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Parallelogram – quadrilateral with both pairs of opposite sides parallel.
1. Both pairs of opposite sides are parallel.
2. Both pairs of opposite sides are congruent.
3. Diagonals bisect each other.
4. Both pairs of opposite sides congruent.
5. Consecutive angles are supplementary.
Trapezoid – a quadrilateral with exactly one pair of parallel sides.
Isosceles Trapezoid – a trapezoid with congruent legs.
If a trapezoid is isosceles, then the base angels are congruent.
Rectangle – a parallelogram with 4 right angles.
1. Both pairs of opposite sides are parallel.
2. Both pairs of opposite sides are congruent.
3. Diagonals bisect each other.
4. Both pairs of opposite sides congruent.
5. Consecutive angles are supplementary.
6. Congruent diagonals
7. 4 congruent interior angles
Rhombus – a parallelogram with 4 congruent sides.
1. Both pairs of opposite sides are parallel.
2. Both pairs of opposite sides are congruent.
3. Diagonals bisect each other.
4. Both pairs of opposite sides congruent.
5. Consecutive angles are supplementary.
6. Diagonals bisect the opposite angles
7. Diagonals are perpendicular
8. 4 congruent sides
CPCTC - Corresponding Parts of Congruent Triangles are Congruent
Right Angle – An angle whose measure is 90 degrees.
Congruent Triangles – Triangles in which all the corresponding sides and corresponding angles are
congruent.
Congruent Angles – Angles that have the same measure.
Congruent Segments – Segments that have the same length.
Parallel Objects – Two objects that will never intersect. Lines and segments will have same slope.
Four ways to prove two lines are parallel that are cut by a transversal.
1. If Alternate Interior angles congruent, then lines are parallel.
2. If Alternate Exterior angles congruent, then lines are parallel.
3. If Corresponding angles congruent, then lines are parallel.
4. If Same Side Interior angles are supplementary, then lines are parallel.
Supplementary angles – two angles whose measures sum up to 180 degrees.
Four angle relationships we know if parallel lines are cut by a transversal.
1. If lines cut by a transversal are parallel, then Alternate Interior angles congruent.
2. If lines cut by a transversal are parallel, then Alternate Exterior angles congruent.
3. If lines cut by a transversal are parallel, then Corresponding angles congruent.
4. If lines cut by a transversal are parallel, then Same-Same Interior angles are supplementary.
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