Regents Q4

A rectangle is graphed on the set of axes below. A reflection over which line would carry the rectangle onto itself?

• y = 2

• y = 10

• y = (1/2)x - 3

• y = -(1/2)x + 7

Tags

CCSS.HSG.CO.A.3

The surface of the roof of a house is modeled by two congruent rectangles with dimensions 40 feet by 16 feet. Roofing shingles are sold in bundles. Each bundle covers 33 1/3 square feet. What is the minimum number of bundles that must be purchased to completely cover both rectangular sides of the roof?

• 20

• 2

• 39

• 4

In the diagram below, ΔCAR is mapped onto ΔBUS after a sequence of rigid motions. If AR = 3x + 4, RC = 5x – 10, CA = 2x + 6, and SB = 4x – 4, what is the length of SB?

• 6

• 16

• 20

• 28

Tags

CCSS.HSG.CO.B.7

In the diagram below of right triangle MET, altitude ES is drawn to hypotenuse MT. If ME = 6 and SM = 4, what is MT?

• 9

• 8

• 5

• 4

In the diagram below of square CASH, diagonals AH and CS intersect at Z. Which statement is true?

• m∠ACZ > m∠ZCH

• m∠ACZ < m∠ASZ

• m∠AZC = m∠SHC

• m∠AZC = m∠ZCH

Tags

CCSS.HSG.CO.C.11

A right circular cylinder has a diameter of 8 inches and a height of 12 inches. Which two-dimensional figure shows a cross section that is perpendicular to the base and passes through the center of the base?

• 1

• 2

• 3

• 4

Tags

CCSS.7.G.A.3

In parallelogram ABCD with AC perpendicular to BD, AC = 12 and BD = 16. What is the perimeter of ABCD?

• 10

• 24

• 40

• 56

Tags

CCSS.HSG.CO.C.11

In the diagram of △CAT below, m∠A = 90° and altitude AE is drawn from vertex A. Which statement is always true?

• CE/AE = AE/ET

• AE/CE = AE/ET

• AC/CE = AT/ET

• CE/AC = AC/ET

Tags

CCSS.HSG.CO.C.10

A sandbox in the shape of a rectangular prism has a length of 43 inches and a width of 30 inches. Jack uses bags of sand to fill the sandbox to a depth of 9 inches. Each bag of sand has a volume of 0.5 cubic foot. What is the minimum number of bags of sand that must be purchased to fill the sandbox?

• 14

• 13

• 7

• 4

Tags

CCSS.7.G.B.6

Parallelogram EATK has diagonals ET and AK. Which information is always sufficient to prove EATK is a rhombus?

• EA ⟂ AT

• EA ≅ AT

• ET ≅ AK

• ET ≅ AT

Tags

CCSS.HSG.CO.C.11