Similarity Circles

Circle M is dilated by a scale factor of 3/2 and then translated along the vector <-1,3> to form circle M'. Which of the following is true?

• Circle M and circle M' are similar.

• Circle M and circle M' are congruent.

• Circle M and circle M' are concurrent.

• None of the above

Tags

CCSS.8.G.A.4

CCSS.HSG.SRT.A.2

All circles are similar.

• True

• False

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

If Circle A is dilated by a scale factor of 2 to form circle B, which of the following statements is true?

• The diameter of Circle A is equal to the diameter of Circle B.

• The area of Circle B is twice the area of Circle A.

• The ratio of the diameter to the circumference is the same for both circles.

• The radius of Circle A is twice the radius of Circle B

Tags

CCSS.8.G.A.3

If Circle X is dilated by a scale factor of 3 to form Circle Y, which of the following statements is NOT true?

• The radius of Circle Y is 3 times the radius of Circle X.

• The diameter of Circle Y is 3 times the diameter of Circle X.

• The circumference of Circle Y is 3 times the circumference of Circle X.

• The area of Circle Y is 3 times the area of Circle X.

Tags

CCSS.7.G.A.1

Circle A has center (2, 7) and radius 2. Circle B has center (9, 1) and radius 5. Which transformations can be used to show that the two circles are similar?

• Translate circle A right 7 and down 6 and then dilate with scale factor 5/2 and center (9, 1)

• Translate circle A left 7, up 6 and then dilate with scale factor 2/5 and center (9, 1).

• Dilate circle A using center (2, 7) and scale factor 2/5 then translate right 7 and down 6

• Reflect circle A over x = 5.5 and translate up 6 units.

Tags

CCSS.8.G.A.4

CCSS.HSG.SRT.A.2

Circles X and Y have a similarity ratio of 1/2. Which of the following could NOT be true about the circles?

• Circle X has a radius of 5 while Circle Y has a radius of 10.

• Circle X has a circumference of 15π and Circle Y has a circumference of 30π.

• Circle X has a radius of 12 while Circle Y has a radius of 6.

• Circle X has a circumference of 60π while Circle Y has a circumference of 20π.

Tags

CCSS.7.G.A.1

The best way to demonstrate that all circles are similar is to show that

• they're all round

• they all have centers

• a combination of transformations can 'make' one circle become another

• since pi is 3.14, and pies are round and circular, then it's obvious

Tags

CCSS.8.G.A.4

CCSS.HSG.SRT.A.2

Which of the following is the last step of constructing the tangent line from a point outside of circle C in the correct order.

• Place the compass on the midpoint of CX, adjust its length to reach the end point, and draw an arc across the circle.

• Construct the perpendicular bisector of segment CX.

• Draw a line connecting X to one of the points where the arc crosses the circle (tangent points)

• Draw a line segment connecting point X to the center of the circle.

Tags

CCSS.HSG.GPE.A.1

What is the translation vector for Circle B to Circle A?

• <8, -4>

• <-4, 8>

• <-8, 4>

• <4, -8>

Tags

CCSS.HSG.CO.A.2

What is the dilation scale factor?

• 9/16

• 4/3

• 3/4

• 1

Tags

CCSS.8.G.A.4

CCSS.HSG.SRT.A.2