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.

Juliann plans on drawing △ABC, where the measure of ∠A can range from 50° to 60° and the measure of ∠B can range from 90° to 100°. Given these conditions, what is the correct range of measures possible for ∠C?

20° to 40°

30° to 50°

80° to 90°

120° to 130°

Which method can be used to prove △ABC ≅ △DEF?

SSS

SAS

ASA

HL

In the diagram below, under which transformation will △A′B′C′ be the image of △ABC?

rotation

dilation

translation

glide reflection

The lateral faces of a regular pyramid are composed of

squares

rectangles

congruent right triangles

congruent isosceles triangles

Point A is located at (4,−7). The point is reflected in the x-axis. Its image is located at

(−4,7)

(−4,−7)

(4,7)

(7,−4)

If m AD = 60, what is m∠CDB?

20

30

60

120

y = 2x + 1

y = −2x + 1

y = 2x + 9

y = −2x − 9

Which composition of transformations was used?

In an equilateral triangle, what is the difference between the sum of the exterior angles and the sum of the interior angles?

180°

120°

90°

60°

What is an equation of a circle with its center at (−3,5) and a radius of 4?

(x − 3)^{2} + (y + 5)^{2} = 16

(x + 3)^{2} + (y − 5)^{2} = 16

(x − 3)^{2} + (y + 5)^{2} = 4

(x + 3)^{2} + (y − 5)^{2} = 4

In △ABC, m∠A = 95, m∠B = 50, and m∠C = 35. Which expression correctly relates the lengths of the sides of this triangle?

AB < BC < CA

AB < AC < BC

AC < BC < AB

BC < AC < AB

In a coordinate plane, how many points are both 5 units from the origin and 2 units from the x-axis?

1

2

3

4

What is the contrapositive of the statement, “If I am tall, then I will bump my head”?

If I bump my head, then I am tall.

If I do not bump my head, then I am tall.

If I am tall, then I will not bump my head.

If I do not bump my head, then I am not tall.

If PF = x, which equation can be used to find x?

3.6

6.0

6.4

4.0

16

13

12

10

Which method can be used to show that △ABC must be similar to △EDC?

SAS

AA

SSS

HL

Point P is on line m. What is the total number of planes that are perpendicular to line m and pass through point P?

1

2

0

infinite

Which graph represents a circle with the equation (x − 5)^{2} + (y + 1)^{2} = 9?

What is the volume of the cone to the nearest cubic inch?

201

481

603

804

A circle is represented by the equation x^{2} + (y + 3)^{2} = 13. What are the coordinates of the center of the circle and the length of the radius?

The number of points of intersection is

1

2

3

0

m∠RQT > m∠R

m∠RQT > m∠P

m∠RQT = m∠P + m∠R

m∠RQT > m∠PQR

Which illustration shows the correct construction of an angle bisector?

Which equation represents a line perpendicular to the line whose equation is 2x + 3y = 12?

6y = −4x + 12

2y = 3x + 6

2y = −3x + 6

3y = −2x + 12

8

9

10.5

13.5

In three-dimensional space, two planes are parallel and a third plane intersects both of the parallel planes. The intersection of the planes is a