Similar Figures and Similar Triangles, Quiz

Which pair of figures is always similar?

A Any two isosceles triangles

B Any two squares

C Any two rhombuses

D Any two rectangles

\triangle ABC \sim \triangle PQR

with

AB = 4

,

BC = 7

,

CA = 9

and

PQ = 8

. Find

QR

.

A

14

B

11

C

18

D

3.5

Two similar triangles have perimeters

36

cm and

27

cm. A side of the larger is

12

cm. Find the matching side of the smaller.

A

9

cm

B

8

cm

C

16

cm

D

3

cm

\triangle ABC \sim \triangle DEF

with

\angle A = 60^\circ

and

\angle E = 75^\circ

. Find

\angle C

.

A

45^\circ

B

135^\circ

C

60^\circ

D

75^\circ

What two conditions make two polygons with the same number of sides similar?

A Same perimeter and same area

B Corresponding angles equal and corresponding sides proportional

C Corresponding angles equal only, for every polygon

D Corresponding sides equal only

Menu