1. In the given triangle, find the
value of x, and the m<ABC.
2. In the figure shown below, segment BD bisects
segment AC, and segment AB is congruent to
segment BC.
Prove that triangle ADB and triangle CDB
are right triangles. Use a two-column
proof.
3.
4.
5. The area of the triangle is
equal to the area of the
parallelogram.
What can you
conclude about the
area of the two
shapes?
Area of triangle Area = ½ (B x H)
Area of
parallelogram
Area = B x H
6. The segment joining the midpoints of two
sides of a triangle is parallel to the third
side and is half as long as the third side.
Midline
Theorem
8. B is the midpoint of segment AC, D is the
midpoint of segment CE, and AE = 17.
Find BD.
Example 2:
9. a. If AC = 10 and AB = 16, find
AD, BE, and DE.
b. If AC = x - 10 and DE = 6, find
the value of x.
ABC is an
isosceles
triangle
with base
AC and
midline DE.
11. x = ___ AB = ___
y = ___ AC = ____
z = ___ CB = ____
m ABC = _____ m DEB = _________
m ADE = _______m EDC = _________
m ACB = _______
D is the midpoint of segment AC, E is the
midpoint of segment AB.
14. 1. ABC is an isosceles triangle with
base and midline
If AC = 10 and AB = 16, find:
AD = _______ BE = ______
DE = _______
2. If AC = x – 10 and DE = 6, find the
value of x.
E
D
A
B
C
