Similar triangles assessment

Front

What are similar triangles?

Back

Triangles that have the same shape but may differ in size. Their corresponding angles are equal, and their corresponding sides are proportional.

Front

What does it mean for triangles to be congruent?

Back

Triangles that are identical in shape and size, meaning all corresponding sides and angles are equal.

Front

What is the scale factor in similar triangles?

Back

The ratio of the lengths of corresponding sides of two similar triangles.

Front

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

Back

Their corresponding angles are congruent.

Front

If the scale factor from ΔABC to ΔDEF is 2, what does this imply?

Back

Each side of ΔDEF is twice the length of the corresponding side of ΔABC.

Front

How do you find the missing side length in similar triangles?

Back

Set up a proportion using the lengths of the corresponding sides and solve for the missing length.

Front

What is the relationship between the sides of similar triangles?

Back

The ratios of the lengths of corresponding sides are equal.

Front

If the sides of triangle A are 3, 4, and 5, and triangle B is similar to triangle A with a scale factor of 2, what are the side lengths of triangle B?

Back

The side lengths of triangle B are 6, 8, and 10.

Front

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

Back

If the scale factor is k, the ratio of the areas is k².

Front

If two triangles have a scale factor of 1/2, how does this affect their areas?

Back

The area of the smaller triangle is 1/4 the area of the larger triangle.