Miscellaneous
If AB = 30, then the whole distance is 30.
4/5 of the distance would be found by multiplying:
4/5(30) = 24.
What is the definition of collinear?
3 or more points that lie on the same line.
Given that angles 1 and 2 are complementary and that angle 1 = 34*. Find the measure of angle 2.
90-34 = 56*
Find the side length of a square whose perimeter = 20 in.
5 inches
Find the area of a square with side length 7in.
49 inches squared
What is the formula for Circumference of a circle? Area?
C = (2)(pi)(r) = (pi)(d)
A = (pi)(r^2)
What does the Segment Addition Postulate say?
It says that if 3 points, A, B, and C are collinear, with B between A and C, then AB + BC = AC.
Essentially, the two smaller segments combine to make the whole segment.
What kind of angles share a common vertex and a common side?
Adjacent Angles
Find the perimeter of a regular heptagon whose side lengths are 10 cm each.
P=7(10) = 70 in
Find the area of a rectangle with a length of 3 feet and a width of 4.5 feet.
13.5 feet squared
Given segment RS with endpoint R(4,-3) and midpoint M(0,4). Find endpoint S.
S(-4,11)
Define "midpoint".
If <1 and < 2 are vertical angles and <1 = 30 degrees, what is the measure of <2?
30 degrees
Vertical Angles are congruent
Find the perimeter of an equilateral triangle whose side lengths are 6 feet.
P=6+6+6=18 feet
Find the area of a triangle with a height 5mm and a base of 6mm.
15 mm squared
Given segment XY with endpoints X(2,-3) and Z(6, 7). Find midpoint M.
M(4,2)
If two lines intersect, they intersect at a.... If two planes intersect, they intersect at a....
point, line
Classify the angles. Angle 1 = 78* Angle 2 = 130* Angle 3 = 90* Angle 4 = 180*
Angle 1 = acute, Angle 2 = obtuse, Angle 3 = right, Angle 4 = straight
Find the circumference of a circle whose radius is 7 in. Use 3.14 for pi.
C=2(3.14)(7) = 43.96 in
Find the area of a circle with a radius of 8ft. Use 3.14 for pi.
200.98 inches squared
Find the exact (radical form) distance between the points. A(13,-7) B(3,-2)
5 square roots of 5
Opposite rays include 3 things. What are they?
They share a common endpoint. They are on the same line. They go on forever in opposite directions.
Ray XY is an angle bisector of <WXZ. If <WXY = 2x + 1 and <YXZ = 5x, how would you find x?
You would set up the equation
2x +1 = 5x because of the definition of angle bisector.
How much fencing would it take for a yard that has dimensions of 30ft by 50ft? How much would it take to fence in the entire yard if fencing costs $1.25 per foot? YOU MUST ANSWER BOTH CORRECTLY TO RECEIVE POINTS!
P=2l+2w = 2(30) + 2(50) = 160 feet 160(1.25) = $200
A room is 18 feet long and 10.8 feet wide. Carpet costs $3.40 per square foot. How much does it cost to carpet the room?
$660.96