Polygon Review

Truth Statements

100

A trapezoid has exactly 1 right angle: Always Never Sometimes None of the Above

Sometimes Show how you know.

200

Which of the following statements is true? All squares are rectangles. All rectangles are squares. No squares are rectangles.

All squares are rectangles.

300

Which of the following statements is true? A parallelogram is a type of a square. A parallelogram is a type of a rhombus. A rectangle is a type of parallelogram.

A rectangle is a type of parallelogram.

400

Which of the following statements is false? All quadrilaterals have exactly 4 sides. All quadrilaterals have parallel sides. All quadrilaterals have exactly 4 angles. All quadrilaterals are polygons.

All quadrilaterals have parallel sides.

500

Every rhombus is a parallelogram. Always Sometimes Never

Always

Attributes

100

A common attribute between a square and an equilateral triangle is:

Equal length sides

200

An attribute that a right triangle and a trapezoid could have is:

One right angle. Others? Is this always true? Why or why not?

300

Name two attributes that a square has.

Four right angles Four equal length sides

400

Which of these shapes have opposite sides that are parallel? A Parallelogram B Rhombus C Both a parallelogram and a rhombus D Neither a parallelogram nor a rhombus

C Both a parallelogram and a rhombus

500

Is the following statement true:

Since all trapezoids have four sides, all trapezoids are rectangles.

False.  Rectangles have four right angles, trapezoids only have one or two.

Triangles

100

A triangle with three different sized angles is called?

A scalene triangle

200

Is it possible for a triangle to be a right, scalene triangle?

Yes - this is a possibility - show what this would look like by drawing a representation.

300

Which statement is true? A. All triangles are acute triangles B. No triangles have three equal sides C. Some triangles have an obtuse angle

C Some triangles have an obtuse angle

400

Which of the following is a false statement? A Some triangles could be considered a rhombus B All triangles have at least one acute angle C Some triangles have two sides that are equal in length D All triangles have exactly three sides

A Some triangles could be considered a rhombus. A rhombus is a quadrilateral.

500

Is it possible to have an equilateral, right triangle?

No, this is not possible because equilateral triangles are also equiangular, meaning they must also have equal angles of 60 degrees each. 

Quadrilaterals

100

Is this statement true? All trapezoids have one pair of parallel sides.

Yes - this is true. This is what attribute makes trapezoid unique.

200

Is it possible for a trapezoid to have two right angles?

Yes, this is possible. Draw a representation of a trapezoid with two right angles to prove that this is true (be sure that you still have one pair of parallel sides as well).

300

Which attribute belongs to every rhombus, but does not belong to every parallelogram? A All four sides have different lengths B All four sides are equal in length C The opposite sides are equal in length

B All four sides are equal in length. Prove with a representation why a rhombus has this attribute, but not every parallelogram does.

400

Is this statement true: Since all rectangles have four sides, all quadrilaterals have four sides.

Yes! QUAD means FOUR.

500

Draw a representation of quadrilaterals. You should use the following terms: parallelogram, trapezoid, square, rhombus, and rectangle

(See drawings)

Venn Diagrams

100

Compare the shapes: 1) How are they the same? 2) How are they different? Square and Rectangle

Same: four sides, four right angles, two sets of parallel sides Different: Square - four equal length sides; Rectangle - doesn't have to have four equal length sides - only opposite sides must be equal

200

Compare the shapes: 1) How are they the same? 2) How are they different? Parallelogram and Rhombus

Same: Four sides, two pairs of parallel sides Different: Rhombus - four sides must be equal in length; Parallelogram - only opposite sides must be equal in length

300

Compare the shapes: 1) How are they the same? 2) How are they different? Trapezoid and Square

Same: Four sides Different: Trapezoid - one set of parallel sides; Square - Two sets of parallel sides

400

Compare the shapes: 1) How are they the same? 2) How are they different? Choose two quadrilaterals to compare.

Answers may vary

500

Compare the shapes: 1) How are they the same? 2) How are they different? Choose two triangles to compare

Answers may vary