Name: ______Date: ______

Geometry A U8D3 Naming Quads HOMEWORK

Use your theorem sheets to complete these examples using the properties of
trapezoids and kites

  1. m R = ______
/
  1. m S = ______

  1. CD = 15cm.
m< F = ______m< D = ______
m< E = ______EF = ______
/
  1. Name the bases of this trapezoid.
Bases:
m < V = ______m< W = ______

m < X = ______
  1. Polygon ABCD is a kite. If AB = 12 and 6. The perimeter of this kite is 116. Find x.

AD = 4 find BC, DC, and the perimeter.


BC = _____ DC = _____

Perimeter = ______

  1. Find the value of x and y.

Parallelogram

Rectangle

Square

Rhombus

Isosceles

Trapezoid

Trapezoid

Kite

A.

2 pairs opposite sides parallel, consecutive sides not congruent, consecutive sides not perpendicular

B.

2 pairs opposite sides congruent, diagonals are not perpendicular, & diagonals not congruent

C.

Opposite angles congruent, Diagonals not congruent, but Diagonals perpendicular

D.

Consecutive angles are supplementary, but opposite angles are not; diagonals bisect angles

E.

Diagonals bisect each other, diagonals are congruent, consecutive sides not equal.

F.

Consecutive sides perpendicular, opposite angles supplementary, only opposite sides congruent

G.

Diagonals perpendicular, diagonals bisect each other, consecutive sides perpendicular

H.

Diagonals bisect angles, consecutive sides are congruent, consecutive angles are congruent

I.

Diagonals not congruent, 2 pairs consecutive angles supplementary

J.

Diagonals do NOT bisect each other, one pair parallel sides.

K.

Congruent diagonals that do NOT bisect each other

L.

1 pair of opposite sides parallel, 1 pair of opposite sides congruent

M.

2 pairs of consecutive sides congruent, diagonals perpendicular

N.

1 diagonal bisected, 2 angles bisected by diagonals

A. Parallelogram.

2 pairs opposite sides parallel, consecutive sides not congruent, consecutive sides not perpendicular

B. Parallelogram.

2 pairs opposite sides congruent, diagonals are not perpendicular, & diagonals not congruent

C. Rhombus

Opposite angles congruent, Diagonals not congruent, but Diagonals perpendicular

D. Rhombus

Consecutive angles are supplementary, but opposite angles are not; diagonals bisect angles

E. Rectangle

Diagonals bisect each other, diagonals are congruent, consecutive sides not equal.

F. Rectangle

Consecutive sides perpendicular, opposite angles supplementary, only opposite sides congruent

G. Square

Diagonals perpendicular, diagonals bisect each other, consecutive sides perpendicular

H. Square

Diagonals bisect angles, consecutive sides are congruent, consecutive angles are congruent

I. Trapezoid

Diagonals not congruent, 2 pairs consecutive angles supplementary

J. Trapezoid

Diagonals do NOT bisect each other, one pair parallel sides.

K. Isosceles Trapezoid

Congruent diagonals that do NOT bisect each other

L. Isosceles Trapezoid

1 pair of opposite sides parallel, 1 pair of opposite sides congruent

M. Kite

2 pairs of consecutive sides congruent, diagonals perpendicular

N. Kite

1 diagonal bisected, 2 angles bisected by diagonals

Name: ______Date: ______

Geometry

Can You Picture It?

Directions: Draw accurate diagrams of the quadrilaterals that fit the conditions given in each question.

1) Draw 3 different quadrilaterals with one pair of congruent consecutive sides and a right angle.

2) Draw 3 different quadrilaterals with congruent diagonals.

3) Draw 2 different quadrilaterals with one pair of opposite sides congruent and parallel, but diagonals not equal.