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 x2 + (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
