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Math
Geometry
Unit 1 Terminology: Geometry
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Terms in this set (36)
Point
A location with no size or shape
Line
made up of points with no thickness or width
Line segment
A measurable part of a line consisting of two endpoints
Ray
A line that extends indefinitely in one direction
Plane
a flat surface made up of points and extends infinitely in all directions
Collinear
points that lie on the same line
Non-collinear
Points that don't lie on the same line
Coplanar
points that lie on the same plane
non-coplanar
points that do not lie on the same plane
Congruent segments
If two segments have the same length, then they are congruent
Segment Addition Postulate
If A, B, and C are collinear points and B is between A and C, then AB + BC = AC
Distance formula
The formula used to find the distance between two points on a coordinate plane
Midpoint formula
The formula used to find the midpoint between two endpoints
Segment bisector
a segment, line, or plane that intersects a segment at its midpoint
directed line segment
A line segment with an associated direction
Horizontal component
The "run" of a directed line segment.
Vertical component
The "rise" of a directed line segment.
Distance Formula
d = √[( x₂ - x₁)² + (y₂ - y₁)²]
midpoint formula
(x₁+x₂)/2, (y₁+y₂)/2
Perpendicular
two lines that intersect at a 90 degree angle (right angle)
Perpendicular bisector
A line, segment, or ray perpendicular to a segment at its midpoint
Parallel lines
two lines that never intersect (symbol: | |)
Angle
the intersection of two rays at an endpoint
Vertex
The common endpoint of an angle. (Where the two rays/sides intersect)
Right angle
an angle with a degree measure of 90
Acute angle
an angle with a degree measure less than 90
Obtuse angle
an angle with degree measure greater than 90
Straight angle
An angle with a degree measure of 180
Congruent angles
two angles that have the same measure are congruent
Adjacent angles
Two angles that share a common side and vertex ("next to" each other)
Angle Addition Postulate
If <ABD & <DBC are adjacent, then <ABD + <DBC = <ABC
Angle bisector
A line or ray that divides an angle into two equal parts
Vertical angles
two angles directly across from each other on intersecting lines
Complementary angles
Two angles with measures that sum to 90
*DO NOT have to be adjacent
supplementary angles
two angles with measures that sum to 180
* DO NOT have to be adjacent
Linear pair
Adjacent angles that are supplementary. Combined, they form a straight line.
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Verified questions
GEOMETRY
Rectangle ABCD has vertices A(2, 2), B(4, 2), C(4, -4), and D(2, -4). Draw rectangle ABCD. Then draw a dilation of rectangle ABCD using a scale factor of 5/4. Label the image PQRS.
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Jamie purchased 3 blouses, 3 jackets, and 2 skirts. How many different outfits using a blouse, a jacket, and a skirt are possible?
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Use a ruler to draw segments of 2 cm, 4 cm, and 5 cm. Then construct each triangle with the given side measures, if possible. If is not possible, explain why not. 2 cm, 2 cm, and 4 cm
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Find the distance from point A to the given line. A(2, -1), y = -x + 4.
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