Unit 1: Basics of Geometry Flashcards
What has no dimensions and is represented as a dot?
Point
It has one dimension and is represented with two arrowheads, but extends without end.
Through any two points, there is exactly one.
You can use any two points on it to name it.
What is it?
Line
It has two dimensions represented by a shape that looks like a floor or a wall, but extends without end.
Through any three points not on the same line, there is exactly one.
You can use three points that are not on the same line to name it.
What is it?
Plane
What do we call points that all lie on the same line?
Collinear Points
What do we call points that lie on the same plane?
Coplanar Points
It has endpoints on both ends.
What is it?
Line Segment
It has one endpoint and one arrow on the ends.
What is it?
Ray
Written: d=√((x_2-x_1)²+(y_2-y_1)²)
What is it?
Distance Formula
Line segments that have the same length are called _______.
Congruent Segments
What is this?
x2 - x1 = AB
Ruler Postulate
The ______ of a segment is the point that divides the segment into two congruent segments.
Midpoint
A _______ ________ is a point, ray, line, line segment, or plane that intersects the segment at its midpoint.
Segment Bisector
What is this?
(x1 + x2)/2 , (y1 +y2)/2
Midpoint Formula
What polygon has 3 sides?
Triangle
What polygon has 4 sides?
Quadrilateral
What polygon has 5 sides?
Pentagon
What polygon has 6 sides?
Hexagon
What polygon has 7 sides?
Heptagon
What polygon had 8 sides?
Octagon
What polygon has 9 sides?
Nonagon
What polygon has 10 sides?
Decagon
What polygon has 12 sides?
Dodecagon
A polygon is _______ when no line that contains a side of the polygon contains a point on the interior of the polygon.
Convex
A polygon that is not convex is ______.
Concave
What is this?
P = a + b + c
Triangle Perimeter Formula
What is this?
A = 1/2 bh
Triangle Area Formula
What is this?
P = 2l + 2w
Rectangle Perimeter Formula
What is this?
A = lw
Rectangle Area Formula
An _______ is a set of points consisting of two different rays that have the same endpoint.
Angle
An angle is a set of points consisting of two different rays that have the same endpoint, called the ______.
Vertex
Rays of an angle are the angle’s _______.
Sides
Measures greater than 0° and less than 90°
Acute Angle
Mesures 90°
Right Angle
Measures greater than 90° and less that 180°
Obtuse Angle
Measures 180°
Straight Angle
Two positive angle whose measures have a sum of 90°
Complementary Angles
Two positive angles whose measures have a sum of 180°
Supplementary Angles
________ ______ are two angles that share a common vertex and side, but have no common interior points.
Adjacent Angles
___________ ______ are two angles that do not share a common vertex and side.
Nonadjacent Angles
Two adjacent angles are a ______ ____ when their noncommon sides are opposite rays.
Are also supplementary angles.
Linear Pair
Two angles are ________ ______ when their sides form two pairs of opposite rays.
Vertical Angles
