Regents Geometry

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

Tags

CCSS.HSG.CO.C.11

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

For a circle of radius 7 feet, find the arc length s cut off by a central angle of 6 degrees

• 42 pi feet

• 7/10 pi feet

• 7/30 pi feet

• 7/15 pi feet

Tags

CCSS.HSG.C.B.5

In the scalene triangle ABC shown in the diagram below, M< C = 90 degrees. Which equation is always true?

• sin A = Sin B

• Cos A = Cos B

• Cos A = Sin C

• Sin A = Cos B

Tags

CCSS.HSG.SRT.C.7

A water cup in the shape of a cone has a height of 4 inches and a maximum diameter of 3 inches. What is the volume of the water in the cup, to the nearest tenth of a cubic inch, when the cup is filled to half its height?

• 1.2

• 3.5

• 4.7

• 14.1

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

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

• 1

• 2

• 3

• 4

Tags

CCSS.HSG.CO.C.9

• 1

• 2

• 3

• 4

Tags

CCSS.8.G.A.3

• 1

• 2

• 3

• 4

Tags

CCSS.HSG.GPE.B.6