Props of special quads

Question 1

Properties of a Parallelogram

Answer 1

Opposite sides of a parallelogram are congruent

• Opposite sides of a parallelogram are parallel
• Opposite angles of a parallelogram are congruent
• Diagonals of a parallelogram bisect each other
• Any pair of consecutive angles of a parallelogram are supp.

Question 2

Properties of Rectangles

Answer 2

All properties of a parallelogram apply

• all angles are right angles
• the diagonals are congruent

Question 3

Properties of Kites (‘Half a Rhombus’)

Answer 3

Two disjoint pairs of consecutive sides are congruent

• the diagonals of a kite are perp
• one diagonal is the perp bisector of the other diagonal
• one of the diagonals of a kite bisects a pair of opposite angles
• one pair of opposite angles of a kite are congruent

Question 4

Properties of Rhombus

Answer 4

• all properties of parallelogram apply
• all properties of a kite apply
• the diagonals of a rhombus bisect angles
• the diagonals of a rhombus are perp. bisectors of each other
• the diagonals of a rhombus divide the rhombus into four congruent right triangles

Question 5

properties of squares

Answer 5

all properties of rectangle apply

• all properties of a rhombus apply
• the diagonals form four congruent isos right triangles

Question 6

properties of isos trapezoids

Answer 6

the legs are congruent

• the bases are parallel
• the lower base angles are congruent
• the upper base angles are congruent
• the diagonals are congruent
• any lower base angle is supp. to any upper base angle