Fill in the blank:
Two points that lie in the same line are (a).
Two points that lie in the same plane are (b).
(a) collinear
(b) coplanar
In the figure, which line is the transversal?
line t
The triangle angle sum is
180 degrees
Find the area of a trapezoid with height 5 inches, and bases 6 inches and 10 inches.
40 in2
Name one of each of the following in circle O:
radius, diameter, chord, secant, tangent, point of tangency
*varying answers*
If angle A measures 47 degrees, then its complement measures
43 degrees
In the figure, angles 7 and 8 are called
Two angles of a right triangle measure 3x+ 10 degrees and 2x+15 degrees. Find the value of x and the measure of each angle.
x = 13, 49 degrees, and 41 degrees
Find the area of a circle whose circumference is 10 pi m.
25 pi m2
Fill in the blanks:
The measure of a central angle is (a) the measure of the intercepted arc. The measure of an inscribed angle is always (b) the measure of the intercepted arc.
(b) one-half
If angle B measures 142 degrees then its supplement measures
38 degrees
In the figure, which line is the transversal for angles 10 and 12? What kind of angles are they?
line m, corresponding angles
Solve for x and y. Give your answers in simplest radical form:
x= 3 sqrt 3
y = 6
Find the area of a square whose diagonal is 7 square root 2 ft.
49 ft2
Fill in the blank:
If a quadrilateral is inscribed in a circle, then the opposite angles are (c)
(c) supplementary
Solve for x:
x = 7
In the figure, assume that line l and line m are parallel. If the measure of angle 2 is 4x+45 and the measure of angle 3 is 6x+25, what is x? What is the measure then of angle 5?
x = 11, measure angle 5 = 89
Write the sin, cos, and tan ratios for angle C and angle T:
sin C = 24/25 sin T = 7/25
cos C = 7/25 cos T = 24/25
tan C = 24/7 tan T = 7/24
The volume of a prism is 3168 yd3 and the area of its base is 288 yd2. Find the height of the prism.
11 yd
Solve for x:
x = 1.5
Ray AB bisects angle CAD. Solve for x:
x = 8
Determine whether the pair of lines with the given points are parallel, perpendicular, or neither (hint: find the slope of each line)
Line AB with A(5, 7) and B(2, 6)
Line JK with J(2, 8) and K(4, 2)
slope AB = 1/3
slope JK = -3
They are perpendicular
Find b, c, and the measure of angle A. Round each side length to the nearest hundredth.
b =3.73, c= 8.83, angle A = 65
Find the surface area of the triangular prism shown:
60 cm2
Solve for x:
x = 2