Midsegment and Proportionality Theorems

JL is parallel to MN.

• TRUE. Because MN split sides JK and LK proportionally.

• TRUE. Because MN is the midsegment of triangle JKL.

• FALSE. Because MN did not split sides JK and LK proportionally.

• FALSE. Because MN is not the midsegment of triangle JKL.

Calculate the length of AE.

• AE = 16 ft

• AE = 24 ft

• AE = 28 ft

• AE = 36 ft

Are the triangles similar?

• No, they are not similar.

• Yes, by AA~.

• Yes, by SAS~.

• Yes, by SSS~.

Are lines a, b, and c parallel?

• Yes, because lines d and e cut lines a, b, and c proportionally.

• Yes, because they look parallel.

• No, because lines d and e did not cut lines a, b, and c proportionally.

• No, they don't look like they are parallel.

QR is a midsegment of triangle WXY. What is the length of segment WY?

• 3

• 6

• 9

• 12

QR is a midsegment of triangle FGH. Solve for the value of x?

• 5.5

• 11

• -5.5

• -11

TS is a midsegment of triangle GHI. Solve for the value of x.

• 4

• 6

• 8

• 10

UV is a midsegment of triangle FGH. What is the length of segment UV?

• 12

• 10

• 5

• -12

QR is a midsegment of triangle BCD. Solve for the value of x.

• 11

• 18

• 9

• -7

KJ is a midsegment of WXV. What is the length of segment VX?

• 6

• 12

• 9

• -2