Geometry

Question 1

Line

Answer 1

a. Refers to a straight line that extends without end in both directions.

Question 2

Line segment

Answer 2

a. The part of the line denoted by XY

Question 3

Intersecting lines and angles

Answer 3

a. If two lines intersect, the opposite angles are called vertical angles and have the same measure.

Question 4

Perpendicular lines

Answer 4

a. If two lines intersect at right angles, the lines are perpendicular.

Question 5

Parallel lines

Answer 5

a. If two lines that are in the same plane do not intersect, the two lines are parallel.
b. If two lines are intersected by a third lined then vertical angles are created that are equal on both lines.

Question 6

Define polygon

Answer 6

a. A closed plane figure formed by three or more line segments, called the sides.
b. Each side intersects exactly two other sides at their endpoints, the points of intersection are called verticies.
c. Convex polygon, each interior angle has a measure of less than 180 degrees.

Question 7

Universal summation rule ( Triangle )

Answer 7

a. The sum of the length of any two sides is greater than the remaining side.

Question 8

Equilateral triangle

Answer 8

a. Has all sides of equal length. All angles are of equal measure.

Question 9

Isosceles triangle

Answer 9

a. Has at least two sides of the same length. If two sides of a triangle have the same length then the two angles have the same measure.

Question 10

Pythagorean theorem

Answer 10

a. The square of the length of the hypotenuse is equal to the sum of the squares of the legs. ( Right Triangles )

Question 11

Right triangles

Answer 11

a. Any triangle in which the lengths of the sides are in the ratio 3:4:5
b. a^2 + b^2 = c^2

Question 12

45 – 45 – 90 Triangle

Answer 12

a. The length of the sides are in the ratio 1:1: Square root of 2

Question 13

30 – 60 – 90 Triangle

Answer 13

a. The lengths of the sides are in the ratio 1:Square root of 3:2

Question 14

Area of a triangle

Answer 14

a. If not an equilateral triangle then ½ * b * h

Question 15

Parallelogram

Answer 15

a. A quadrilateral in which both pairs of opposite sides are parallel. The opposite sides also have equal length.
b. The diagonals bisect each other such that each side of single diagonal equals the other side.
c. The area is equal to the length of the altitude * the length of the base.

Question 16

Rectangles

Answer 16

a. A parallelogram with right angles is a rectangle, and a rectangle with all sides of equal length is a square.
b. The diagonals are equal and apart of a right triangle.

Question 17

Trapezoids

Answer 17

a. Only two sides are parallel

b. Area is calculated; ½ * (sum of bases)(height)

Question 18

Circles

Answer 18

a. Is a set of points in a plane that are all located the same distance from a fixed point (the center of the circle).
b. A chord of a circle is a line segment that has its endpoints on the circle. A chord that passes through the center is a diameter.
c. A radius is a segment from the center of the circle to a point on the circle.

Question 19

Circumference

Answer 19

a. Is the distance around a circle.

b. 2 * pie * r

Question 20

Area of a Circle

Answer 20

a. Pie * r^2

Question 21

Arc in a circle

Answer 21

a. In a complete rotation = 360 degrees
b. The length of an arc is equal to x / 360 * the circumference of the circle where x is equal to the angle within the arc.

Question 22

Tangent to a circle

Answer 22

a. A line that has exactly one point in common with a circle is said to be tangent to the circle.
b. A radius or diameter with an endpoint at the point of tangency is perpendicular to the tangent line. ( therefore there is a right angle ).

Question 23

Triangles and circles

Answer 23

a. If a triangle is inscribed in a circle so that one of its sides is a diameter of the circle, the triangle is a right triangle.