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83 Cards in this Set
- Front
- Back
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The Ruler Postuale |
Using a rule to see how far away the points are from one another |
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Collinear |
Two or more points on the same line |
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Coplaner |
Points that lie on the same plane |
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Parallel |
Lines that lie on the same plane but do not intersect |
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Segment Addition Postulate |
AB+BC=AC, two smaller parts added up to one big part |
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The Distance Formula |
The distance between two points on the coordinate plane, Distance = √(x2−x1)2+(y2−y1)2 |
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midpoint |
divides a segment into two separate equal pieces, average of the x's and average of the y's |
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segment bisector |
anything that goes through the midpoint |
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angle bisector |
a ray that divides an angle into two angles that both have the same measure |
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angle addition postulate |
if a point S lies in the interior of ∠PQR, then ∠PQS + ∠SQR = ∠PQR. |
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transformation |
an object that moves or changes to form a new object |
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image |
the new shape from a transformation |
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preimage |
the shape before a transformation was made on it |
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translation |
the figure slides to a new location |
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reflection |
creates a mirror image of the original across a line of reflection |
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rotation |
turns the figure on the center of rotation |
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dilation |
a stretch or shrink of a figure with respect to a fixed point called the center of dilation, using a scale factor from preimage to image |
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rigid motion |
a transformation that changed the position of a figure without changing the size or shape |
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conjecture |
a statement that is believed to be true |
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inductive reasoning |
process of reasoning that a rule or statement is true because specific cases are true |
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deductive reasoning |
process of using logic to draw conclusions |
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conditional statement |
a statement that can be written "if p, then q", where p is the hypothesis and q is the conclusion |
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reflexive property |
a=a |
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symmetric property |
if a=b, then b=a |
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substitution property |
if a=b, then b can replace a in any expression |
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transitive property |
if a=b, and b=c, then a=c (when two things are equal to the same thing they are equal to each other) |
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complementary angles |
angles whose measures add up to 90 degrees |
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complementary angles |
angles whose measures add up to 90 degrees |
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supplementary angles |
two angles whose measures add up to 180 degrees |
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complementary angles |
angles whose measures add up to 90 degrees |
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supplementary angles |
two angles whose measures add up to 180 degrees |
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adjacent angles q |
two angles that share a common vertex and side but no interior points |
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complementary angles |
angles whose measures add up to 90 degrees |
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supplementary angles |
two angles whose measures add up to 180 degrees |
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adjacent angles q |
two angles that share a common vertex and side but no interior points |
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linear pair |
two adjacent angles that make a straight line |
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complementary angles |
angles whose measures add up to 90 degrees |
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supplementary angles |
two angles whose measures add up to 180 degrees |
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adjacent angles q |
two angles that share a common vertex and side but no interior points |
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linear pair |
two adjacent angles that make a straight line |
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opposite rays |
rays that share a common vertex |
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complementary angles |
angles whose measures add up to 90 degrees |
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supplementary angles |
two angles whose measures add up to 180 degrees |
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adjacent angles q |
two angles that share a common vertex and side but no interior points |
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linear pair |
two adjacent angles that make a straight line |
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opposite rays |
rays that share a common vertex |
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linear pair theorem |
if two angles form a linear pair then they are supplementary |
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perpendicular lines |
lines that intersect to form a right angle |
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perpendicular bisector |
line perpendicular to the segments midpoint |
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rotational symmetry |
if a rotation maps the figure onto itself |
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corresponding angles |
2 angles that have corresponding positions |
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corresponding angles |
2 angles that have corresponding positions |
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alternate interior angles |
2 angles that lie between the 2 lines and on opposite sides of the transversal |
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alternate exterior angles |
2 angles that lie outside the 2 lines and on opposite sides of the transversal |
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alternate exterior angles |
2 angles that lie outside the 2 lines and on opposite sides of the transversal |
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consecutive interior angles |
2 angles that lie between the 2 lines and on the same side of the transversal |
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corresponding angles postulate |
If 2 parallel lines are cut by a transversal, the the corresponding angles are congruent |
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corresponding angles postulate |
If 2 parallel lines are cut by a transversal, the the corresponding angles are congruent |
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alternate interior angles theorem |
If two parallel lines are cut by a transversal, the the alternate interior angles are congruent |
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corresponding angles postulate |
If 2 parallel lines are cut by a transversal, the the corresponding angles are congruent |
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alternate interior angles theorem |
If two parallel lines are cut by a transversal, the the alternate interior angles are congruent |
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alternate exterior angles theorem |
if two parallel lines are cut by a transversal then the alternate exterior angles are congruent |
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consecutive interior angles theorem |
if two parallel lines are cut by a transversal then the consecutive interior angles are supplementary |
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consecutive interior angles theorem |
if two parallel lines are cut by a transversal then the consecutive interior angles are supplementary |
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alternate exterior angles converse theorem |
if the alternate exterior angles are congruent then the lines are parallel |
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consecutive interior angles theorem |
if two parallel lines are cut by a transversal then the consecutive interior angles are supplementary |
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alternate exterior angles converse theorem |
if the alternate exterior angles are congruent then the lines are parallel |
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consecutive interior angles converse theorem |
if the consecutive interior angles are supplementary then the lines are parallel |
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corresponding angles converse theorem |
if the corresponding angles are congruent then the lines are parallel |
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corresponding angles converse theorem |
if the corresponding angles are congruent then the lines are parallel |
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alternate interior angles converse theorem |
if the alternate interior angles are congruent then the lines are parallel |
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the parallel postulate |
through a point P not on line l, there is exactly one line parallel to l |
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perpendicular bisector theorem |
if a long is on the perpendicular bisector of a segment, then it is equidistant from the end points of a segment |
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perpendicular bisector theorem |
if a long is on the perpendicular bisector of a segment, then it is equidistant from the end points of a segment |
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pythagorean theorem |
in a right triangle, the square of the length of the hypotenuse is quality to the sum of the squares of the lengths of the legs |
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converse of perpendicular bisector theorem |
If a point is equidistant from the end points of a segment, then it lies on the perpendicular bisector a of the segment |
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Angle Side Angle |
two angles and the included side are congruent |
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Angle Side Angle |
two angles and the included side are congruent |
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AAS |
two angles and a non included side are congruent |
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SSS |
all three sides are congruent |
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SAS |
Two sides and the included angle are congruent |
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SAS |
Two sides and the included angle are congruent |
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HL/ASS |
The hypotenuse and one of the legs are congruent |
