Topic 64 Proportionality Theorems

Front

If two figures are similar, the corresponding sides are ______________.

Back

proportional

Front

Find the value of x if 2/3 = x/12.

Back

x = 8

Front

Find the missing length if the sides of two similar triangles are in the ratio 3:5 and one side of the smaller triangle is 9.

Back

The missing length is 15.

Front

The figure is an example of a(n) ... (angle bisector, perpendicular bisector, median, midsegment)

Back

angle bisector

Front

Find the value of x if 5/x = 15/9.

Back

x = 3.

Front

What is the definition of similar figures?

Back

Figures that have the same shape but may differ in size, with corresponding angles equal and corresponding sides proportional.

Front

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

Back

The corresponding angles are equal.

Front

What is the relationship between the sides of similar triangles?

Back

The ratios of the lengths of corresponding sides are equal.

Front

Find the value of x if 4/x = 8/12.

Back

x = 6.

Front

What is a median in a triangle?

Back

A line segment joining a vertex to the midpoint of the opposite side.