Download Unit 7 Classwork

Geometry
Unit 7 Classwork
Name ____________________________________
Date ______________
Section 1: Complete the chart by placing a check mark in the boxes that apply to the given figure (1 pt. each)
Property
Parallelogram
Rectangle
Rhombus
Square
All angles are right angles
Both Pairs of Opposite sides are parallel
All sides are congruent
Both Pairs of Opposite angles are congruent
Diagonals bisect interior angles of quad.
Diagonals are perpendicular
Diagonals are congruent
Diagonals bisect one another
Both Pairs of Opposite sides are congruent
Section 2: Write in the full word TRUE or FALSE (1 pt. each)
__________ 1. All quadrilaterals are parallelograms.
__________ 2. All parallelograms are quadrilaterals.
__________ 3. All squares are rhombi.
__________ 4. All rectangles are parallelograms.
__________ 5. If a parallelogram has perpendicular diagonals and four congruent sides it must be a square.
__________ 6. If diagonals of a quadrilateral are congruent, then the quadrilateral is a parallelogram.
__________ 7. An isosceles trapezoid has two congruent bases.
__________ 8. If diagonals of a quadrilateral bisect one another, then the quadrilateral is a parallelogram.
__________ 9. All trapezoids are parallelograms.
__________ 10. All parallelograms are rectangles.
__________ 11. If both pairs of opposite angles of a quadrilateral are congruent, then the quadrilateral is a parallelogram.
__________ 12. All trapezoids are quadrilaterals.
__________ 13. If one pair of opposite sides in a quadrilateral are parallel, then the quadrilateral is a parallelogram.
__________ 14. All rhombi are squares.
__________ 15. The sum of the interior angles of a trapezoid is 360.
__________ 16. A square has congruent diagonals.
__________ 17. A trapezoid can have four congruent sides.
__________ 18. The diagonals of a rhombus are always congruent.
__________ 19. If one pair of opposite sides in a quad. are parallel and congruent, then the quad. is a parallelogram.
__________ 20. All rectangles have perpendicular diagonals.
__________21. Diagonals of a rhombus bisect one another.
__________22. An isosceles trapezoid has congruent legs.
__________23. A trapezoid can have no congruent sides.
__________24. The legs of a trapezoid are parallel.
Section 3: Find the values of the indicated variables. (1 pt. each)
Section 4: Find all missing indicated values. (1 pt. each)
HIJK is a parallelogram. Complete numbers 1-4 using the following diagram.
I
H
1
2
L
K
3
4
J
1. If HL = 7, then LJ=_____.
1.________
2. If HK=12, then IJ=_____.
2.________
3. If HIJ  120 and 4  35 , then 2  ____ .
3.________
4. If HL = 2x + 5 and LJ = 4x – 19, then x=_____.
4.________
5. Solve for the missing values in the parallelogram.
62
y
10
10
a
35
x
5. a= ________
b = ________
x= ________
y = ________
b
33
The quadrilaterals below are parallelograms. Find a, b, x, and y.
6.
7.
b
7
y
x

x

10
8
a
a
110
y
80 60
15
b
a= _____
x=_____
a= ______
x= ______
b= _____
y= _____
b= ______
y= ______
8.
9.
3y+4
y+12
8
4x
2x
x+9
3y-8
13
x=______
y=______
x=_______
y=_______
10.
11.
7y
3x
3 y
2x  5
123
45
4y+21
x=______
y=______
x=_______
y=_______
Section 5: Find the indicated values. (1 pt. each)
1.
18
x
2.
x+4
10
8
x =________
3x
x = __________