Basic Shapes |
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![]() acute angle |
An acute angle is an angle whose measure is greater than 0° and less than 90º. |
![]() 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. |
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An angle
bisector is a ray whose endpoint is the vertex of the angle
and which divides the angle into two congruent angles.
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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 90º. (Complementary angles need not be adjacent angles.) |
![]() congruent angles |
Congruent angles are angles of the same measure. |
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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 180º. Unlike supplementary angles, a linear pair MUST be two adjacent angles. |
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The median of a triangle is a line segment extending from any vertex of a triangle to the midpoint of the opposite side. |
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Midpoint of a line segment is the point on that line segment that divides the segment two congruent segments. |
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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 90º and less than 180º. |
![]() obtuse triangle |
An obtuse triangle is a triangle which contains one obtuse angle. |
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Perpendicular lines are two lines which intersect to form right angles. |
![]() right angle |
A right angle is an angle whose measure is 90º. |
![]() 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 180º. |
![]() <1 and <2 are supplementary |
Supplementary angles are two angles the sum of whose measures is 180º. (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 |