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Proof Reasons - 3
Unit 3 (Triangle Congruences)
| Question | Answer |
|---|---|
| Midpoint | A midpoint divides a segment into 2 congruent segments |
| Segment Bisector | A segment bisector intersects a segment at its midpoint |
| Midpoints | If two segments have the same midpoint, they bisect each other |
| Angle Bisector | An angle bisector divides an angle into 2 congruent angles |
| Vertical Angles | Intersecting lines form congruent vertical angles |
| Perpendicular Lines | Perpendicular lines intersect to form right angles |
| Right Angles | Right angles are congruent |
| Linear Pair | If 2 angles form a linear pair, they are supplementary |
| Congruent Supplements | If 2 angles are congruent, their supplements are congruent |
| Corresponding Angles | If 2 parallel lines are cut by a transversal, corresponding angles are congruent. |
| Alternate Interior Angles | If 2 parallel lines are cut by a transversal, alternate interior angles are congruent. |
| Alternate Exterior Angles | If 2 parallel lines are cut by a transversal, alternate exterior angles are congruent. |
| Altitude | An altitude of a triangle is drawn from a vertex, perpendicular to the opposite side. |
| Median | A median of a triangle is drawn from a vertex to the midpoint of the opposite side. |
| Midsegment of a Triangle (1) | A midsegment of a triangle joins the midpoints of two sides of a triangle. |
| Midsegment of a Triangle (2) | The mid-segment of a triangle is parallel to the third side of the triangle. |
| Isosceles Triangle (1) | If a triangle is isosceles, two sides of the triangle are congruent. |
| Isosceles Triangle (2) | If a triangle is isosceles, the base angles are congruent. |
| Equilateral Triangle (1) | If a triangle is equilateral, all three sides of the triangle are congruent. |
| Equilateral Triangle (2) | All equilateral triangles are also equiangular. |
| Isosceles Triangle (3) | If two sides of a triangle are congruent, the triangle is isosceles. |
| Equilateral Triangle (3) | If all three sides of a triangle are congruent, the triangle is equilateral. |
| Right Triangle | If a triangle has one right angle, it is a right triangle. |
| ∠A≅∠A | Reflexive Postulate |
| If ∠A≅∠B and ∠B≅∠C, then ∠A≅∠C | Transitive Postulate |
| If ∠A≅∠B and ∠A≅∠C and ∠B≅∠D, then ∠C≅∠D | Substitution Postulate |
| If EF ≅ BG and FG ≅ FG then EF + FG ≅ BG + FG so EG ≅BF | Addition Postulate |
| If EG ≅ BF and FG ≅ FG then EG - FG ≅ BF - FG so EF≅BG | Subtraction Postulate |
Created by:
MrsDavey
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