What is a Parallelogram?

Questions and Answers

What is a characteristic of a parallelogram?

Having five sides

Having at least one pair of sides of equal length (correct)

Having three sides of equal length

Having all sides of equal length

What is true about the diagonals of a parallelogram?

They never meet at a point

They always meet at a right angle

They always meet at the halfway point (correct)

They are always parallel

What is the formula to find the area of a parallelogram?

A = B + H

A = B × H (correct)

A = B - H

A = B ÷ H

What can be used to test if a shape is a parallelogram?

Checking if it has two sets of parallel lines and four total sides Signup and view all the answers

What is the area of a rhomboid with a base of 6cm and a height of 3cm?

18 Signup and view all the answers

What is the definition of a parallelogram?

A geometric shape with four sides and two sets of parallel lines Signup and view all the answers

What is a characteristic of a parallelogram's side lengths?

All parallelograms have either one or two different side lengths Signup and view all the answers

Which of the following is NOT a type of parallelogram?

Triangle Signup and view all the answers

What is a characteristic of a square?

All squares have four 90° angles Signup and view all the answers

What is a common feature of all parallelograms?

They all have four corners and four angles Signup and view all the answers

What is the primary difference between a rhombus and a square?

A square has right angles, while a rhombus does not. Signup and view all the answers

What is a characteristic shared by all parallelograms?

They all have two sets of parallel lines. Signup and view all the answers

What distinguishes a rhomboid from a rectangle?

A rhomboid has no right angles, while a rectangle does. Signup and view all the answers

What can be concluded about a shape that has four sides, four corners, and four angles?

It is a type of quadrilateral. Signup and view all the answers

What is a result of drawing lines diagonally from each corner of a parallelogram?

The lines will create bisecting lines that intersect halfway from each line. Signup and view all the answers

Study Notes

Definition and Characteristics of Parallelograms

A parallelogram is a geometric shape with four sides, four corners, and four angles.
It has two sets of parallel lines, with either the same length for every side or two different side lengths (one length for each pair of parallel lines).
Parallelograms will never have more than two side lengths, or they wouldn't be considered a parallelogram.

Types of Parallelogram Shapes

Squares: four sides of equal length, four 90° angles (or four right angles), and two sets of parallel lines.
Rectangles: four sides, four corners, and four angles; all angles are right angles, but not all sides are equal length.
Rhombuses: four sides of equal length, but no right angles; angles are acute and obtuse, each directly across from each other.
Rhomboids: four sides, but not all sides are equal length; they have two acute and two obtuse angles opposite from each other.

Properties of Parallelograms

Quadrilateral: four sides
Parallel sides: two sets of parallel lines opposite from one another
Bisecting lines: lines drawn diagonally from each corner of a parallelogram will create bisecting lines that intersect halfway from each line
Equal side length: at least one pair of sides of equal length
Congruent triangles: two congruent triangles are formed when a single line is drawn diagonally from one corner to another on a parallelogram
Opposite but equal angles: angles opposite from each other in a parallelogram will have the same measure
Opposite but equal lines: parallelograms always have sides with the same length (congruent) as the side opposite from them

Calculating the Area of a Parallelogram

The area of a parallelogram can be determined by multiplying the base by the height of the shape (A = B x H)
The area of a rectangle, for example, can be calculated by multiplying the base and height (e.g., A = 4cm x 2cm = 6)