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Chapter 5 vocabulary
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Gravity
Terms in this set (31)
ABCD Theorem
angle measure, betweenness, collinearity, and distance are preserved in isometries.
congruent figures
two figures are congruent figures if an only if the figure is the image of another figure under an isometry
Directly Congruent
when figures are congruent and have the same orientation
Polygon Exterior Angle Theorem
the sum of the measures of the exterior angles of a convex n got is 360
Exterior Angle Theorem for Triangles
in a triangle, the measure of an exterior angle is equal to the sum of the measures of the interior angles at the other two vertices of the triangle
Polygon-Sum Theorem
the sum of the measures of the angles of a convex n-gon is (n-2) * 180
Exterior angle
Uniqueness of Parallels Theorem (Playfair's Parallel Postulate)
alternate interior angles are congruent
alternate exterior angles are congruent
same side interior angles are supplementary
Triangle- Sum Theorem
the sum of the measures of the angles of any triangles is 180
Unique Circle Theorem
there is exactly on circle through three given non collinear points
Perpendicular Bisector Theorem
if a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment
Same-Side Interior Angles Theorem
if two lines are cut by a transversal so that the same side interior angles are supplementary then the lines are parallel.
AIA Theorem
...
CPCF Theorem
if two figures are congruent, then any pair of corresponding parts are congruent
Angle Congruence Theorem
two angles are congruent if and only if they have the same measure
Segment Congruence Theorem
two segments are congruent if and only if they have the same length
Transitive Property
if f=g and g=h then f=h
Symmetry Property
if f=g, then g=f
Alternate Exterior Theorem
if two lines are cut by a transversal so that a pair of alternate exterior angles are congruent, then the lines are parallel
Oppositely Congruent
when figures are congruent and have opposite orientation
Reflexive Property
f=f
some justifications that angles are congruent
corresponding angles postulate, definition of angle bisector, cpcf theorem, angle congruence theorem, vertical angles theorem, definition of congruence
some justifications that segments are congruent
definition of a bisector, definition of a midpoint, cpcf theorem, segment congruence theorem, definition of a circle, definition of congruence
corresponding angles postulate
if lines intersected by a traversal are parallel, then corresponding angles are congruent
corresponding angles
vertical angles
linear pair
bisector
if a figure is a bisector of a segment, it divides the segment into two congruent segments
circle
if a figure is a circle, then its radii are congruent
Definition of reflection
a transformation in which each point is mapped onto its reflection image over a line or a plane; also called flip
Figure Transformation Theorem
If a figure is determined by a certain points, then its transformation image is the corresponding figure determined by the transformation images of those points.
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