Geometry Midterm Review Regents

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.

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

In the diagram below, ΔTEA is mapped onto ΔHON after a sequence of rigid motions. If EA = 6x + 8, AT = 10x - 20, TE = 4x + 12, and NH = 8x - 8, what is the length of side NH?

• 6

• 16

• 40

• 56

Tags

CCSS.HSG.CO.B.7

In the diagram below ABCD // EFG, and BF and CF are drawn. If m∠FCB = 29° and the m∠ABF = 135°, what is the m∠BFC?

• 16°

• 45°

• 74°

• 106°

Tags

CCSS.8.G.A.5

Line segment APB has endpoints A(-5, 4) and B(7, -4). What are the coordinates of P if AP:PB is in the ratio 1:3?

• (-2, 2)

• (-1, 1.3)

• (1, 0)

• (4, -2)

Tags

CCSS.HSG.GPE.B.6

ΔCUZ is the image of ΔWHY after a translation. ΔNOT is the image of ΔCUZ after a rotation. Which statement is always true?

• WY ≡ UZ

• HY ≡ OT

• ∠U ≡ ∠T

• ∠W ≡ ∠O

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Which regular polygon would carry onto itself after a rotation of 320° about its center?

• Decagon

• Nonagon

• Octagon

• Hexagon

Tags

CCSS.HSG.CO.A.4

What is the image of (5, 4) after a reflection over the line y = 1?

• (-7, 4)

• (-5, 4)

• (5, -2)

• (5, -4)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5