.

Front

How do you determine if two figures are similar?

Back

Two figures are similar if their corresponding angles are equal and the lengths of their corresponding sides are in proportion.

Front

What is the relationship between the scale factor and the area of similar figures?

Back

If the scale factor is k, the area of the image is k² times the area of the original figure.

Front

What is the formula to find the new dimensions of a figure after dilation?

Back

New dimension = Original dimension × Scale factor.

Front

If a triangle has sides of lengths 3, 4, and 5, and is dilated by a scale factor of 1/2, what are the lengths of the sides of the new triangle?

Back

The new triangle will have sides of lengths 1.5, 2, and 2.5.

Front

What is the difference between enlargement and reduction in dilations?

Back

Enlargement increases the size of the figure (scale factor > 1), while reduction decreases the size of the figure (scale factor < 1).