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4.08 Quiz Coordinate Proofs

Question: Isosceles Triangle

Answer: 2 Segments are congruent —— distance formula

Question: Equilateral Triangle

Answer: 3 segments are congruent—- distance formula

Question: Right Triangle (two ways)

Answer: a. Pythagorean Theorem

b. 2 sides are perpendicular (use slope)

Question: Parallelogram (four ways- pick one)

Answer: a. both pairs of opposite sides are congruent (distance formula)

b. Both pairs of opposite sides are parallel (slope)

c. Same set of opposite sides are both congruent and parallel

d. Diagonals bisect each other (midpoint)

Question: Rectangle (two ways - pick one)

Answer: a. Parallelogram AND one right angle (slope)

b. Parallelogram AND diagonals are congruent (distance)

Question: Rhombus (two ways - pick one)

Answer: a. four sides are congruent (distance)

b. Parallelogram and 2 consecutive sides are congruent

Question: Square (two ways - pick one)

Answer: a. 4 sides are congruent and one right angle

b. 4 sides are congruent and diagonals are congruent

Question: Trapezoid

Answer: Bases are parallel AND legs not parallel

Question: Isosceles Trapezoid

Answer: Bases are parallel and legs not parallel AND legs are congruent

Question: Slope Formula

Answer: