Logic
Given a conditional statement in the form
"If p, then q", what form is it's inverse?
If ~p, then ~q
Write the equation of a line that is parallel to: y = 8x + 5
Any line that has a slope of 8 and a y-intercept that is something other than 5
What is the name of a triangle that has two sides of equal length? (spelling counts;)
Isosceles
What is the area of an equilateral triangle with side length 6 inches?
9 times the square root of 3 in.2
about 15.6 in.2
Quadrilateral PQRS has a center point, T. If PR is perpendicular to QS and PR is congruent to QS, classify the quadrilateral.
Square
What is the name of the statement that switches the hypothesis and conclusion of a conditional statement?
the converse
If two lines intersect, what is their intersection?
a point
The name for a pair of angles formed by intersecting lines that share a common vertex but do not share any sides?
Vertical Angles
Triangle LMN and triangle PRQ are right triangles. If <LMN is similar to <PRQ, and the measure of <MNL = 72degrees, which of the following angles also has a measure of 72degrees?
A. <QRP B. <RPQ C. <PQR D. <PRQ
C. <PQR
Parallelogram ABCD has vertices A(0,0), B(2, 4), C(x, y), and D(5, 0). What are the coordinates of D?
(7, 4)
Which statement has a true converse?
A. If a polygon is a parallelogram, then it is also a rectangle
B. If an angle measures 120degrees, then it is obtuse.
C. If 2 angles are supplementary, then they are not complimentary.
D. If 2 lines form congruent adjacent angles, then they are perpendicular.
D. If 2 lines form congruent adjacent angles, then they are perpendicular.
The endpoints of FG are F(8, 15, -6) and G(-2, 6, 14). What is the midpoint of FG?
(3, 10.5, 4)
What is the name for half of a sphere?
Hemisphere
A building's shadow is 86 ft. long and the sun is at an angle of elevation of 60degrees above the horizon. What is the height of the building? Give your answer in simplified radical form.
86 times the square root of 3
If (2,1) is a point on circle A and the center of circle A is A(2,5), then what is the equation for circle A?
(x - 2)2 + (y - 5)2 = 16
Which conditional statement is always true?
A. If two lines intersect, they are skew.
B. In a right triangle, the remaining two angles are acute.
C. If two lines are perpendicular, the slope of both lines is the same.
D. If a figure is a square, the length of the diagonal is the side length squared.
B. In a right triangle, the remaining two angles are acute.
Which point lies on the line defined by (x, y, z) = (5, -1, 2) + t(1, 2, -1)?
A. (3, 1, 4) B. (4, -3, -1)
C. (6, -3, 1) D. (7, 3, 0)
D. (7, 3, 0)
What is the name for the sum of vectors?
resultant vector
What is the length of the hypotenuse in an isosceles right triangle that has legs of length 15 in.? Give your answer in simplified radical form.
15 times the square root of 2
A photo with dimensions 5 in. by 7 in. is enlarged by 250% using a copier. How many times greater is the area of the enlarged photo compared to the original?
6.25
What is a counterexample that makes this statement false:
n2 > n, where n is a real number
any fraction or decimal
What is the closest pint on the line y = 3x - 12 to the point (3, 7)?
(6, 6)
What is the point of concurrency called that is created by the intersection of medians?
centroid
Draw a triangular prism.
Find the perimeter of a regular hexagon if a circle with a radius of 8 units is inscribed in the hexagon. Round to the nearest tenth.
166.3 units