Similar Triangles with Midsegment

Find the missing length.

• 35

• 28

• 42

• 13

Name a segment parallel to segment AC

• segment DE

• segment DB

• segment AC

• segment BC

Triangle Midsegment Theorem

• A midsegment has triangular symmetry in text parameters that could be discovered by varying the congruent letter patterns.

• A midsegment of a triangle is parallel to one side of the triangle, and its length is one half the length of that side.

• A midsegment is perpendicular to the third side of a triangle when the line divides the angles into two congruent angles.

What is the midsegment of\Delta FGH?

• x = 10, y = 8

• x = 7.5, y = 10

• x = 10, y = 7.5

• x = 8, y = 10

Solve for x.

• 10

• 5

• 7

• 4

If ED is a midsegment,

What is the length of AB?

• 4

• 8

• 16

• 24

If X+4 is the measure of a midsegment.

What is the value of x?

• 10

• No Solution

• 5

• 2

When figures are similar, their corresponding sides are__________________.

• congruent

• proportional

• invisible