WorksheetsGeometry Common Core
Total questions: 15
Worksheet time: 15mins
Which reason belongs to STEP 6?
Isosceles Triangle Theorem
CPCTC
ASA
Def. of Angle Bisector
Given a point in the coordinate plane, the rule (x, y) --> (x + 2, y - 3) translates the point in which direction?
2 units to the left and 3 units up
3 units to the left and 2 units down
3 units right and 2 units up
2 units right and 3 units down
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
A vertical mine shaft is modeled in the diagram below. At a point on the ground 50 feet from the top of the mine, a ventilation tunnel is dug at an angle of 47°. What is the length of the tunnel, to the nearest foot?
47
54
68
73
On the set of axes below, triangle BLU has vertices with coordinates B(-3, 2), L(-2, 5), and U(1, 1). What is the area of triangle BLU?
11
12.5
14
17.1
In the diagram below, triangle CAR is mapped onto triangle BUS 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
In the diagram below, triangle GHJ is dilated by a scale factor of 1/2 centered at point B to map onto triangle CDF. If m∠DFC = 40°, what is m∠HJG?
20°
40°
60°
80°
In the diagram below of square CASH, diagonals AH and CS intersect at Z. Which statement is true?
m∠AZC > m∠ZCH
m∠AZC < m∠ASZ
m∠AZC = m∠SHC
m∠AZC = m∠ZCH
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?
Circle with diameter 4
Circle with diameter 8
Rectangle with dimensions 4 by 12
Rectangle with dimensions 8 by 12
In the diagram of ΔCAT below, ∠A = 90° and altitude ĀE 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
In the diagram below, ABCD || EHK, and MBHP and NCHL are drawn such that BC ≅ BH. If m∠NCD = 62°, what is m∠HPK?
118°
68°
62°
56°
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
The surface of the roof of a house is modeled by two congruent rectangles with dimensions 40 feet by 16 feet, as shown below. 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
Right triangle MET, altitude ES is drawn to hypotenuse MT. If ME = 6 and SM = 4, what is MT?
9
8
5
4
In circle O, secants CFD and CHE are drawn from external point C. If m of arc DE = 136° and m∠C = 44°, then m of arc FH is:
46°
48°
68°
88°
