Geometry Regents Review # 1

Point M divides AB so that AM:MB = 1:2. If A has coordinates (-1, -3) and B has coordinates (8,9), find the coordinates of M.

• (2, 1)

• (5/3, 0)

• (5, 5)

• (23/3, 8)

Tags

CCSS.HSG.GPE.B.6

In the accompanying diagram, AB parallel to CD, m<CAB = 80, and m<DCB = 40. What is m<ACB?

• 40

• 60

• 80

• 120

Tags

CCSS.8.G.A.5

ΔABC is similar to ΔDEF. The ratio of the length of AB to the length of DE is 3:1. Which ratio is also equal to 3:1?

• m<A: m<D

• m<B:m<F

• area ΔABC: area ΔDEF

• perimeter ΔABC:perimeter ΔDEF

Tags

CCSS.HSG.SRT.A.2

The measures of the angles of a triangle are in the ratio 2:3:4. In degrees, the measure of the largest angle of the triangle is:

• 20

• 40

• 80

• 100

Tags

CCSS.8.G.A.5

In the accompanying diagram, ΔABC is a right triangle and CD is the altitude to the hypotenuse AB. If AD = 4 and DB = 16, find the length of CD.

• 4√5

• 8

• 4√15

• 2√5

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

In the accompanying diagram of ΔABC, L is the midpoint of BC, M is the midpoint of AB, and N is the midpoint of AC. If MN = 8, ML = 5, and NL = 6, find the perimeter of trapezoid BMNC.

• 35

• 31

• 28

• 26

Tags

CCSS.HSG.CO.C.10

The sides of a triangle are 8, 12, and 15. The longest side of a similar triangle is 18. What is the ratio of the perimeter of the smaller triangle to the perimeter of the larger triangle?

• 2:3

• 4:9

• 5:6

• 25:36

Tags

CCSS.HSG.SRT.A.1

CCSS.HSG.SRT.A.2

CCSS.HSG.SRT.A.3

CCSS.HSG.SRT.B.5

Triangle PQT with RS parallel to QT. If PR = 12, RQ = 8, and PS = 21, what is the length of PT?

• 14

• 17

• 35

• 38

Tags

CCSS.HSG.SRT.B.4

Find the equation of the line perpendicular to the line 2x - 5y = 10 that passes through the point ( -1, 4)

• y - 4 = 2/5(x-1)

• y +4 = 2/5(x + 1)

• y - 4 = -5/2(x+1)

• y - 4 = 5/2(x - 1)

Tags

CCSS.HSG.GPE.B.5

In the diagram, ΔLMO is isosceles with LO = MO. If m<L = 55 and m<NOM = 28, what is m<N?

• 27

• 28

• 42

• 70

Tags

CCSS.8.G.A.5