Quadrilateral Hierarchy

Organize these options into the right categories

Groups:

(a) True

,

(b) False

• All parallelograms are rhombuses.

• All squares are rectangles.

• All rhombuses are rectangles.

• All rhombuses are squares.

• All rectangles are squares.

• All squares are trapezoids.

• All trapezoids are quadrilaterals.

• All squares are rhombuses.

• Rectangles are always parallelograms.

Because a square is a rhombus, it must have ​ (a)   .

Because a square is a rectangle, it must have ​ (b)   .

Because a square is a parallelogram, it must have ​ (c)   .

Because a square is a quadrilateral, it must have ​ (d)   .

• 4 equal sides
• 4 right angels
• 2 sets of parallel sides
• 4 sides

In the Venn diagram shown, Set A contains shapes with one given characteristic and Set B contains shapes with another characteristic.

Which shape most likely belongs in the intersection of Set A and Set B?

• 
• 
• 
• 

Alex filled out a graphic organizer about polygons. Here is a section of his graphic organizer.

Which shape(s) appear to be classified correctly?

• Shape 1

• Shape 2

• Shape 3

• Shape 4

Because a ​ (a)   is a ​ (b)   , it must have ​ (c)   .​

• rhombus
• parallelogram
• two pairs of parallel sides
• equal sides
• trapezoid

Which shape is NOT sorted correctly in the graphic organizer?

• Circle

• Pentagon

• Quadrilateral

• Triangle

Quadrilaterals can be classified using the graphic organizer shown.

Which term best classifies the shapes that belong in the shaded section of the organizer?

• Parallelogram

• Polygon

• Pentagon

• None of these

In the diagram shown each circle represents a group of polygons. If a polygon belongs in a circle, it also belongs in any larger circle.

Which kinds of polygon belongs in the shaded circle?

• Trapezoids

• Squares

• Pentagons

• Rhombuses

REVIEW:

A snow globe is stored in a cube-shaped box. Each edge of the box is 13 inches long. What is the volume, in cubic inches, of the box?

Mathematical Equivalence

ON

Phoebe divided her rectangular vegetable garden into three sections, as shown in the drawing.

The potato section is a square with a side length of 7 meters.

The carrot section is a square with a side length of 5 meters.

What is the area, in square meters, of the corn section of Phoebe's garden?

Mathematical Equivalence

ON