Geometry Regents Exam

A tipping platform is a ramp used to unload trucks, as shown in the diagram below. The truck is on a 75-foot-long ramp. The ramp is tipped at an angle of 30°. What is the height of the upper end of the ramp, x, to the nearest tenth of a foot?

• (1) 68.7

• (2) 65.0

• (3) 43.3

• (4) 37.5

Tags

CCSS.HSG.SRT.C.8

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

Tags

CCSS.HSG.CO.C.9

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

In the diagram below of circle O, secants CFD and CHE are drawn from external point C. If m∠DE = 136° and m∠C = 44°, then m∠FH is

• 46°

• 48°

• 68°

• 88°

Tags

CCSS.HSG.C.A.2

In the diagram below, ABCD || EHK, and MBHP and NCHL are drawn such that BC ≅ BH. If m∠NCD = 62°, what is m∠PHK?

• 118°

• 68°

• 62°

• 56°

Tags

CCSS.8.G.A.5

In the diagram of triangles ABD and CBE below, sides AD and CE intersect at F, and ∠ADB ≅ ∠CEB. Which statement can not be proven?

• △ADB ≅ △CEB

• ∠EAF ≅ ∠DCF

• △ADB ~ △CEB

• △EAF ~ △DCF

Tags

CCSS.HSG.SRT.B.5

The diagram below models the projection of light from a lighthouse, L. The sector has a radius of 38 miles and spans 102°. Determine and state the area of the sector, to the nearest square mile.

Tags

CCSS.HSG.C.B.5

On the set of axes below, congruent triangles ABC and DEF are graphed. Describe a sequence of rigid motions that maps ΔABC onto ΔDEF.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

In the diagram of ΔSRA below, KP is drawn such that ∠SKP ≅ ∠SRA. If SK = 10, SP = 8, and PA = 6, what is the length of KR, to the nearest tenth?

• 4.8

• 7.5

• 8.0

• 13.3

Tags

CCSS.HSG.SRT.B.4

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