Applying Ratios to Triangles

Find the value of x.

• 10

• 35

• 8

• None of these

If a line divides two sides of a triangle proportionally, then it is .......

• congruent to the third side.

• parallel to the third side

• perpendicular to the third side.

• twice the length of the third side

• 8

• 5

• 6

• 4

Find the length of AB

• 9

• 12

• 13

• 15

Solve for x

• 18

• 12

• 6.75

• 85.3

If a triangle within a triangle has base lines that are parallel, the two triangles MUST be similar because their three angles are all congruent. Angles D and B as well as E and C are congruent because they are corresponding angles on parallel lines. Angle A is a reflexive angle.

Since the triangles are similar that means the corresponding sides must be:

• 6

• 8

• 7.2

• 6.8

Find the value of z.

• 21

• 40

• 34

• 52

Select ALL of the following ratios that are true.

Select ALL of the following ratios that are true.