Similarity Flashcard

Front

What does it mean for two triangles to be similar?

Back

Two triangles are similar if their corresponding angles are equal and their corresponding sides are in proportion.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is the SAS similarity criterion for triangles?

Back

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

Tags

CCSS.HSG.SRT.B.5

Front

How can you determine if two triangles are similar using angle measures?

Back

If two angles of one triangle are equal to two angles of another triangle, then the triangles are similar (AA criterion).

Tags

CCSS.HSG.SRT.A.2

Front

What is the relationship between the heights of similar triangles and their corresponding bases?

Back

The heights of similar triangles are proportional to their corresponding bases.

Tags

CCSS.HSG.SRT.A.2

Front

If triangle A is similar to triangle B, and the length of a side in triangle A is 5 cm while the corresponding side in triangle B is 10 cm, what is the ratio of their sides?

Back

The ratio of their sides is 1:2.

Tags

CCSS.HSG.SRT.A.2

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 the objects to find the unknown height.

Tags

CCSS.HSG.SRT.A.2

Front

What is the significance of corresponding sides in similar triangles?

Back

Corresponding sides of similar triangles are in proportion, meaning the ratios of their lengths are equal.

Tags

CCSS.HSG.SRT.A.2

Front

What is the relationship between the angles of similar triangles?

Back

The corresponding angles of similar triangles are equal.

Tags

CCSS.HSG.SRT.A.2

Front

If a triangle has sides of lengths 3, 4, and 5, what type of triangle is it?

Back

It is a right triangle, as it satisfies the Pythagorean theorem.

Tags

CCSS.4.G.A.2

Front

What is the formula for finding the height of a building using similar triangles?

Back

Height of the building = (Height of the pole / Length of the pole's shadow) * Length of the building's shadow.

Tags

CCSS.HSG.SRT.B.5