Triangle Similarity

Front

What is Triangle Similarity?

Back

Triangle similarity refers to the concept that two triangles are similar if their corresponding angles are equal and the lengths of their corresponding sides are proportional.

Tags

CCSS.HSG.SRT.A.2

Front

What is the Side-Angle-Side (SAS) similarity criterion?

Back

The SAS similarity criterion states that if one angle of a triangle is equal to one angle of another triangle and the sides including these angles are in proportion, then the triangles are similar.

Tags

CCSS.HSG.SRT.B.5

Front

What is the Angle-Angle (AA) similarity criterion?

Back

The AA similarity criterion states that if two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.

Tags

CCSS.HSG.SRT.B.5

Front

What is the definition of a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure but maintains its shape, defined by a center point and a scale factor.

Tags

CCSS.8.G.A.3

Front

Back

The lengths of the sides of the triangle will be reduced to one-third of their original lengths.

Tags

CCSS.8.G.A.3

Front

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

Back

You can set up a proportion using the heights and shadow lengths of two similar objects to find the unknown height.

Tags

CCSS.HSG.SRT.B.5

Front

What is the relationship between corresponding angles in similar triangles?

Back

In similar triangles, all corresponding angles are equal.

Tags

CCSS.HSG.SRT.A.2

Front

What is the relationship between corresponding sides in similar triangles?

Back

In similar triangles, the lengths of corresponding sides are in proportion.

Tags

CCSS.HSG.SRT.A.2

Front

If triangle ABC is similar to triangle DEF, and the length of side AB is 4 cm and side DE is 8 cm, what is the ratio of their corresponding sides?

Back

The ratio of their corresponding sides is 1:2.

Tags

CCSS.HSG.SRT.A.2

Front

What is the definition of proportionality in the context of similar triangles?

Back

Proportionality in similar triangles means that the ratios of the lengths of corresponding sides are equal.

Tags

CCSS.HSG.SRT.A.2