Similar Triangles

Front

What is the SAS similarity postulate?

Back

The SAS (Side-Angle-Side) similarity postulate 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 is the AA similarity theorem?

Back

The AA (Angle-Angle) similarity theorem states that if two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.

Front

What does it mean for two shapes to be similar?

Back

Two shapes are similar if they have the same shape but different sizes, meaning their corresponding angles are equal and their corresponding sides are proportional.

Front

How can you determine if two triangles are similar using the SSS similarity postulate?

Back

The SSS (Side-Side-Side) similarity postulate states that if the lengths of the corresponding sides of two triangles are proportional, then the triangles are similar.

Front

If triangle ABC is similar to triangle DEF, what can be said about their corresponding angles?

Back

The corresponding angles of similar triangles are equal.

Front

If the sides of triangle ABC are 3, 4, and 5, and the sides of triangle DEF are 6, 8, and 10, are the triangles similar?

Back

Yes, triangle ABC is similar to triangle DEF because the sides are in proportion (3:6, 4:8, 5:10).

Front

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

Back

The heights of two similar triangles are proportional to the lengths of their corresponding sides.

Front

If the length of one side of triangle ABC is 5 cm and the corresponding side of triangle DEF is 10 cm, what is the scale factor of the similarity?

Back

The scale factor is 2:1.

Front

How do you find the height of an object using similar triangles?

Back

You can use the properties of similar triangles to set up a proportion between the height of the object and the lengths of the corresponding sides.

Front

What is the Side Splitter Theorem?

Back

The Side Splitter Theorem states that if a line is drawn parallel to one side of a triangle, it divides the other two sides proportionally.