Similar Figures and ratios Dec 3 math talk

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 in proportion.

Front

If ΔXYZ ~ ΔENW, which segment corresponds to segment XZ?

Back

Segment EW corresponds to segment XZ.

Front

What is the relationship between the sides of similar figures?

Back

The ratios of the lengths of corresponding sides of similar figures are equal.

Front

Write a proportion to solve for x if the sides of two similar triangles are given as 25 and x, and 10 and 6 respectively.

Back

Front

What does it mean for two triangles to be similar?

Back

Two triangles are similar if their corresponding angles are equal and the lengths of their corresponding sides are proportional.

Front

If ΔXYZ ~ ΔENW, which angle corresponds to angle N?

Back

Angle Y corresponds to angle N.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How do you find the length of a side in similar triangles?

Back

You can find the length of a side in similar triangles by setting up a proportion using the lengths of corresponding sides.

Front

What is the formula for finding the scale factor between two similar figures?

Back

The scale factor is found by dividing the length of a side of one figure by the length of the corresponding side of the other figure.

Front

If the scale factor of two similar triangles is 3:2, what does this mean?

Back

This means that for every 3 units of length in the first triangle, there are 2 units of length in the second triangle.