Geometry Regents Practice Questions

Question 1

Question

What are the coordinates of the center and the length of the radius of the circle whose equation is

$(x+ 1)^2 + (y - 5)^2 = 16$ ?

Answer

(1, -5) and 16
(-1, 5) and 16
(1, -5) and 4
(-1, 5) and 4

Question 2

Question

Line ℓ passes through the point (5,3) and is parallel to line k whose equation is

$5x + y = 6$ . An equation of line ℓ is

Answer

$y = \frac{1}{5}x + 2$
$y = -5x - 28$
$y = \frac{1}{5}x - 2$
$y = -5x + 28$

Question 3

Question

In the diagram below,

$\overline{AC}$ and

$\overline{BC}$ are tangent to circle O at A and B, respectively, from external point C. If

$m\angle ACB = 38$ , what is

$m\angle AOB$ ?

Image:

Screen_Shot_2014-05-21_at_12.02.39_PM (image/png)

Answer

Question 4

Question

Based on the construction below, which conclusion is not always true?

Image:

Screen_Shot_2014-05-21_at_12.08.56_PM (image/png)

Answer

$CE = DE$
$AE = EB$
$\overline{AB}\perp\overline{CD}$
$AB = CD$

Question 5

Question

A rectangular prism has a base with a length of 25, a width of 9, and a height of 12. A second prism has a square base with a side of 15. If the volumes of the two prisms are equal, what is the height of the second prism?

Answer

Question 6

Question

In triangles

$ABC$ and

$DEF$ ,

$AB = 4$ ,

$AC = 5$ ,

$DE = 8$ ,

$DF = 10$ , and

$\angle A \cong \angle D$ . Which method could be used to prove

$\triangle ABC \sim \triangle DEF$ ?

Answer

Question 7

Question

Secants

$\overline{JKL}$ and

$\overline{JMN}$ are drawn to circle O from an external point, J. If

$JK = 8$ ,

$LK = 4$ , and

$JM = 6$ , what is the length of

$\overline{JN}$ ?

Answer

Question 8

Question

In the diagram below of circle O, chord

$\overline{AB}$ is parallel to chord

$\overline{GH}$ . Chord

$\overline{CD}$ intersects

$\overline{AB}$ at

$E$ and

$\overline{GH}$ at

$F$ . Which statement must always be true?

Image:

Screen_Shot_2014-05-21_at_12.22.02_PM (image/png)

Answer

$\overset{\frown}{AC} \cong \overset{\frown}{CB}$
$\overset{\frown}{DH} \cong \overset{\frown}{BH}$
$\overset{\frown}{AB} \cong \overset{\frown}{GH}$
$\overset{\frown}{AG} \cong \overset{\frown}{BH}$

Question 9

Question

Which equation represents a line that is parallel to the line whose equation is

$3x - 2y = 7$ ?

Answer

$y = -\frac{3}{2} x + 5$
$y = -\frac{2}{3} x + 4$
$y = \frac{3}{2} x - 5$
$y = \frac{2}{3} x - 4$

Question 10

Question

Which equation represents a line that is parallel to the line whose equation is

$3x - 2y = 7$ ?

Answer

$y = -\frac{3}{2} x + 5$
$y = -\frac{2}{3} x + 4$
$y = \frac{3}{2} x - 5$
$y = \frac{2}{3} x - 4$

Question 11

Question

Square ABCD has vertices A(2,3), B(4,1), C(2,5), and D(4,3). What is the length of a side of the square?

Answer

$2 \sqrt{5}$
$2 \sqrt{10}$
$4 \sqrt{5}$
$10 \sqrt{2}$

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Geometry Regents Practice Questions

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Resource summary

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10

Question 11

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	Created by Landon Valencia almost 11 years ago