Quadrilateral properties

Question 1

Properties of a Rhombus

Answer 1

-All congruent sides
-Diagonals are perpendicular
-Diagonals bisect opposite angles

Question 2

Properties of a Rectangle

Answer 2

-Diagonals are congruent (forms 4 isosceles triangles)
-All angles are right angles thus they are congruent

Question 3

Properties of an Isosceles Trapezoid

Answer 3

-The legs are congruent (nonparallel sides)
-Both pairs of base angles are congruent
-Diagonals are congruent

Question 4

Properties of a Kite

Answer 4

-Diagonals are perpendicular
-Only one pair of angles are congruent (the close ones)

Question 5

What two things do you have to find to prove a Square in a coordinate plane?

Answer 5

1. Distance/Pythag to prove all sides are congruent
2. Slopes of opposite sides to prove sides are perpendicular

Question 6

What two things do you have to find to prove a Rectangle in a coordinate plane?

Answer 6

1. Slope of opposite sides to prove sides are perpendicular (right angles)
2. Distance/Pythag to prove diagonals are congruent

Question 7

What two things do you have to find to prove a Rhombus in a coordinate plane?

Answer 7

1. Distance/Pythag to prove all sides are congruent
2. Slope to prove no right angles on the sides