Similarity

Front

What does SSS stand for in triangle similarity?

Back

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

Front

What does SAS stand for in triangle similarity?

Back

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

Front

What does AA stand for in triangle similarity?

Back

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

Front

What is the definition of similar figures?

Back

Similar figures are shapes that have the same shape but may differ in size. Their corresponding angles are equal, and their corresponding sides are in proportion.

Front

How do you find the scale factor between two similar triangles?

Back

The scale factor is found by dividing the length of a side of one triangle by the length of the corresponding side of the other triangle.

Front

If triangle ABC is similar to triangle DEF, and the length of side AB is 6 cm and side DE is 3 cm, what is the scale factor from triangle ABC to triangle DEF?

Back

The scale factor is 2:1.

Front

What is the height of a tree if you can see its top in a mirror placed on the ground?

Back

The height of the tree can be determined using similar triangles formed by the observer, the mirror, and the tree.

Front

If two triangles have a scale factor of 2, what does that mean?

Back

It means that every side of the second triangle is twice as long as the corresponding side of the first triangle.

Front

What is the relationship between the angles of similar triangles?

Back

The corresponding angles of similar triangles are equal.

Front

If the sides of triangle XYZ are 4 cm, 6 cm, and 8 cm, and triangle PQR is similar to triangle XYZ with a scale factor of 3, what are the lengths of the sides of triangle PQR?

Back

The sides of triangle PQR are 12 cm, 18 cm, and 24 cm.