Geometry Review Regents

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

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

The line whose equation is 3x - 5y = 4 is dilated by a scale factor of 5/3 centered at the origin. Which statement is correct?

• The image of the line has the same slope as the pre-image but a different y-intercept

• the image of the line has the same y-intercept as the pre-image but a different slope

• The imagine of the line has the same slope and the same y-intercept as the pre-image

• the image of the line has a different slope and a different y-intercept from the pre-image.

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

• 1

• 2

• 3

• 4

• 1

• 2

• 3

• 4

Tags

CCSS.HSG.CO.C.9

• 1

• 2

• 3

• 4

Tags

CCSS.8.G.A.3