Basic Shapes



acute angle
An acute angle is an angle whose measure is greater than 0 and less than 90. 

acute triangle
An acute triangle is a triangle that has three acute angles.

<1 and <2 are adjacent
<1 and <ABC are not adjacent
Adjacent angles share a common vertex, a common side and no common interior points (they do not overlap).

Altitude for an obtuse triangle.
The altitude of a triangle is a line segment extending from any vertex of a triangle perpendicular to the line containing the opposite side.

An angle bisector is a ray whose endpoint is the vertex of the angle and which divides the angle into two congruent angles.

 


Bisector of a line segment is any line (or subset of a line) that intersects the segment at its midpoint.

<1 and <2 are complementary
Complementary angles are two angles the sum of whose measures is 90.  (Complementary angles need not be adjacent angles.)

congruent angles
Congruent angles are angles of the same measure.

Congruent segments are segments of the same length (measure).

congruent triangles
Congruent triangles are triangles whose corresponding angles and sides are congruent.  (They are exactly the same size and shape.)

equiangular triangle
An equiangular triangle is a triangle which has three congruent angles.

equilateral triangle
An equilateral triangle is a triangle with three congruent sides.

isosceles triangle
An isosceles triangle is a triangle with two congruent sides.

linear pair
A linear pair of angles are adjacent angles whose non-common sides are opposite rays (form a straight line).  The sum of the measures of the angles in a linear pair is 180.  Unlike supplementary angles, a linear pair MUST be two adjacent angles.


The median of a triangle is a line segment extending from any vertex of a triangle to the midpoint of the opposite side.

Midpoint of a line segment is the point on that line segment that divides the segment two congruent segments.

The perpendicular bisector of a segment is a line (or subset of a line) that bisects the segment and is perpendicular to the segment.

obtuse angle
An obtuse angle is an angle whose measure is greater than 90 and less than 180.

obtuse triangle
An obtuse triangle is a triangle which contains one obtuse angle.

Perpendicular lines are two lines which intersect to form right angles.

right angle
A right angle is an angle whose measure is 90.

right triangle
A right triangle is a triangle containing one right angle.

scalene triangle
A scalene triangle is a triangle with no congruent sides.
 

straight angle

A straight angle is an angle whose measure is 180.

<1 and <2 are supplementary
Supplementary angles are two angles the sum of whose measures is 180.  (Supplementary angles need not be adjacent.)

<1 and <3 are vertical angles
<2 and <4 are vertical angles
Vertical angles are two nonadjacent angles formed by two intersecting lines.

Form of equation:Formula:
Standard Form ax + by = c
Slope Intercept Form/
Y Intercept Form
y = mx + b m = slope
b = y intercept
X Intercept Form x = (y - b)/m b = y intercept
m = slope
Point-Slope Form y - y1 = m(x - x1) (x1,y1)
m = slope


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