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Intro to Similarity

Total questions: 9

Worksheet time: 8mins

Name
Class
Date
1.

Which statement provides a valid justification for why all circles are similar?

a)

All circles have the same shape - a circle - so they must be similar

b)

All circles have no angles and no sides, so they must be similar

c)

I can translate any circle exactly onto another, so they must be similar

d)

I can translate the center of any circle to the center of another, and then dilate from that center by an appropriate scale factor, so they must be similar

2.

Similar or not?

a)

Similar

b)

Not similar

3.

Similar or not?

a)

Similar

b)

Not similar

4.

Similar or not?

a)

Similar

b)

Not similar

5.

Similar or not?

a)

Similar

b)

Not similar

6.

Select ALL sequences of transformations that would show that

ΔABC\Delta ABC   and  ΔAED\Delta AED   are similar. The length of AC is 6 units.

a)

Dilate triangle ABC using center A by a scale factor of 1/2, then reflect over line AC

b)

Dilate triangle AED using center A by scale factor if 2, then reflect over line AC

c)

Reflect triangle ABC over line AC, then dilate using center A by a scale factor of 1/2

d)

Reflect triangle AED over line AC, then dilate using center A by a scale factor of 2

e)

Translate triangle AED by directed line segment DC, then dilate using center C by scale factor 2

7.

True or false?

Two equilateral triangles are similar

a)

True

b)

False

8.

True or false?

An equilateral triangle and a square are similar

a)

True

b)

False

9.

Select ALL true statements given that angle AED is congruent to angle ABC

a)

ACB is 180x°\angle ACB\ is\ 180-x\degree

b)

ACB is x°\angle ACB\ is\ x\degree

c)

ΔACB  ΔADE\Delta ACB\ \sim\ \Delta ADE

d)

AD = 13ACAD\ =\ \frac{1}{3}AC

e)

AD=12DCAD=\frac{1}{2}DC