Circles: Similarity and Construction

1.

Multiple Choice

30 sec

1 pt

True or False

All circles are similar.

True

False

2.

Multiple Choice

2 mins

1 pt

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

3.

Multiple Choice

2 mins

1 pt

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.

4.

Multiple Choice

2 mins

1 pt

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

5.

Multiple Choice

2 mins

1 pt

In order to construct the inscribed circle of a triangle, you have to construct ______(?)_________.

the orthocenter

the circumcenter

the incenter

the centroid

6.

Multiple Choice

2 mins

1 pt

The steps to construct a circumscribed circle of a triangle includes which of the following?

Construct perpendicular bisectors of 2 sides of the triangle.

Construct the incenter.

Construct angle bisectors of all angles.

Construct the centroid.

7.

Multiple Choice

2 mins

1 pt

Which of the following is the first 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.

8.

Multiple Choice

2 mins

1 pt

Which of the following is the second 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.

9.

Multiple Choice

2 mins

1 pt

Which of the following is the third 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.

10.

Multiple Choice

2 mins

1 pt

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.

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