Geometry Regents Practice Questions

1

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

1

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

1

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 \(m\angle AOB\)?

1

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

1

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?

1

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 \(\triangle ABC \sim \triangle DEF\)?

1

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 \(\overline{JN}\)?

1

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?

1

Which equation represents a line that is parallel to the line whose equation is \(3x - 2y = 7\)?

1

Which equation represents a line that is parallel to the line whose equation is \(3x - 2y = 7\)?

1

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?

Practice questions for the Geometry Regents. Attibute: nysregents.org

Geometry Regents Practice Questions

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

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

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 \(m\angle AOB\)?

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

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?

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 \(\triangle ABC \sim \triangle DEF\)?

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 \(\overline{JN}\)?

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?

Which equation represents a line that is parallel to the line whose equation is \(3x - 2y = 7\)?

Which equation represents a line that is parallel to the line whose equation is \(3x - 2y = 7\)?

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?