Segments/Angles/Parallel Lines
Triangles
Quadrilaterals
Triangle Trig
Area/SA/Volume
100
Solve by Elimination
-6x - 7y + 10 = 0
8x + 14y = 4
(4, -2)
100
Given ∆DEF is equilateral. If measure of angle D = (3x-9)˚ and DE=2x+1, determine the perimeter of ∆DEF.
141 units
100
Given quadrilateral JACK with m<J=86˚, m<A=52˚, and m<K=124˚. Determine m<C.
98˚
100
Given TRAP is an isosceles trapezoid with segment TP congruent to segment RA and altitude segment RM. If TP = 15, RM = 12, and AP = 35, determine the perimeter of TRAP.
82 units
100
Given parallelogram WXYZ with WX = 15 m, WZ = 10 m, m<W=80˚. Determine the area of WXYZ. Round to the nearest thousandth.
147.721 m2
200
Solve by factoring:
m = -2/3, m = 4
200
Two sides of a triangle have lengths 10 inches and 4 inches. Determine the range of the third side length.
6<x<14 or (6,14)
200
MAST is a kite. MA = 6x + 40, TS = 4x + 39, and AS = –3x + 4. Determine the perimeter of MAST.
78 units and 58 units
200
Robert went for a long run one morning. He ran 2 mi north, 6 mi west, 4 mi north, and then 2 mi west. How far is the direct path to Robert's starting point?
10 miles
200
Given a regular pentagon with an apothem of 8 cm, determine the area. Round to the nearest thousandth.
232.494 cm2
300
The supplement of an angle is 30 less than 5 times the complement of the angle. Determine the complement of the original angle.
c = 30˚
300
Given ∆ABC with AB > AC, measure of angle B =(2x+18)˚and measure of angle C = (3x+12)˚, determine the restriction on x.
6<x<30 or (6,30)
300
Given: CRAB is a parallelogram with diagonals that intersect at N.
CB = 2x + 3
CR = x + 2
CA = 3x + 1
Perimeter CRAB = 58
Find: BA and CN
BA=10 units
Cn=12.5 units
300
The ramp you are using for a moving truck is 9’ 6” long. If the ramp is reaching the bottom of the truck 2 feet above ground, approximately how many degrees is the incline of the ramp from the ground? Round to the nearest thousandth.
12.153˚ incline from ramp
300
Find the exact total surface area of a right equilateral triangular prism with a height of 12 mm.
25 root3 /2 +180 mm2
400
Trapezoid ABCD for A(2, 2), B(2, –1), C(–1, –2), D(–1, 3) Translate down 2 and left 1, then reflect over the line x = 3. List the coordinates of A”B”C”D”.
A” (5,0)
B” (5,-3)
C” (8,-4)
D” (8,1)
400
Given A(2, 1) B(16, 3) C(4, 12):
Write the equation of the altitude from C to AB in point–slope form.
y-12=-7(x-4)
400
Given: SNOW is a rhombus where diagonals intersect at Y.
m<WSY = (3x + 14)°
m<OSN = (5x – 10)°
SO = x – 4
WN = x
Find: Exact perimeter of SNOW
8root13 units
400
In ∆CAT, m<C=47˚, a = 95, and t = 108, determine c.
c = 81.819
400
Given a right cylinder is attached to a right cone. The height of the cylinder is 50 in, the diameter of the base is 16 in, and the slant height of the cone is 17 in. Determine the exact volume of the figure.
3520 pi in3
500
Given: Segment WX, W(4, 8), X(7, 5); 5 left, 3 down, then reflect over x-axis. Graph and list the coordinates of W”X”.
W” (-1, -5)
X” (2, -2)
500
Given A(2, 1) B(16, 3) C(4, 12):
Determine the exact length of the altitude.
15root2/2
500
MAST is a rhombus with m<MAT = (6x + 40)° and m<SAT =(x2)˚. Determine m<S.
148˚
500
A parallelogram has a 110° angle and sides 6 cm and 10 cm long. How long is the smallest diagonal?
x = 9.745 cm
500
Given a hemisphere is attached to a right cylinder. The radius of the base is 3 cm and the height of the entire figure is 18 cm. Determine the exact total volume of the figure.
153 pi cm3