Classify Quadrilaterals

The table shows some attributes of shapes. Which shapes always have all of the attributes shown in the table? Choose ALL the correct answers.

• squares

• right triangles

• rectangles

• isosceles triangles

• rhombuses

Tags

CCSS.5.G.B.3

CCSS.5.G.B.4

Equilateral triangles are a subcategory of isosceles triangles.

• Yes

• No

Tags

CCSS.HSG.CO.C.10

Right triangles are a subcategory of polygons.

• Yes

• No

Tags

CCSS.5.G.B.3

CCSS.5.G.B.4

Polygons are a subcategory of parallelograms.

• Yes

• No

Rectangles are a subcategory of parallelograms.

• Yes

• No

Tags

CCSS.HSG.CO.C.11

What order would these categories need to be in if I wanted to put them in a hierarchy?

• rhombuses, squares, polygons, quadrilaterals

• polygons, quadrilaterals, rhombuses, squares

• quadrilaterals, polygons, squares, rhombuses

Tags

CCSS.HSG.CO.A.1

Robert uses the Venn diagram to order quadrilaterals in a hierarchy. Which statement best explains whether Robert's Venn diagram is correct or not?

• It is not correct. Rectangels and squares are both parallelograms. Rectangles are a subcategory of squares.

• It is correct. Squares and rectangles have all the attributes of parallelograms. Squares and rectangles do not share any other attributes.

• It is not correct. Rectangles and squares are both parallelograms. Squares are a subcategory of rectangles.

• It is corrct. Squares and rectangles have all the attributes of parallelograms. Squares and rectangles both have 4 right angles.

Tags

CCSS.HSG.CO.C.11

Which statement describes all rhombuses?

• a polygon with three sides

• a polygon with exactly 1 pair of parallel side3s

• a quadrilateral with 4 sides of equal length

• a parallelogram with 4 right angles

Tags

CCSS.HSG.CO.C.11

Use the Venn diagram. Decide if the statement is always true, sometimes true, or never true.

An equilateral triangle is an obtuse triangle.

• always true

• sometimes true

• never true

Tags

CCSS.HSG.CO.C.10

A right triangle is an isosceles triangle.

• always true

• sometimes true

• never true

Tags

CCSS.HSG.CO.C.10