Download HW #1: Classifying Quadrilaterals

HW #1: Classifying Quadrilaterals
SHOW WORK!
Name________________
Date________ Period____
Graph and label each quadrilateral with the given vertices. By looking, determine the most precise
name for each quadrilateral. Then verify by finding the needed slope and/or length of each side.
1. A (3,5), B (7,6), C (6,2), D (2,1)
2. W (-1,1), X (0,2), Y (1,1), Z (0,-2)
3. J (2,1), K (5,4), L (7,2), M (2,-3)
4. E (-3,1), F (-7,-3), G (6,-3), H (2,1)
Find the values of the variables. Then find the lengths of the sides of each quadrilateral.
5. Rhombus ABCD
A
3f+2
g+6
B
6. Parallelogram LMNO
2m+8
D
5m-2
L
2g-5
5f-8
O
N
S+1
C
3m-1
M
E
7. Kite EFGH
x
3x-4
H
F
y+1
2y-5
G
8. Isosceles trapezoid IJKL
4x+3
I
J
4
2x+2
L
15
K
Draw each figure on graph paper. If not possible, explain.
9. a parallelogram that is neither a rectangle nor a rhombus
10. an isosceles trapezoid with two right angles
11. a trapezoid with only one right angle
12. a trapezoid with two right angles
13. a rhombus that is not a square
14. a kite with two right angles
15. Which statement is NEVER true?
16. Which statement is true for some, but not all,
rectangles?
A. Square ABCD is a rhombus.
A. Opposite sides are parallel.
B. Parallelogram PQRS is a square.
B. It is a parallelogram.
C. Trapezoid GHIJ is a parallelogram.
C. Adjacent sides are perpendicular
D. Square WXYZ is a parallelogram.
D. All sides are congruent.
17. Which name best describes a
parallelogram with four congruent
angles?
A. Kite
B Rhombus
C. Rectangle
D. Square
18. A parallelogram has four congruent sides
Which name best describes the figure?
A. Trapezoid
B. Parallelogram
C. Rhombus
D. Square