Brewer Similarity Review

Front

What is the definition of similar shapes?

Back

Similar shapes have the same shape but may differ in size. Their corresponding angles are equal, and their corresponding sides are in proportion.

Front

What is the formula for finding the perimeter of a rectangle?

Back

Perimeter = 2(length + width)

Front

How can you determine the height of an object using similar triangles?

Back

By setting up a proportion between the heights and the lengths of the shadows of the objects.

Front

What does SAS similarity mean?

Back

SAS (Side-Angle-Side) similarity means that two triangles are similar if two sides are in proportion and the included angle is equal.

Front

What does SSS similarity mean?

Back

SSS (Side-Side-Side) similarity means that two triangles are similar if all three corresponding sides are in proportion.

Front

What does AA similarity mean?

Back

AA (Angle-Angle) similarity means that two triangles are similar if two angles of one triangle are equal to two angles of another triangle.

Front

If a ramp has a slope of 1/10, what does this mean?

Back

It means that for every 10 units of horizontal distance (run), the ramp rises 1 unit (rise).

Front

How do you find the run of a ramp if you know the rise and slope?

Back

Run = Rise / Slope. For example, if the rise is 2 feet and the slope is 1/10, the run is 2 / (1/10) = 20 feet.

Front

What is the relationship between the lengths of corresponding sides of similar triangles?

Back

The lengths of corresponding sides of similar triangles are proportional.

Front

How do you set up a proportion to find an unknown length in similar triangles?

Back

Set up the proportion as (length of triangle 1)/(length of triangle 2) = (corresponding length of triangle 1)/(unknown length).