Geometry 6-5 Conditions for Rhombuses, Rectangles, and Squares
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by Matthew Richardson
| 29 Questions
Note from the author:
A complete formative lesson with embedded slideshow, mini lecture screencasts, checks for understanding, practice items, mixed review, and reflection. I create these assignments to supplement each lesson of Pearson's Common Core Edition Algebra 1, Algebra 2, and Geometry courses. See also mathquest.net and twitter.com/mathquestEDU.
The outlined content above was added from outside of Formative.
The outlined content above was added from outside of Formative.
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10 pts
Solve It! Which vertices form a square? Select all that apply.
AFEO
BCDG
GDHO
GJFL
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10 pts
Problem 1 Got It? A parallelogram has angle measures of 20, 160, 20, and 160. Can it be a rhombus, a rectangle, or a square?
Rhombus
Rectangle
Square
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10 pts
Problem 1 Got It? Explain your response on the previous item.
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10 pts
Problem 1 Got It? Reasoning: Suppose the diagonals of a quadrilateral bisect each other. Can you conclude that it is a rhombus, a rectangle, or a square?
Rhombus
Rectangle
Square
The quadrilateral is none of these.
There is not enough information to make a conclusion.
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10 pts
Problem 1 Got It? Explain your response on the previous item.
The outlined content above was added from outside of Formative.
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Problem 2 Got It?
A
B
C
D
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Problem 3 Got It? Can you adapt the method in Problem 3 slightly to stake off a square play area? Explain.
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10 pts
Based on the given information, what are the possible classifications for the parallelogram?
Select all that apply.
Rhombus
Rectangle
Square
None of these
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10 pts
Explain your response to the previous item.
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10 pts
Based on the given information, what are the possible classifications of the parallelogram?
Select all that apply.
Rhombus
Rectangle
Square
None of these
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10 pts
Explain your response to the previous item.
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A
B
C
D
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A
B
C
D
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10 pts
Identify the special parallelograms that have each property.
  • Rhombuses
  • Rectangles
  • Squares
  • Diagonals are perpendicular
  • Diagonals are congruent
  • Diagonals are angle bisectors
  • Diagonals bisect each other
  • Diagonals are perpendicular bisectors of each other
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10 pts
Error Analysis: Your friend says, "A parallelogram with perpendicular diagonals is a rectangle." What is your friend's error? Explain.
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10 pts
Reasoning: Complete the following steps on the canvas.
1. Draw a circle and two of its diameters.
2. Connect the endpoints of the diameters to form a quadrilateral.
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10 pts
Reasoning: Which types of quadrilaterals are possible in the previous item? Select all that apply.
Rhombuses
Rectangles
Squares
None of these
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10 pts
Review Lesson 6-4: Use the parallelograms in the diagrams above to match the measures with their angles.

(Tip: You may need to use the down arrow key to drag items to the lowest angle measures.)
  • 58
  • 26
  • 90
  • 57
  • 128
  • 66
  • ∠A
  • ∠B
  • ∠C
  • ∠D
  • ∠E
  • ∠F
  • ∠G
  • ∠H
  • ∠I
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10 pts
Review Lesson 2-3: Write the two conditionals as a biconditional.

If a parallelogram is a rhombus, then its diagonals are perpendicular.
If the diagonals of a parallelogram are perpendicular, then the parallelogram is a rhombus.
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10 pts
Review Lesson 2-3: Write the two conditionals as a biconditional.

If a parallelogram is a rectangle, then its diagonals are congruent.
If the diagonals of a parallelogram are congruent, then the parallelogram is a rectangle.
Review Lesson 1-3
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10 pts
Find the value of a.
Enter only a number.
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Find the value of b.
Enter only a number.
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Find the value of m.
Enter only a number.
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Find the value of n.
Enter only a number.
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Vocabulary Review: Cross out the figure that is NOT a quadrilateral.
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Use Your Vocabulary: Which polygon has no diagonal ?
triangle
quadrilateral
pentagon
hexagon
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Use Your Vocabulary: Which polygon has two diagonals ?
triangle
quadrilateral
pentagon
hexagon
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10 pts
Use Your Vocabulary: Draw the diagonals from one vertex in each figure.
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10 pts
Reflection: Math Success
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