CFA: Similar Figures & Indirect Measure

Front

What are similar figures?

Back

Similar figures are shapes that have the same shape but may differ in size. Their corresponding angles are equal, and the lengths of their corresponding sides are proportional.

Front

What is the Scale Factor in similar figures?

Back

The scale factor is the ratio of the lengths of two corresponding sides of similar figures. It indicates how much one figure has been enlarged or reduced compared to the other.

Front

How do you determine if two triangles are similar?

Back

Two triangles are similar if they satisfy one of the following criteria: AA (Angle-Angle), SSS (Side-Side-Side), or SAS (Side-Angle-Side).

Front

What is the AA criterion for triangle similarity?

Back

The AA criterion states that if two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.

Front

What is the SSS criterion for triangle similarity?

Back

The SSS criterion states that if the lengths of the corresponding sides of two triangles are proportional, then the triangles are similar.

Front

What is the SAS criterion for triangle similarity?

Back

The SAS criterion states that if two sides of one triangle are proportional to two sides of another triangle and the included angles are equal, then the triangles are similar.

Front

How do you use indirect measurement to find the height of an object?

Back

To find the height of an object using indirect measurement, you can set up a proportion based on the lengths of shadows cast by the object and a reference object of known height.

Front

If a girl 5 feet 6 inches tall casts a shadow of 4 feet, and a tower casts a shadow of 90 feet, how do you find the height of the tower?

Back

Set up the proportion: (Height of girl / Length of girl's shadow) = (Height of tower / Length of tower's shadow). Solve for the height of the tower.

Front

What is the formula for finding the height of a triangle using similar triangles?

Back

Height = (Height of reference triangle / Length of reference triangle) * Length of target triangle's shadow.

Front

What does it mean for triangles to be congruent?

Back

Congruent triangles are triangles that are identical in shape and size, meaning all corresponding sides and angles are equal.