Classify by Attributes
Name a 2D figure that has exactly 4 sides and 4 right angles.
Square
Give an example of a category of quadrilaterals and name one subcategory that belongs to it.
Example: Quadrilaterals → rectangle.
What is a polygon? Give one simple example.
A polygon is a closed plane figure with straight sides. Example: triangle.
Name the three types of triangles based on side lengths.
Equilateral, isosceles, scalene
What is the formula for finding area?
A= Length x Width
Tell whether a square is always a rectangle, sometimes a rhombus, or never a parallelogram. Explain briefly.
A square is always a rectangle and always a rhombus and always a parallelogram.
If all squares are rectangles, and all rectangles are parallelograms, what subcategories does a square belong to? List them from largest category to smallest.
Parallelogram → rectangle → square (also square is a rhombus and a parallelogram).
How many sides does a heptagon have?
Heptagon has 7 sides.
Name the three types of triangles based on angles.
Right, acute, and obtuse
What is the area of a rectangle with side lengths 3/4 in. and 2/3 in.? You do need to simplify
1/2 inches squared
A polygon has 6 sides and at least one pair of parallel sides. Give an example of this polygon and name one attribute it must have.
a hexagon with at least one pair of parallel sides (e.g., a hexagon constructed with one pair of opposite sides parallel). Attribute: at least two parallel sides.
Draw or describe a classification hierarchy that places parallelograms, rectangles, rhombi, and squares. Which attributes move a shape down the hierarchy?
Hierarchy: Quadrilateral at top → Parallelogram → Rectangle and Rhombus as parallel branches → Square at intersection of Rectangle and Rhombus. Attributes that move down: having opposite sides parallel, having right angles, having all sides equal.
A polygon has interior angle sum of 540. How many sides does it have?
5- a pentagon
A triangle has side lengths 3, 4, and 5. Classify this triangle by sides.
A garden has a length of 2 1/3 feet and a width of 3 2/5 feet. What is the area of the garden?
8 9/15 feet squared
List three attributes that would prove a quadrilateral is a rectangle.
Opposite sides parallel, four right angles, opposite sides equal.
Given a shape that is a parallelogram with all sides equal, where does it belong in the hierarchy? Explain which attributes place it there.
It is a rhombus (and also a parallelogram and quadrilateral) because all sides equal plus opposite sides parallel.
Describe how to tell whether a polygon is regular or irregular. Give an example of each.
Regular: all sides and angles equal (e.g., regular hexagon). Irregular: sides or angles not all equal (e.g., an irregular pentagon).
What is the sum of all the angles in a triangle?
180
A rug is in the shape of a square. If the length is 4 3/4 feet, what is the width of the rug?
4 3/4 feet
Describe the difference in attributes between a kite and a rhombus. Give one example diagram scenario for each.
Kite: two pairs of adjacent equal sides; diagonals perpendicular and one diagonal that bisects the other. Rhombus: all four sides equal; opposite angles equal; diagonals bisect each other.
You are given three shapes: a rectangle that is not a square, a rhombus that is not a square, and a square. Create a Venn-style classification showing which categories overlap and label shared attributes.
Venn diagram: overlapping regions between parallelograms, rectangles, rhombi, and squares; label shared attributes (e.g., squares have both right angles and equal sides).
A polygon has 8 equal sides and 8 equal angles. Name the polygon.
Octagon
A triangle has the following attributes: side lengths: 4, 6, 4. Angles: 67, 90, 23
What is the name of the triangle?
Right Isosceles Triange
A rug is in the shape of a square. If the length is 4 3/4 feet, what is the area of the rug?
22 9/16 feet squared