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28 Cards in this Set
- Front
- Back
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Rotational Symmetry |
A figure whose pre-image that can be rotated less than 360 about a point and results in the exact same image. |
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Segment Addition |
If point B is on and between points A and C, then AB + BC = AC |
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Line of Symmetry |
Can be drawn through a plane figure so that the figure on one side is the reflection image of the figure on the opposite side. |
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Reflection |
A transformation representing a flip of the figure over a point, line or plane. |
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Isometry |
A transformation that does not change lengths, distances, or angle measures of the original object. |
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Linear Pair Postulate |
If Angle 3 and Angle 4 are a linear pair, then they are supplementary |
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Defn of Linear Pair |
Angle 3 and Angle 4 are a linear pair |
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Defn of supplementary angles |
measure of angle 3 + measure of angle 4 = 180 |
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Rotation |
A transformation that turns every point of a pre-image through a specified angle and direction about a fixed point. |
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Dilation |
A transformation determined by a center point, C and a scale factor, k. |
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Translation |
A transformation that slides points so that each point of a figure moves the same distance in the same direction. |
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Scale Factor |
The ratio of the distance from the center of a dilation to a point on the image TO the distance from the center to the corresponding point on the pre-image |
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New Statement: If angle 4 is acute, then it is 35 degrees.
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The converse of: If angle 4 = 35, then the angle is acute |
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New Statement: If an angle is not acute, then it doesn't = 35 degrees.
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The contrapositive of: If an angle = 35, then the angle is acute. |
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New Statement:If angle 4 doesn't equal 35, then it is not acute.
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The Inverse of:If angle 4 = 35, then the angle is acute. |
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A figure has line symmetry if |
you can draw a line so that the figure to one side of the line is a reflection of the gire on the other side of the line. |
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Reflection over the y-axis.
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A transformation of Pre-image: (x,y)Image: ( - x, y) |
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Reflection over the x-axis.
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A transformation of Pre-image: (x,y)Image: (x, -y) |
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Dilation with a scale factor of 2.
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A transformation of Pre-image: (x,y) Image: (2x, 2y) |
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Rotation of 180 degrees
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A transformation of Pre-Image: (x,y) Image: (-x, -y) |
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Rotation of 90 degrees counter-clockwise. |
Rotation of 90 degrees counter-clockwise. A transformation of Pre-Image: (x,y) Image: (y,-x) |
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Same Side Exterior |
Two angles that lie outside the two lines on the same side of the transversal. |
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Alternate Exterior |
Two angles that lie outside the two lines and on opposite sides of the transversal. |
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Contrapositive: If not q, then not p.~q => ~p
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The logically equivalent statement toIf p, then q (p=>q) |
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Image |
The new point or figure after a transformation. |
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Pre-Image |
The original point or figure before a transformation |
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Reflection, Translation, or Rotation |
Types of transformations that result in an isometry |
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Dilation |
A transformation that does not result in an isometry |
