Geometry

Question 1

Complementary Angles

Answer 1

Two angles that have measures that add up to 90°, angles that together form a right angle. They do not have to share a vertex.

Question 2

Supplementary Angles

Answer 2

Two angles that have measures that add up to 180°, angles that together form a straight angle. They do not have to share a vertex.

Question 3

Congruent Angles

Answer 3

Two angles that have equal measure

Question 4

Vertical Angles

Answer 4

Two opposite angles formed by two intersecting lines. Always have equal measure.

Question 5

Corresponding Angles

Answer 5

Angles that lie in the same position but at different points of intersection of the transversal. They are congruent when the lines intersected by the transversal are parallel.

Question 6

Alternate Interior Angles

Answer 6

One is to the left of the transversal , one is to the right, and both are between (inside) the pair of lines. They are congruent when the lines intersected by the transversal are parallel.

Question 7

Same-side Interior Angles

Answer 7

Both are on the same side of the transversal and both are between the pair of lines. They are supplementary when the lines intersected by the transversal are parallel.

Question 8

Area of a Triangle

Answer 8

Half the area of a rectangle with the same base and height.

A=1/2bh

Question 9

Area of a parallelogram

Answer 9

Area of a rectangle with the same base and height.

A=bh

Question 10

Area of a Trapezoid

Answer 10

Found by averaging the two bases and multiplying by the height. A=1/2(b1 + b2)h

Question 11

Congruent figures

Answer 11

Figures that have the same shape and are the same size. They must be similar figures and their side lengths must have a common ratio of 1

Question 12

Law of Sines

Answer 12

For any triangle ABC, the ratio of the sine of an angle to the length of the side opposite the angle is constant. So:
(sin(measure of angleA)/length of side a) = (sin(measure of angleB)/length of side b)
And so on…

Question 13

Law of Cosines

Answer 13

When given the lengths of any two sides, such as a and b, and the angle between them, angle C, the length of the third side, in this case c, can be found using this relationship:
c^2= a^2 + b^2 - 2abcosC

Question 14

Volume of a Pyramid

Answer 14

In general, it is one-third of the volume of the prism with the same base and height.
V = 1/3(base area)(height)

Question 15

Volume of a Cylinder

Answer 15

Area of base • h