12/12 (457) Triangle Proportionality & Similarity

Front

What does the Triangle Angle Bisector Theorem state?

Back

The Triangle Angle Bisector Theorem states that the angle bisector of a triangle divides the opposite side into segments that are proportional to the lengths of the other two sides.

Front

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

Back

The corresponding angles of similar triangles are equal.

Front

If two figures are similar, the corresponding sides are ______________.

Back

proportional.

Front

What is the scale factor in a dilation?

Back

The scale factor is the ratio of the lengths of corresponding sides of the original figure to the lengths of the corresponding sides of the image.

Front

What is the relationship between the perimeters of similar triangles?

Back

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

Front

How do you find the missing length in similar triangles?

Back

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

Front

What is the sum of the angles in any triangle?

Back

The sum of the angles in any triangle is always 180 degrees.

Front

If a triangle has angles measuring 53°, 78°, and 49°, what are the angles of a similar triangle created by dilation?

Back

The angles remain 53°, 78°, and 49°; they do not change with dilation.

Front

What is the formula for the perimeter of a triangle?

Back

The perimeter of a triangle is the sum of the lengths of its sides.

Front

What does it mean for two triangles to be congruent?

Back

Two triangles are congruent if they have the same size and shape, meaning all corresponding sides and angles are equal.