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18 Cards in this Set
- Front
- Back
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Supplementary Angles
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2 Angles are Supplementary if together they make up a straight angle, i.e. if the sum of their measures = 180*
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Complementary Angles
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2 Angles are Complentary if together they make a right angle, i.e. if their sum = 90*
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What are the 4 types of angles and their measures?
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Acute Angle = 0*-90*
Right Angle = 90* Obtuse Angle = 90*-180* Straight Angle = 180* |
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Slope Equation
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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 |
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Determining Slope from an Equation
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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 |
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Two lines are PERPENDICULAR if...
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...they intersect at a 90* angle
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Vertical Angles
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A pair of opposite angles formed by two intersecting line segments.
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What is the sum of the interior angles of any triangle?
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180*
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Each interior angle is supplementary to an adjacent Exterior Angle.
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Figure 1
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ALTITUDE OF A TRIANGLE
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The perpendicular distance from a vertex to the side opposite the vertex.
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VERTEX OF AN ANGLE
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The point of intersection.
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What happens when 2 parallel lines are intersected by a third line (a transversal)?
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All acute angles formed are equal, all obtuse angles formed are equal, and any acute angle is supplementary to any obtuse angle.
Figure 1: |
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AREA OF TRIANGLE
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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. |
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PERIMETER OF TRIANGLE
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The sum of the lengths of the sides.
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ISOSCELES TRIANGLE
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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. |
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EQUILATERAL TRIANGLES
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Has 3 sides of equal length and three 60* angles.
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SIMILAR TRIANGLES
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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. |
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CONGRUENT TRIANGLES
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If corresponding angles have the same measure and corresponding sides have the same length they are said to be congruent.
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