August 2022 Geometry Regents - Part 1

In the diagram below, ΔABC is reflected over line l to create ΔDEF. If m∠A = 40° and m∠B is 95°, what is m∠F?

• 40 degrees

• 45 degrees

• 85 degrees

• 95 degrees

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

• ∠B is a right angle

• ΔABC is isosceles

Tags

CCSS.HSG.SRT.A.2

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

• MA = XY

• m∠H = m∠W

• Quadrilateral WXYZ can be mapped onto quadrilateral MATH using a sequence of rigid motions

• Quadrilateral MATH and quadrilateral WXYZ are the same shape, but not necessarily the same size.

Tags

CCSS.8.G.A.2

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

• a square

• a rhombus

• a rectangle

• an isosceles trapezoid

Which regular polygon has a minimum rotation of 36° about its center that carries the polygon onto itself?

• pentagon

• nonagon

• octagon

• decagon

Tags

CCSS.HSG.CO.A.4

On the set of axes below, ΔRST is the image of ΔABC after a dilation centered at point P. The scale factor of the dilation that maps ΔABC onto ΔRST is

• 1/3

• 2

• 3

• 2/3

Tags

CCSS.8.G.A.3

In the diagram of ΔABC below, m∠C = 90°, CB = 13, and AB = 16. What is the measure of ∠A, to the nearest degree?

• 36°

• 39°

• 51°

• 54°

Tags

CCSS.HSG.SRT.C.8

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?

• 751,818

• 1,384,188

• 2,076,212

• 4,152,563

Tags

CCSS.HSG.GMD.A.3

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?

• reflection over the y-axis

• reflection over the x-axis

• rotation of 180 degrees around point (1, 0)

• reflection over the line y = x - 1

Tags

CCSS.HSG.CO.A.3

If scalene triangle XYZ is similar to triangle QRS and m∠X= 90°, which equation is always true?

• sin Y = sin S

• cos R = cos Z

• cos Y = sin Q

• sin R = cos Z

Tags

CCSS.HSG.SRT.A.2