Similar Triangles

Front

What is the definition of similar triangles?

Back

Similar triangles are 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 AA similarity criterion stand for?

Back

AA stands for Angle-Angle similarity criterion, which states that if two angles of one triangle are equal to two angles of another triangle, the triangles are similar.

Front

What does SSS similarity criterion stand for?

Back

SSS stands for Side-Side-Side similarity criterion, which states that if the corresponding sides of two triangles are in proportion, the triangles are similar.

Front

What does SAS similarity criterion stand for?

Back

SAS stands for Side-Angle-Side similarity criterion, which states that if two sides of one triangle are in proportion to two sides of another triangle and the included angles are equal, the triangles are similar.

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 triangle ABC is similar to triangle DEF, what can be said about the ratios of their corresponding sides?

Back

The ratios of the lengths of corresponding sides of similar triangles are equal.

Front

What is the relationship between the areas of two similar triangles?

Back

The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides.

Front

Given triangle XYZ with sides 5 cm, 12 cm, and 13 cm, what is the scale factor if a similar triangle has a side measuring 10 cm?

Back

The scale factor is 2, since 10 cm is twice the length of the corresponding side in triangle XYZ.

Front

What is the significance of the term 'proportional' in the context of similar triangles?

Back

Proportional means that the lengths of corresponding sides of similar triangles maintain a constant ratio.

Front

Which statement is NOT true about similar figures? A) Similar figures always have the same shape. B) Similar figures always have the same size. C) Similar figures always have corresponding angles that are equal. D) Similar figures always have corresponding sides that are proportional.

Back

B) Similar figures always have the same size.