Similar Polygons and Proportionality

ABCD is a trapezium whose diagonals AC and BD intersect at O such that OA = (3x - 1) cm, OB = (2x + 1) cm OC = (5x - 3) cm and OD = (6x - 5) cm. Find x.

• 2

• 3

• 2.5

• 4

• 3.6 cm

• 6 cm

• 6.4 cm

• 7.2 cm

Find the missing length indicated.

• 30

• 25

• 45

• 50

Find the missing length indicated. 

• 16

• 8

• 10

• 14

Find the value of x.

• 10

• 35

• 8

• None of these

Complete each proportion.
AB / BM  =  ? / CD

• BC

• AC

• MD

• MC

The triangles are similar, solve for the question mark.

• 8

• 12.5

• 18

• 24

Choose the similarity statement for the triangles.

• ΔMNL ∼ ΔOPQ

• ΔNOM ∼ ΔPQL

• ΔLMN ∼ ΔPQO

• ΔMLN ∼ ΔPQO

Determine if the triangles are similar. Justify.

• Yes, by SSS.

• Yes, by SAS. Scale Factor is 1:2.

• Yes, by SAS. Scale Factor is 3:1.

• No, not similar.

What similarity theorem would prove that these triangles are similar?

• SAS∼

• SSS∼

• AA∼

• Side Splitter