Unit 6 HW 2: 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 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

If two triangles are similar, what can be said about their corresponding angles?

Back

If two triangles are similar, their corresponding angles are equal.

Front

If the scale factor of Figure A to Figure B is 3:5, what does this mean?

Back

This means that for every 3 units in Figure A, there are 5 corresponding units in Figure B.

Front

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

Back

To find the length of a side in a similar triangle, use the proportion of the corresponding sides and the known lengths.

Front

Back

The ratio of their corresponding sides is 4:8, which simplifies to 1:2.

Front

What is the relationship between the perimeters of similar figures?

Back

The ratio of the perimeters of similar figures is equal to the ratio of their corresponding side lengths.

Front

If the perimeter of Figure A is 50 and the scale factor to Figure B is 2:3, what is the perimeter of Figure B?

Back

The perimeter of Figure B is 50 * (3/2) = 75.

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) similarity.

Front

Back

The scale factor is 6:9, which simplifies to 2:3.