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18 Cards in this Set

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Supplementary Angles
2 Angles are Supplementary if together they make up a straight angle, i.e. if the sum of their measures = 180*
Complementary Angles
2 Angles are Complentary if together they make a right angle, i.e. if their sum = 90*
What are the 4 types of angles and their measures?
Acute Angle = 0*-90*
Right Angle = 90*
Obtuse Angle = 90*-180*
Straight Angle = 180*
Slope Equation
Rise/Run = ChangeinY/ChangeinX
Example:What is the slope of the line that contains the points (1,2) and (4,-5)?
Slope = -5-2/4-1 = -7/3
Determining Slope from an Equation
Put the equation into the slope-intercept form:
y = mx + b, where m = slope
Example: 3x + 2y = 4
y = -3/2x, so m = -3/2
Two lines are PERPENDICULAR if...
...they intersect at a 90* angle
Vertical Angles
A pair of opposite angles formed by two intersecting line segments.
What is the sum of the interior angles of any triangle?
180*
Each interior angle is supplementary to an adjacent Exterior Angle.
Figure 1
ALTITUDE OF A TRIANGLE
The perpendicular distance from a vertex to the side opposite the vertex.
VERTEX OF AN ANGLE
The point of intersection.
What happens when 2 parallel lines are intersected by a third line (a transversal)?
All acute angles formed are equal, all obtuse angles formed are equal, and any acute angle is supplementary to any obtuse angle.
Figure 1:
AREA OF TRIANGLE
1/2BASE X HEIGHT = 1/2BH
ALTERNATIVE METHOD: IF RIGHT TRI: 1/2L1(L2); i.e. 1/2(leg1)(leg2)

P.S. In a Right Tri, we call the 2 sides that form the 90* angle legs.
PERIMETER OF TRIANGLE
The sum of the lengths of the sides.
ISOSCELES TRIANGLE
Has 2 sides of equal lengths.
The 2 equal sides are called legs.
The 3rd leg is the base.
The 2 angles opposite the legs have the same measure.
EQUILATERAL TRIANGLES
Has 3 sides of equal length and three 60* angles.
SIMILAR TRIANGLES
Triangles are similar if they have the same shape--if corresponding angles have the same measure.
In similar tris, corresponding sides have the same ratio.
CONGRUENT TRIANGLES
If corresponding angles have the same measure and corresponding sides have the same length they are said to be congruent.