Geo Prop Theorems

Front

What is the definition of similar figures?

Back

Similar figures are shapes that have the same shape but may differ in size. Their corresponding angles are equal, and their corresponding sides are proportional.

Front

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

Back

The corresponding sides of similar triangles are proportional.

Front

Solve for x: 2x + 4 = 20.

Back

x = 8.

Front

What is the value of the missing segment in a triangle with sides 10, 6, and x, if the triangle is similar to another triangle with sides 5, 3, and y?

Back

x = 4.

Front

If the ratio of the sides of two similar triangles is 3:5, what is the ratio of their areas?

Back

The ratio of their areas is 9:25.

Front

What is the definition of proportional segments in geometry?

Back

Proportional segments are segments that maintain a constant ratio to each other.

Front

Find the missing length indicated in a right triangle where one leg is 30 and the hypotenuse is 50.

Back

The missing length is 40.

Front

What is the relationship between the angles of similar figures?

Back

The corresponding angles of similar figures are equal.

Front

Solve for x: 3x - 5 = 16.

Back

x = 7.

Front

What is the definition of congruent figures?

Back

Congruent figures are shapes that are identical in shape and size, meaning all corresponding sides and angles are equal.