Geometry Similarity & Proportionality 2

Question 1

Two triangles are similar with a scale factor of 3. If the smaller triangle has a perimeter of 12 cm, what is the perimeter of the larger triangle?

Accepted Answer

36 cm

Answer

15 cm

Answer

108 cm

Answer

24 cm

Question 2

In similar figures, the ratio of areas equals the ratio of corresponding sides:

Accepted Answer

Squared

Answer

Equal to it

Answer

Cubed

Answer

Square-rooted

Question 3

A line parallel to one side of a triangle divides the other two sides proportionally. This is known as the:

Accepted Answer

Triangle Proportionality Theorem

Answer

Pythagorean Theorem

Answer

Angle Bisector Theorem

Answer

Midsegment Theorem

Question 4

If two triangles have all three pairs of angles equal, they are guaranteed to be:

Accepted Answer

Similar

Answer

Congruent

Answer

Equilateral

Answer

Right triangles

Question 5

A 6 ft person casts a 4 ft shadow while a nearby tree casts a 20 ft shadow. How tall is the tree?

Accepted Answer

30 ft

Answer

24 ft

Answer

13.3 ft

Answer

40 ft

Question 6

Which similarity criterion uses two pairs of proportional sides and the included angle?

Accepted Answer

SAS similarity

Answer

AA similarity

Answer

SSS similarity

Answer

HL similarity

Question 7

Two similar rectangles have a side ratio of 2:5. What is the ratio of their areas?

Accepted Answer

4:25

Answer

2:5

Answer

8:125

Answer

10:25