NY Regents Geometry Practice Questions

In the diagram below, $\triangle ABC$ is reflected over line $\ell$ to create $\triangle DEF$.

The diagram below shows triangle $ABC$ with point $X$ on side $\overline{AB}$ and point $Y$ on side $\overline{CB}$. Which information is sufficient to prove that $\triangle BXY \sim \triangle BAC$?

Quadrilateral MATH is congruent to quadrilateral WXYZ. Which statement is always true?

A quadrilateral has diagonals that are perpendicular but not congruent. This quadrilateral could be

Which regular polygon has a minimum rotation of $36^{\circ}$ about its center that carries the polygon onto itself?

On the set of axes below, $\triangle RST$ is the image of $\triangle ABC$ after a dilation centered at point $P$. The scale factor of the dilation that maps $\triangle ABC$ onto $\triangle RST$ is

In the diagram of $\triangle ABC$ below, $\mathrm{m}\angle C = 90^{\circ}$, $CB = 13$, and $AB = 16$. What is the measure of $\angle A$, to the nearest degree?

The Pyramid of Memphis, in Tennessee, stands 107 yards tall and has a square base whose side is 197 yards long.

What is the volume of the Pyramid of Memphis, to the nearest cubic yard?

A square is graphed on the set of axes below, with vertices at $(-1,2)$, $(-1,-2)$, $(3,-2)$, and $(3,2)$. Which transformation would not carry the square onto itself?

If scalene triangle $XYZ$ is similar to triangle $QRS$ and $m\angle X = 90^\circ$, which equation is always true?

A plane intersects a cylinder perpendicular to its bases. This cross section can be described as a

An equation of line $p$ is $y = \frac{1}{3}x + 4$. An equation of line $q$ is $y = \frac{2}{3}x + 8$. Which statement about lines $p$ and $q$ is true?

The coordinates of the endpoints of $\overline{SC}$ are $S(-7,3)$ and $C(2,-6)$. If point $M$ is on $\overline{SC}$, what are the coordinates of $M$ such that $SM:MC$ is 1:2?

On the set of axes below, rectangle WIND has vertices with coordinates $W(-4,2)$, $I(4,0)$, $N(3,-4)$, and $D(-5,-2)$. What is the area of rectangle WIND?

In parallelogram $ABCD$ shown below, $\overline{EB}$ bisects $\angle ABC$. If $\mathrm{m}\angle A = 40^{\circ}$, then $\mathrm{m}\angle BED$ is

In right triangles $ABC$ and $RST$, hypotenuse $AB = 4$ and hypotenuse $RS = 16$. If $\triangle ABC \sim \triangle RST$, then 1:16 is the ratio of the corresponding

Parallelogram $ABCD$ with diagonal $\overline{DB}$ is drawn below. Line segment $EF$ is drawn such that it bisects $\overline{DB}$ at $M$. Which triangle congruence method would prove that $\triangle EMB \cong \triangle FMD$?

In the diagram below of circle $O$, chords $\overline{AD}$ and $\overline{BC}$ intersect at $E$, and chords $\overline{AB}$ and $\overline{CD}$ are drawn. Which statement must always be true?

What are the coordinates of the center and length of the radius of the circle whose equation is $x^{2} + y^{2} - 12y - 20.25 = 0$?

In the diagram below, $ABCD$ is a rectangle, and diagonal $\overline{BD}$ is drawn. Line $\ell$, a vertical line of symmetry, and line $m$, a horizontal line of symmetry, intersect at point $E$. Which sequence of transformations will map $\triangle ABD$ onto $\triangle CDB$?