Geometry Regents Exam

Which object is formed when right triangle RST shown below is rotated around leg RD?

• A pyramid with a square base

• an isosoceles Triangle

• a right triangle

• A cone

Tags

CCSS.7.G.A.3

The vertices of triangle JKL havae coordinates J(5,1), K(-2, -3) and L(-4,1). Under which transformation is the image triangle J'K'L' not congruent to triangle JKL?

• a translation of two units to the right and two units down

• a counterclockwise rotation of 180 degrees around the origin

• a reflection over the x-axis

• a dilation with a scale factor of 2 and centered at the origin

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

The center of circle Q has coordinates (3, -2). If circle Q passes through R(7,1), what is the length of its diameter?

• 50

• 25

• 10

• 5

In the diagram below, congruent figures 1,2, and 3 are drawn. Which sequence of transformations maps figure 1 onto figure 2 and then figure 2 onto figure 3?

• a reflection followed by a translation

• a rotation followed by a translation

• a translation followed by a reflection

• a translation followed by a rotation

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

As shown in the diagram below, the angle of elevation from a point on the ground to the top of the tree is 34 degrees. If the point is 20 feet from the base of the tree, what is the height of the tree, to the nearest tenth of a foot?

• 29.7

• 16.6

• 13.5

• 11.2

Tags

CCSS.HSG.SRT.C.8

The cross section of a regular pyramid contains the altitude of the pyramid. The shape of this cross section is a

• circle

• square

• triangle

• rectangle

Tags

CCSS.7.G.A.3

A parallelogram must be a rectangle when its

• diagonals are perpendicular

• diagonals are congruent

• opposite sides are parallel

• opposite sides are congruent

Tags

CCSS.HSG.CO.C.11

Given three distinct quadrilaterals, a square, a rectangle, and a rhombus, which quadrilaterals must have perpendicular diagonals?

• the rhombus only

• the rectangle and the square

• the rhombus and the square

• the rectangle, the rhombus and the square

Which quadrilateral has diagonals that always bisect its angles and also bisect each other?

• rhombus

• rectangle

• parallelogram

• isosceles trapezoid

Tags

CCSS.HSG.CO.C.11

Line segment RW has endpoints R(-4,5) and W(6,20). Point P is on RW such that RP:PW is 2:3. What are the coordinates of point P?

• (2,9)

• (0,11)

• (2,14)

• (10,2)

Tags

CCSS.HSG.GPE.B.6