Proportionality Theorems

Calculate the length of AE.

• AE = 16 ft

• AE = 24 ft

• AE = 28 ft

• AE = 36 ft

Calculate the value of x.

• x = 32 m

• x = 35 m

• x = 40 m

• x = 42 m

TRUE or FALSE?

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.

Are the triangles similar?

• No, they are not similar.

• Yes, by AA~.

• Yes, by SAS~.

• Yes, by SSS~.

Calculate the length of RT.

• RT = 54 cm

• RT = 60 cm

• RT = 64 cm

• RT = 72 cm

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.

Are triangle ABC and ADE similar?

• No, they are not similar.

• Yes, by AA~.

• Yes, by SAS~.

• Yes, by SSS~.

Calculate the length of PR.

• PR = 24 ft

• PR = 28 ft

• PR = 32 ft

• PR = 42 ft

Calculate the length of DE.

• DE = 23 m

• DE = 24 m

• DE = 25 m

• DE = 26 m

Is triangle ABC similar to triangle BDC?

• No, they are not similar.

• Yes, by AA~.

• Yes, by SAS~.

• Yes, by SSS~.