Geometry Regents Practice Questions

Descripción

Practice questions for the Geometry Regents. Attibute: nysregents.org
Landon Valencia
Test por Landon Valencia , actualizado hace más de 1 año
Landon Valencia
Creado por Landon Valencia hace más de 10 años
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Resumen del Recurso

Pregunta 1

Pregunta
What are the coordinates of the center and the length of the radius of the circle whose equation is \( (x+ 1)^2 + (y - 5)^2 = 16\)?
Respuesta
  • (1, -5) and 16
  • (-1, 5) and 16
  • (1, -5) and 4
  • (-1, 5) and 4

Pregunta 2

Pregunta
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
Respuesta
  • \(y = \frac{1}{5}x + 2\)
  • \(y = -5x - 28\)
  • \(y = \frac{1}{5}x - 2\)
  • \(y = -5x + 28\)

Pregunta 3

Pregunta
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 \(m\angle AOB\)?
Respuesta
  • 71
  • 104
  • 142
  • 161

Pregunta 4

Pregunta
Based on the construction below, which conclusion is not always true?
Respuesta
  • \(CE = DE\)
  • \(AE = EB\)
  • \(\overline{AB}\perp\overline{CD}\)
  • \(AB = CD\)

Pregunta 5

Pregunta
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?
Respuesta
  • 6
  • 8
  • 12
  • 15

Pregunta 6

Pregunta
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 \(\triangle ABC \sim \triangle DEF\)?
Respuesta
  • AA
  • SAS
  • SSS
  • ASA

Pregunta 7

Pregunta
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 \(\overline{JN}\)?
Respuesta
  • 16
  • 12
  • 10
  • 8

Pregunta 8

Pregunta
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?
Respuesta
  • \(\overset{\frown}{AC} \cong \overset{\frown}{CB}\)
  • \(\overset{\frown}{DH} \cong \overset{\frown}{BH}\)
  • \(\overset{\frown}{AB} \cong \overset{\frown}{GH}\)
  • \(\overset{\frown}{AG} \cong \overset{\frown}{BH}\)

Pregunta 9

Pregunta
Which equation represents a line that is parallel to the line whose equation is \(3x - 2y = 7\)?
Respuesta
  • \(y = -\frac{3}{2} x + 5\)
  • \(y = -\frac{2}{3} x + 4\)
  • \(y = \frac{3}{2} x - 5\)
  • \(y = \frac{2}{3} x - 4\)

Pregunta 10

Pregunta
Which equation represents a line that is parallel to the line whose equation is \(3x - 2y = 7\)?
Respuesta
  • \(y = -\frac{3}{2} x + 5\)
  • \(y = -\frac{2}{3} x + 4\)
  • \(y = \frac{3}{2} x - 5\)
  • \(y = \frac{2}{3} x - 4\)

Pregunta 11

Pregunta
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?
Respuesta
  • \(2 \sqrt{5} \)
  • \(2 \sqrt{10} \)
  • \(4 \sqrt{5} \)
  • \(10 \sqrt{2} \)
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