Similar Triangle

What is similar triangles?

• Triangles with equal side lengths

• Triangles with equal angles

• Triangles with equal perimeter

• Triangles with equal area

Triangle ABC is similar to triangle DEF. If the length of AB is 8 cm and the length of DE is 12 cm, what is the length of BC if EF is 18 cm?

• 12 cm

• 13 cm

• 11 cm

• 14 cm

Two trees cast shadows of 10 meters and 15 meters, respectively. If the taller tree is 12 meters tall, how tall is the shorter tree?

• 3 meters

• 6 meters

• 8 meters

• 4 meters

Triangle ABC is similar to triangle DEF, with AB = 6 cm, BC = 8 cm, and EF = 10 cm. If the length of side DE is 7.5 cm, find the length of side AC.

• 3 cm

• 2 cm

• 6 cm

• 4 cm

It is an equation shows two ratios are equivalent

• Extremes

• Means

• Proportion

• Ratio

If triangle ABC is similar to triangle DEF with a scale factor of 2:3, what is the ratio of the length of side AB to side DE?

• 2:3

• 3:2

• 4:9

• 9:4

Which theorem states that if a line parallel to one side of a triangle intersects the other two sides, then it divides those sides proportionally?

• Angle bisector theorem

• Midsegment theorem

• Triangle proportionality theorem

• Pythagorean theorem

In triangle ABC, if AD is an angle bisector where D is on BC, then according to the Angle Bisector Theorem:

• AB/BC = AD/DC

• AB/AC = AD/DC

• AC/BC = AD/DC

• AB/AC = BD/DC

If triangle XYZ is similar to triangle UVW and XY = 4, UV = 6, and VW = 9, what is the length of side YZ?

• 6

• 8

• 12

• 18

In triangle PQR, the lengths of PQ, QR, and PR are 4 cm, 6 cm, and 8 cm, respectively. If triangle PQR is similar to triangle STU, where PQ = 8 cm, find the length of ST.

• 8 cm

• 7 cm

• 9 cm

• 10 cm