Do Now: Similar Figures

Front

What does congruent mean?

Back

same shape and same size

Front

If two figures are SIMILAR, then their CORRESPONDING SIDES are ___?____

Back

Proportional

Front

Solve for x: If triangle ABC is similar to triangle DEF, and the sides of triangle ABC are 4, 6, and 8, what is the length of the corresponding side in triangle DEF if the ratio is 3:2?

Back

6

Front

Are the following similar? Triangle 1: sides 3, 4, 5; Triangle 2: sides 6, 8, 10. Why or why not?

Back

Yes, the ratios of the corresponding sides are equal.

Front

The two right triangles below are similar. What is x, the missing side length in triangle DEF if triangle ABC has sides 6, 8, and 10?

Back

9.75

Front

What is the definition of similar figures?

Back

Figures that have the same shape but not necessarily the same size.

Front

What is the relationship between the angles of similar figures?

Back

The corresponding angles are equal.

Front

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

Back

The ratio of their areas is the square of the ratio of their corresponding sides.

Front

What does it mean for two sides to be proportional?

Back

The lengths of the sides have a constant ratio.

Front

If triangle XYZ is similar to triangle PQR, and the length of side XY is 5 and side PQ is 10, what is the ratio of their corresponding sides?

Back

1:2