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Knowledge
Comprehension
Application
Analysis
Evaluation
100
A parallelogram with four congruent sides and four right angles.
What is a square
100
Explain how you would use the property of a rectangle to show: If the length of one side is 12 and the height of a side is 5, then what are the lengths of the other two sides?
Since a rectangle’s opposite sides are equal, we know given a height and width, the other two sides will be equal to their opposite side.
100
Sketch a graph of a rectangle on a coordinate plane with sides length 8 and 6 with corners at (-4,3) and (-4,-3).
Look at graph given by the teacher.
100
Compare a square and a rhombus and explain how they are similar. Explain how they are different.
A square and a rhombus both have four equal sides, but a square must have four right angles where as a rhombus must only have four equal sides.
100
Can a shape be multiple shapes at the same time? Why or why not?
Yes, a shape can satisfy the properties of multiple different shapes at the same time. A square is both a rhombus and rectangle at the same time because it has four right angles like a rectangle and has four equal sides like a rhombus.
200
√((x2-x1)2+(y2-y1)2)
What is the distance formula.
200
Paraphrase how to prove a quadrilateral is a parallelogram.
A quadrilateral is a parallelogram if its opposite sides are equal, opposite angles are equal, consecutive angles are supplementary, or its diagonals bisect each other.
200
Construct a quadrilateral with exactly one pair of parallel sides. State what kind it is and label its parts
What is a trapezoid. See teacher for sketch.
200
Categorize the hierarchy of the following shapes from most broad to most specific. Square, Parallelogram, Rectangle
What is a Parallelogram, Rectangle, Square
200
After learning all of the properties of trapezoids, rectangles, and squares, consider how much different geometry would be without them. How do you think it would affect the way you are able to solve problems?
By not being able to use the proven properties of trapezoids, rectangles, and squares, we would not be able to assume that any of the angles are right angles, or that any of their sides are equal. We would have to go back to measuring everything out by hand and would have lots of room for error.