8.3A Similar Figures

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 concept of proportionality in similar figures?

Back

Proportionality in similar figures means that the ratios of the lengths of corresponding sides are equal. If two figures are similar, then the ratio of any two corresponding lengths is the same.

Front

How do you set up a proportion to find a missing length in similar figures?

Back

To set up a proportion, you can use the formula: (length of side in figure 1) / (length of corresponding side in figure 2) = (length of side in figure 1') / (length of corresponding side in figure 2').

Front

What is the formula for finding the height of an object using shadows?

Back

The formula is: (height of object 1) / (length of shadow 1) = (height of object 2) / (length of shadow 2).

Front

What does the variable 'x' typically represent in proportions?

Back

In proportions, 'x' typically represents the unknown length or value that needs to be solved.

Front

How can you determine if two triangles are similar?

Back

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

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 find 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.