RNG Gr 12 _Similarity and Congruence Flashcard

Front

What is the definition of similar triangles?

Back

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

Front

What is the SAS similarity criterion for triangles?

Back

If two sides of one triangle are in proportion to two sides of another triangle and the included angles are equal, the triangles are similar.

Front

What does the AA criterion for similarity state?

Back

If two angles of one triangle are equal to two angles of another triangle, the triangles are similar.

Front

What is the SSS similarity criterion?

Back

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

Front

What is the RHS criterion for triangle congruence?

Back

The RHS criterion states that if the hypotenuse and one side of a right triangle are equal to the hypotenuse and one side of another right triangle, the triangles are congruent.

Front

How do you find the area of similar triangles?

Back

The area of similar triangles is proportional to the square of the ratio of their corresponding sides.

Front

If the radius of a sphere is halved, how does the surface area change?

Back

The surface area of a sphere is proportional to the square of its radius. If the radius is halved, the surface area is reduced to one-fourth.

Front

What is the formula for the surface area of a sphere?

Back

The surface area A of a sphere is given by the formula A = 4πr², where r is the radius.

Front

If triangle ADB has an area of 5 cm² and is similar to triangle ACB, how do you find the area of triangle ACB?

Back

Use the ratio of the squares of the corresponding sides to find the area of triangle ACB.

Front

What is the relationship between the sides of similar triangles?

Back

The lengths of corresponding sides of similar triangles are in proportion.