Quadrilaterals

Name the Quadrilaterals

100

I have one pair of opposite angles that are equal.

What is a kite?

200

A quadrilateral with four right angle and for equal sides

What is a square?

300

This TYPE of quadrilateral has two pairs of parallel sides.

What is a parallelogram?

400

 This quadrilateral has no parallel sides.

What is a kite?

500

If a shape was described as having the following attributes what names could be used to identify it:

 Four sides

 Four angles

 Opposite sides parallel

 All side congruent (every single one of its four sides has the exact same length.)

What is a rhombus?

What is a square?

• Rhombus: A rhombus is defined as a parallelogram with all four sides of equal length.

• Square: A square has all the properties listed: four sides, four angles (which are all right angles), opposite sides parallel, and all sides congruent. Therefore, a square fits this description.

Classify the Quadrilateral

100

Which of the following is an attribute of all rhombuses?

A   two acute angles                              

B   four equal sides

C   four right angles                               

D  no sides with equal length

B four equal sides 

200

Which statement is true?

A   All quadrilaterals have opposite parallel sides.                                          

B   All trapezoids have two obtuse angles.

C   All rectangles have opposite sides that are the same length.                        

D  All hexagons have six sides with equal length.

C   All rectangles have opposite sides that are the same length.

300

I am a quadrilateral with two pairs of parallel sides. My sides can be different lengths, and my angles don't have to be right angles. What am I?

What is a parallelogram?

400

Which of the following statements is true?

A   All squares are rectangles.               

B   All parallelograms are rhombuses.

C   All rectangles are rhombuses.          D   All quadrilaterals are trapezoids.

A   All squares are rectangles.               

A square can be classified as a rectangle:

• Definition of a rectangle: A rectangle is a quadrilateral (a four-sided polygon) with four right angles (90 degrees).
• Properties of a square: A square is a quadrilateral with four right angles and four equal sides.
• Since a square has four right angles, it perfectly fits the definition of a rectangle. Therefore, all squares are also rectangles.

A rectangle can be classified as a square only if it has equal sides:

• Definition of a square: As mentioned above, a square has four right angles and four equal sides.
• Properties of a rectangle: A rectangle has four right angles, but its sides are not necessarily equal. Only opposite sides of a rectangle are equal in length.
• For a rectangle to be classified as a square, it must have all four of its sides equal in length. If a rectangle has four right angles and all its sides are equal, then it meets all the criteria for being a square.

500

How are squares and rectangles alike?

• They are both quadrilaterals. 
• They both have four sides. 
• They both have four angles. 
• They both have opposite sides that are parallel.
• They are both types of parallelograms.

Is it a parallelogram?Yes or No

100

SQUARE?

YES OR NO

YES

200

TRIANGLE?

YES OR NO

NO

300

RECTANGLE?

YES OR NO

YES

400

RHOMBUS?

YES OR NO

YES 

500

KITE?

YES OR NO

NO

Is it possible?

100

 For a rectangle can have four sides that are the same length?

Yes, it is possible for a rectangle to have four sides that are the same length.

Here's why:

• Rectangle Definition: A rectangle is a quadrilateral (four-sided shape) with four right angles (90 degrees).
• Square Definition: A square is a quadrilateral with four right angles and four sides of equal length.

So, a square fits all the criteria of a rectangle (four right angles) and also has the additional property of all sides being equal in length. Therefore, a rectangle can have four sides that are the same length, and in that specific case, it is also classified as a square.

200

For a square has opposite sides that are parallel?

Yes

Here's why:

• Definition of a Square: A square is a quadrilateral (a four-sided shape) with four right angles and four sides of equal length.
• Relationship to Parallelograms: A parallelogram is defined as a quadrilateral with two pairs of parallel sides.

Since a square has opposite sides that are equal in length and its angles are all right angles, its opposite sides will always be parallel. Therefore, a square is a special type of parallelogram.

So, the statement "A square has opposite sides that are parallel" is TRUE.

300

For a parallelogram can have four acute angles?

No, it is not possible for a parallelogram to have four acute angles.

Here's why:

• Properties of a Parallelogram:

  • Opposite sides are parallel.
  • Opposite angles are congruent (equal in measure).

• Definition of an Acute Angle: An acute angle is an angle that measures less than 90 degrees.

400

For a triangle can have two sides that are the same length?

Yes, it is absolutely possible for a triangle to have two sides that are the same length.

A triangle with two sides of equal length is called an isosceles triangle

500

For a trapezoid can have two right angles?

Yes, it is possible for a trapezoid to have two right angles.   

Here's why:

• Definition of a Trapezoid: A trapezoid is a quadrilateral (a four-sided shape) with at least one pair of parallel sides.   

  
  

If a trapezoid has two right angles, these right angles will typically be adjacent to one of the parallel sides. This creates a shape that looks like a rectangle that has been "cut off" at a slant on one of the non-parallel sides.   

All Things Review

100

What is the sum of 1/3 + 1/3= ?

 2/3 or two thirds 

200

Order these fractions from least to greatest: 1/2, 2/3, 3/8

What is 3/8, 1/2, 2/3?
OR
What is 9/24, 12/24, 16/24?

300

What is 5 x 0.25? 

What is 1.25? 

400

A ribbon is 3.75 meters long. If you cut off 1.2 meters, how long is the remaining ribbon?

What is 2.55 meters?

500

If a bag of candy weighs 2.8 pounds and you divide it equally among 4 friends, how much candy does each friend get?

 What is 0.7 pounds?