Advanced Geometry
Worksheet 6.5: Squares
Name:_______________________
Answer each question
1. A square has all the properties of a rhombus and rectangle. List the properties a square gets
from both special parallelograms
From Rhombus
From Rectangle
2. Explain why this statement is false. “Every rhombus is a square.”
3. Explain why this statement is false. “Every rectangle is a square.”
4. ACGH is a square. Find the measure of each missing angle
6
1
2
3
5
4
For 5 – 7: Use the figure to the right
5. Using the distance formula, show the quadrilateral is a rhombus.
6. Using the concept of slope, show the shape is a rectangle. (Perpendicular lines have opposite sign,
reciprocal slopes)
7. What is the most specific way to classify ADCB?
Determine if the state is ALWAYS, SOMETIMES, or NEVER true.
8.
A parallelogram is a square
9.
A square is a rhombus
10. A rectangle is a parallelogram
11. A rhombus is a rectangle
12. A rhombus is a square
13. A square is a rectangle
Solve for x. The quadrilateral is a square.
14. The perimeter is 52 ft.
15.
7 cm
x cm
3x – 2
The shapes below is a parallelogram with all sides congruent. Solve for x. Then determine if the
most specific name for the parallelogram is a square or a rhombus? Explain your reasoning. The
shapes are NOT drawn to scale.
16.
(3x – 27)o
(4x – 8)o
17.
(2x +12)o
(2x +14)o
18. Classify the polygons as specifically as possible (quadrilateral, parallelogram, rhombus,
rectangle, square).The figures are NOT drawn to scale.
o
o
o
90
o
90
o
o
90
90
90
90
o
90
o
90