Challenge Practice A B C

LESSON 4-1
Challenge Practice
In Q1 and Q2, point M is between L and N on LN . Use the given information to write an
equation in terms of x. Solve the equation (disregard any answers that do not make sense in
the context of the problem). Then find LM and MN.
1. LM = x2 – 20x
2. LM = x2 – 6x
MN = x2 – 7x
MN = x2 + 9x
LN = 45
LN = 50
3. In the diagram below,
. Use the Segment Addition Postulate to show that
.
4. ̅̅̅̅ and ̅̅̅̅ are shown below. Use your compass and straightedge to construct ̅̅̅̅ whose
length is
. Do not use a ruler to measure each segments length!
A
B
C
D
5. Point M is the midpoint of ̅̅̅̅ . Find the value of x and AB if AM = 12x2 + 9x and MB =
8x + 6.