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All main topics / Mathematics / Geometry

Geometry (20 Cards)

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1
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If the three sides of one triangle are congruent to the three sides of another triangle, then the two triangles are congruent.
Side-Side-Side Postulate
2
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The sum of the measures of of the angles of a triangle is 180.
Triangle Angle-Sum Theorem
3
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The sum of the measures of the angles of an n-gon is (n-2) 180.
Polygon Exterior Angle-Sum Theorem
4
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The sum of the lengths of any two sides of a triangle is greater than the length of the third side.
Triangle Inequality Theorem
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If a segment joins the midpoint of two sides of a triangle, then the segment is parallel to the third side, and is half its length.
Triangle Midsegment Theorem
6
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If a point is on the perpendicular bisector of a segment, then it is equdistant from the endpoints of the segment.
Perpendicular Bisector Theorem
7
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If three points A,B and C are collinear and B is between A and C, then AB+BC=AC
Segment addition postulate
8
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If two lines and a transversal from corresponding angles that are congruent, then the two lines are parallel.
converse of the corresponding angles postulate
9
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If a transversal intersects two parallel lines, then corresponding angles are congruent.
corresponding angles postulate
10
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If two angles are complements of the same angle(or of congruent angles), then the two angles are congruent.
congruent complements theorem
11
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If two sides of a triangle are congruent, then the angles opposite those sides are congruent.
Isosceles triangle theorem
12
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If the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and a leg of another right triangle, then the triangles are congruent.
Hypotenuse-Leg Theorem
13
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If a conditional is true and its hypothesis occurs, its conclusion is guarenteed. In symbolic form: If p-->q is a true statement and p is true, then q is true.
Law of detachment
14
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If a transversal intersects two parallel lines, then alternate interior angles are supplementary.
Same-side interior angles theorem
15
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The measure of each exterior angle of a triangle equals the sum of the measure of its two remote interior angles.
Triangle exterior angle theorem
16
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Vertical angles are congruent.
Verticle angles theorem
17
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If a point is on the bisector of an angle, then the point is equidistant from the sides of the angle.
Angle Bisector Theorem
18
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If p>q ad q>r are true statements, then p-->r is a true statement.
Law of Syllogism
19
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Define CPCTC.
Corresponding Parts of Congruent Triangles are Congruent
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Angles of a polygon that share a side.
Consecutive Angles
Flashcard set info:
Author: CoboCards-User
Main topic: Mathematics
Topic: Geometry
Published: 12.01.2011
 
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