Midsegment and Angle Bisector Theorems

The sides of a triangle are 𝟖, 𝟏𝟐, and 𝟏𝟓. An angle bisector meets the side of length 𝟏𝟓. Find the lengths 𝒙 and 𝒚.

• x=5
  y=10
• x=7
  y=8
• x=10
  y=5
• x=6
  y=9

If DE is the midsegment of triangle ABC, what is the value of x?

• x=-3
• x=3
• x=5
• x=-1

What is the length of DC

• 4
• 1
• 2
• 3

A line is perpendicular to    y = 2x - 7.
What is the slope of this line? 

• -2
• 1/2
• -1/2
• 2

Find the measurements of ∠SQP and ∠PQR

• m∠SQP=29, m∠PQR=58
• m∠SQP=29, m∠PQR=29
• m∠SQP=58, m∠PQR=58
• m∠SQP=58, m∠PQR=29

Find the value of x

• x=67
• x=43
• x=55
• x=12

Is DE 1/2 the length of BC?

• Yes
• No

Find the length of RT

• 9
• 4.5
• 18
• 36

Name the segment parallel to HJ

• MN
• NP
• MP
• HI

A line, segment, or ray that passes through the midpoint of a side that is creates a 90 degree angle with that side.

• Perpendicular bisector
• Angle bisector
• Median
• Altitude