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Thm Chap 2,3,4

QuestionAnswer
All right angles are congruent Right Angles Congruence Theorem
If a triangle is equiangular, then the triangle is equilateral Corollary to the Base Angles Converse
If the corresponding side lengths of two triangles are proportional, then the triangles are similar Side-Side-Side Similarity (SSS Sim)
Vertical Angles are congruent Vertical Angles Congruence Theorem
If two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent Alternate Interior Angles Congruent
If two parallel lines are cut by a transversal, then the pairs of alternate exterior angles are congruent Alternate Exterior Angles Congruent
If two parallel lines are cut by a transversal, then the consecutive interior (co-interior) angles are supplementary Consecutive Interior (Co-Interior) Angles Supplementary
If two lines are cut by a transversal and alternate interior angles are congruent, then the two lines are parallel Alternate Interior Angles Converse
If two lines are cut by a transversal and alternate exterior angles are congruent, then the two lines are parallel Alternate Exterior Angles Converse
If two lines are cut by a transversal and co-interior angles are supplementary, then the two lines are parallel Co-Interior Angles Converse
If two lines are parallel to the same line, then they are parallel to each other Transitive for Parallel Lines
The sum of the measures of the interior angles of a triangle is 180 degrees Triangle Sum Theorem
The measure of an exterior angle of a triangle is equal to the sum of the measures of the two nonadjacent interior angles Exterior Angle Theorem
If two polygons are similar, then the ratio of their perimeters is equal to the ratios of their corresponding side lengths Perimeters of Similar Polygons Theorem
If an angle of one triangle is congruent to an angle of a second triangle and the lengths of the sides including these angles are proportional, then the triangles are similar Side-Angle-Side Similarity (SAS Sim)
If two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of a second triangle, then the two triangles are congruent Angle-Angle-Side (AAS) Congruence Theorem
If two angles and the included side of one triangle are congruent to two angles and the included side of a second triangle, then the two triangles are congruent Angle-Side-Angle (ASA) Congruence Theorem
If two sides of a triangle are congruent, then the angles opposite the sides are congruent Base Angles Theorem
If a triangle is equilateral, then the triangle is equiangular Corollary to the Base Angles Theorem
If two angles of a triangle are congruent, then the sides opposite the angles are congruent Base Angles Converse
Created by: warnockj
 

 



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