Multiple-Choice Exercise From the New York State Education Department. Regents High School Examination. Internet. Available from http://www.nysedregents.org; accessed January 22, 2012.; All rights reserved. No commercial, for-profit use of this material is allowed. E-mail comments and questions to Tami Maloney.

Choose the correct answer for each question.

Based on the diagram below, which statement is true?

The diagram below shows the construction of the bisector of ∠ABC

Which statement is not true?

What is the measure of ∠A?

40°

50°

70°

100°

150

120

100

60

Which statement is true based on the given information?

Which transformation produces a figure similar but not congruent to the original figure?

What is the measure of ∠2?

15°

30°

45°

60°

On the set of axes below, Geoff drew rectangle ABCD. He will transform the rectangle by using the translation (x,y) (x + 2,y + 1) and then will reflect the translated rectangle over the x-axis.

What will be the area of the rectangle after these transformations?

exactly 28 square units

less than 28 square units

greater than 28 square units

It cannot be determined from the information given.

What is the equation of a line that is parallel to the line whose equation is y = x + 2?

x + y = 5

2x + y = −2

y − x = −1

y − 2x = 3

(2,3)

(2,−1)

(4,−2)

(4,3)

What are the center and the radius of the circle whose equation is (x − 3)^{2} + (y + 3)^{2} = 36?

center = (3,−3); radius = 6

center = (−3,3); radius = 6

center = (3,−3); radius = 36

center = (−3,3); radius = 36

Given the equations:

What is the solution to the given system of equations?

(2,3)

(3,2)

(2,2) and (1,3)

(2,2) and (3,1)

SSS

SAS

SSA

ASA

In the diagram below, line k is perpendicular to plane P at point T.

Which statement is true?

Any point in plane P also will be on line k.

Only one line in plane P will intersect line k.

All planes that intersect plane P will pass through T.

Any plane containing line k is perpendicular to plane P.

In the diagram below, which transformation was used to map △ABC to △A′B′C′?

dilation

rotation

reflection

glide reflection

Which set of numbers represents the lengths of the sides of a triangle?

{5, 18, 13}

{6, 17, 22}

{16, 24, 7}

{26, 8, 15}

A quadrilateral whose diagonals bisect each other and are perpendicular is a

rhombus

rectangle

trapezoid

parallelogram

If AC = 10, AT = 18, and CT = 22, what is the perimeter of parallelogram CDOG ?

21

25

32

40

Which equation represents circle K shown in the graph below?

(x + 5)^{2} + (y − 1)^{2} = 3

(x + 5)^{2} + (y − 1)^{2} = 9

(x − 5)^{2} + (y + 1)^{2} = 3

(x − 5)^{2} + (y + 1)^{2} = 9

32

6

3

4

What is the value of x?

1

3.6

5

10.25

What is the negation of the statement “Squares are parallelograms”?

Parallelograms are squares.

Parallelograms are not squares.

It is not the case that squares are parallelograms.

It is not the case that parallelograms are squares.

The diagram below shows the construction of the center of the circle circumscribed about △ABC.

This construction represents how to find the intersection of

the angle bisectors of △ABC

the medians to the sides of △ABC

the altitudes to the sides of △ABC

the perpendicular bisectors of the sides of △ABC

A right circular cylinder has a volume of 1,000 cubic inches and a height of 8 inches. What is the radius of the cylinder to the nearest tenth of an inch?

6.3

11.2

19.8

39.8

If two different lines are perpendicular to the same plane, they are

collinear

coplanar

congruent

consecutive

How many common tangent lines can be drawn to the two externally tangent circles shown below?