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matheocvoc
| Question | Answer |
|---|---|
| property of perpendicular lines theorem | if two coplanar lines are perpendicular to eh same line they are parallel to each other |
| right angles theorem | all right angles are congruent |
| adjacent congruent angles theorem | if two lines intersect to form a pair of adjacent congruent angles then the lines are perpendicular |
| alternate interior angles theorem | if two parallel lines are cut by a transversal then the pairs of alternate interior angles are congruent |
| consecutive interior angles theorem | if two parallel lines are cut by a transversal then the pairs of consecutive interior angles are supplementary |
| alternate exterior angles theorem | if two parallel lines are cut by a transversal then the pairs of alternate exterior angles are congruent |
| perpendicular transversal theorem | if a transversal is perpendicular to one of two parallel lines then it is perpendicular to the second |
| properties of congruent triangles theorem | every triangle is congruent to itself if ABC is congruent to PQR the PQR is congruent to ABC if ABC is congruent to PQR and PQR is congruent to TUV then ABC is congruent to TUV |
| triangles sum theorem | the sum of the measures of the interior angles of a triangle is 180 degrees |
| third angles theorem | if two angles of one triangle are congruent to two angles of a second trriangle then the third angles are also congruent |
| acute angles theorem | the acute angles of a right triangle are complementary |
| angle-angle-side congruence theorem | if two angles and a no included side of one triangle are congruent to two angles and the correspponding side of a second triangle then the two triangles are congruent |
| base angles theorem | if two sides of a triangle are congruent then the angles opposite of them are congruent |
| corollary to base angles theorem | if a triangle is equilateral then it is also equalangular |
| angle-side theorem | if two angles of a triangle are congruent then the sides opposite them are congruent |
| corollary to angle side theorem | if a triangle is equiangular then it is also equilateral |
| hypotenuse leg congruence theorm | if the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and the leg of a second right triangle then the two triangles are congruent |
| CPCTC theorem | corrosponding parts of congruent triangles are congruent |
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