Look at part 1. What types of angles do you see in this figure?
Right angles.
Where do you see perpendicular line segments? What makes them perpendicular?
The left and top side, the top and right side, the right and bottom side, and the bottom and left side are perpendicular. They meet at right angles.
Where do you see parallel line segments? What makes them parallel?
The vertical sides are parallel to each other. The horizontal sides are parallel to each other. They would never touch if you continued them forever.
What type of shape is it? What attributes define it?
Square. Possible response: It is a quadrilateral with 4 right angles, 4 sides of equal length, and 2 pairs of parallel sides.
Draw a rectangle. What attributes make it a rectangle?
Encourage students to draw any rectangle. A rectangle is a quadrilateral with 4 right angles, 2 pairs of parallel sides, and opposite sides of equal length.
Draw a rhombus. What attributes make it a rhombus?
Encourage students to draw any rhombus. It is a quadrilateral with 4 sides of equal length.
Draw a quadrilateral that is not a square, rhombus, or rectangle. Explain why it is still a quadrilateral even though it does not fit those categories.
Answers vary for the drawing. Quadrilaterals are polygons with exactly 4 sides. They do not have to have any other special attributes.
Look at part 3. Which diagram correctly displays the relationship among rectangles, rhombuses, and squares? Explain.
Diagram A. A shape must be a square when it is both a rectangle and a rhombus.
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