SImilarity

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 AA criterion for triangle similarity?

Back

The AA (Angle-Angle) 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 does SSS~ stand for in triangle similarity?

Back

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

Tags

CCSS.HSG.SRT.B.5

Front

What does SAS~ stand for in triangle similarity?

Back

SAS~ stands for Side-Angle-Side similarity, which means 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

What is the definition of similar polygons?

Back

Similar polygons are polygons that have the same shape but may differ in size; their corresponding angles are equal and their corresponding sides are in proportion.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

If two objects are similar, what can be said about their corresponding angles?

Back

The corresponding angles of similar objects are congruent (equal in measure).

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

If two objects are similar, what can be said about their corresponding sides?

Back

The corresponding sides of similar objects are proportional (the ratios of their lengths are equal).

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

Find the missing side if two similar triangles have sides of lengths 4 and 6, and the corresponding side in the second triangle is x. If the first triangle's corresponding side is 8, what is x?

Back

x = 12 (using the proportion 4/8 = 6/x).

Tags

CCSS.HSG.SRT.A.2

Front

In similar triangles, if one triangle has sides of lengths 3, 4, and 5, and the corresponding sides of the other triangle are 6, 8, and x, what is x?

Back

x = 10 (the sides are in proportion: 3/6 = 4/8 = 5/x).

Tags

CCSS.HSG.SRT.A.2

Front

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

Back

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