WGU: MEE3 - D127 Unit One: Geometric Shapes and Properties questions and answers ( GUARANTEED SUCCESS )

Point

A position in space, has no size. Is named/defined by its location

Line Segment

The shortest distance between two points; completely straight with two endpoints. Doesn't extend to infinity, is part of a line

Ray

A line with a single endpoint (or point of origin) that extends infinitely in the other direction

Line

A straight one-dimensional figure that extends infinitely in both directions

Angle

The amount of rotation needed to make one line segment, ray, or line. Measured in degrees

Degree

The units in which angles are measured

Acute Angle

An angle less than 90*

Right Angle

A perfect 90* angle

Obtuse Angle

An angle greater than 90 but less than 180

Straight Angle

An angle that measures 180*

Reflex Angle

An angle greater than 180*

Supplementary Angles

Two angles whose sum is equal to 180*

Complementary Angles

Two angles whose sum is equal to 90*

Polygon

A closed figure with at least three straight sides

Vertex (Plural Vertices)

A point where two line segments meet to form an angle

Regular Polygon

A polygon with equal sides and equal angles

Irregular Polygons

A polygon whose sides are not all equal and whose angles have different measures

Interior Angle

An angle inside of a polygon that is formed by two of its sides

Formula for Sum of Interior Angles

180*(n-2)

n=number of sides

Isosceles Triangle

A triangle with two equal sides and two equal corresponding angles

Equilateral Triangle

A triangle with three equal sides and three angles of 60* each

Scalene Triangle

A triangle with sides of three different lengths and angles with three different measures

Triangle Inequality Theorem

For every triangle, the sum of any two sides is ALWAYS greater than the third side:

a+b=x>c

a+c=x>b

b+c=x>a

Diagonal

A line segment with vertices as endpoints that is not an edge

Congruent

Figures with the same size and shape

Bisect

To divide into equal parts

Parallel

Lines that are beside each other but NEVER touch

Perpendicular

Describes lines intersecting each other to form a right angle

Adjacent

Next to

Right Triangle

One angle measures 90*

Hypotenuse

The largest side of a right triangle, opposite of the right angle. Only a right triangle has a hypotenuse

Leg

The sides of a right triangle not opposite of the right angle

Pythagorean Formula

a^2 + b^2 = c^2

Calculating Distance

Use Pythagorean Formula

Circle

The set of all points that are equal distances from a point

Center

Literally the center of a circle

Circumference

The distance AROUND the circle

Circumference Formula

C = (pi)d

Radius

Half the distance from the center of the circle to the outer edge

Radius Formula

C = 2(pi) r (Always half of the diameter or circumference)

Tangent

A straight line that touches a circle at only one point

Area

The amount of space inside of a circle

Area Formula

A = (pi)r^2

Arc

Part of the circumference of a circle

Sector

A portion of a circle defined by two radii(radius) and an intercepted arc

Inscribed Angles

Angles whose vertices are on the circumference of a circle

Central Angle

Angles whose vertices are on the center point of the circle

Arc Formula

Central Angle/360* = Arc Length/Circumference (proportion)

Area of Sector Formula

Central Angle/360* = Area of Sector/Area of Circle (proportion)

Intercepted Arc

A section of the circumference of a circle that lies between two line segments

Inscribed Polygon

A polygon whose vertices all lie on a circle

Chord

A line connecting two points on the circle