Define an angle.
What is: two rays connected by a vertex/endpoint?
What is an acute angle?
What is: an angle that is 1-89 degrees/an angle that is less than 90 degrees?
What is the formula for area of a circle?
What is: area = (pi) x (radius2) ?
Define equiangular.
What is: all angles are the same/congruent in a polygon.
What is the formula for the area of a triangle?
What is: a = 1/2bh ?
True or false: complementary angles are three angles that add up to 90 degrees.
What is: complementary angles are TWO angles that add up to 90 degrees, not three?
Define adjacent angles.
What is: two angles that share a common vertex and side?
True or false: you can not measure the perimeter of a circle.
True or false: In order for a polygon to be regular, it needs to be equilateral and equiangular.
What is: true?
Define supplementary angles.
What is: 2 angles that add up to 180 degrees?
Angle ABD and angle DBC are supplementary.
Angle ABD is 123 degrees.
Find the measure of angle DBC.
What is: 57 degrees?
True or false: equilateral means all sides are congruent.
What is: true?
A rectangle has a length of 6 in. and a width of 8 in.
Find the area. (don't forget units!)
What is: 48 in.2 ?
What is the name of a 10-sided polygon?
What is: a decagon?
What is the name of a polygon that has 26 sides?
What is: a 26-gon?
Angles DEG and angle GEF are supplementary.
Angle DEG is (18x - 9) degrees.
Angle GEF is (4x + 13) degrees.
Solve for x.
What is: x = 8?
Define a concave polygon.
What is: a polygon that is not convex; also called concave ?
A triangle has side lengths of 4 m (base), 9 m, and 10 m (height).
Find the perimeter and area (don't forget units!).
What is: perimeter = 4 + 9 + 10 = 23 m
Area = 1/2 (4 m)(10 m) = 1/2 (40) = 20 m2 ?
Solve for x.
What is: x = 7?
True or false: the diameter of a circle is 1/2 of the radius.
What is: false. The diameter is 2x the radius?
Angle ABD measures 154 degrees. Ray C is the bisector, splitting the angle into angles ABC and angle CBD.
What is the measure of each angle?
What is: 77 degrees?
Define perimeter.
What is: the distance around a figure?
A circle has a radius of 7.5 cm.
Find the area and circumference.
What is: a = (pi) x (7.5 cm2)
a = 176.63 cm2
c = 2 x (pi) x r
c = 2 x (pi) x (7.5 cm) = 47.1 cm
A regular octagon has side lengths AB and BC.
Side AB is 12 - 5x cm.
Side BC is 4x + 39 cm.
Solve for x and find the length of side AB.
What is: x = -3; Side AB is 27 cm.
What does an angle bisector do?
What is: splits an angle into two congruent angles?