Homework 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 corresponding sides of two similar figures. It indicates how much one figure is enlarged or reduced compared to the other.

Front

If ΔFGH ∼ ΔJKH, what can be said about their corresponding angles?

Back

If ΔFGH is similar to ΔJKH, then the corresponding angles are equal: ∠F = ∠J, ∠G = ∠K, ∠H = ∠H.

Front

How do you write the proportion of corresponding sides for similar triangles?

Back

Front

What is the relationship between the perimeters of similar figures?

Back

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

Front

If the scale factor of Figure A to Figure B is 3:1, how does this affect their areas?

Back

Front

How do you find the value of x in similar triangles?

Back

To find the value of x in similar triangles, set up a proportion using the lengths of corresponding sides and solve for x.

Front

If ΔDGH ∼ ΔDEF and the length of DE is 10, what is the length of DG if the scale factor is 2:5?

Back

Front

What is the formula for finding the perimeter of similar figures?

Back

The perimeter of similar figures can be found using the formula: Perimeter of Figure A = Scale Factor × Perimeter of Figure B.

Front

If the corresponding sides of two similar triangles are 4 cm and 10 cm, what is the scale factor?

Back