Similar Figures 2

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

If two triangles are similar, how do you find a missing side length?

Back

To find a missing side length in similar triangles, set up a proportion using the lengths of the corresponding sides and solve for the unknown.

Front

What is the relationship between the angles of similar figures?

Back

The corresponding angles of similar figures are equal.

Front

If triangle ABC is similar to triangle DEF, and AB = 4 cm, DE = 8 cm, what is the scale factor?

Back

The scale factor is 2:1, meaning triangle DEF is twice the size of triangle ABC.

Front

How do you determine if two figures are similar?

Back

Two figures are similar if their corresponding angles are equal and the lengths of their corresponding sides are proportional.

Front

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

Back

The area of similar figures is proportional to the square of the scale factor. If the scale factor is k, then the ratio of the areas is k².

Front

If a triangle has sides of 5 cm, 12 cm, and 13 cm, and a similar triangle has a side of 10 cm, what is the length of the other sides?

Back

The other sides will be 24 cm and 26 cm, using the scale factor of 2.

Front

What does it mean for two figures to be congruent?

Back

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

Front

If two similar rectangles have a scale factor of 3:2, how do their areas compare?

Back

The area of the larger rectangle is 9/4 times the area of the smaller rectangle, since the area ratio is the square of the scale factor (3²:2²).