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For a shape to be a rectangle, it must be a four-sided polygon with two pairs of parallel, congruent sides and four interior angles of 90° each. If you have a shape that matches that description, it also is all this:
The four sides of your polygon, to create two pairs of parallel sides, must also be two congruent pairs. The base and top will be equal in length, and the left and right sides will be equal in length.
A parallelogram and rhombus can only be rectangles when their interior angles are each 90°.
While a rectangle is a type of quadrilateral, parallelogram, closed shape and plane figure, only a square is the 1 last update 2020/05/28 always a type of rectangle.While a rectangle is a type of quadrilateral, parallelogram, closed shape and plane figure, only a square is always a type of rectangle.
Rectangles are very handy to have around. You see them in bricks, cement blocks, picture frames, posters, sheets of paper, the faces of play bricks that snap together, the sides of shoe boxes and cereal boxes, and a lot of other everyday objects.
Rectangles are great because they stack neatly, since they have two pairs of parallel sides. Their right angles make sure built things (houses, office buildings, schools) stand straight and tall.
You can use four linear (straight) objects to make a rectangle. Make certain two of the objects are the same length, and the other two objects are the same length. Arrange them so the longer pieces are parallel and exactly a distance apart so the other two, shorter pieces can touch their ends.
When all four ends are touching, you may need to adjust to make sure all four inside angles look like right angles, or 90°. Adjacent sides of a rectangle are perpendicular.
Later we will see how to draw a rectangle using a protractor, straightedge (or ruler), and pencil.
Woodworking Planshow to Woodworking Plans for The main identifying property of a rectangle is its four interior right angles. You cannot construct a rectangle without those four angles adding to 360° and each measuring 90°. When you do that, the four sides will automatically create the other identifying property.
The other property that identifies rectangles is that opposite sides are congruent and parallel. Congruent means they have the same length; parallel means they are the same distance apart throughout their length.
Of course, if you use a ruler with markings in inches or centimeters, you can measure the length of your base, measure the length of the two sides left and right, and ensure the long, top side is equal to the length of the base.
Woodworking Planshow to Woodworking Plans for Either method will accurately and quickly give you a rectangle you constructed by yourself.
Woodworking Planshow to Woodworking Plans for In this lesson, you used the video, drawings and instructions to learn about rectangles. You learned what a rectangle is, how to recognize a rectangle in the world around you, how the rectangle fits into the family of quadrilaterals, and the other shape that is always a rectangle (only the square!).
You also learned two identifying properties of rectangles: all rectangles have two pairs of congruent, parallel sides; and all rectangles have four interior angles of 90° each.
Finally, you learned how to construct your own rectangle using a straightedge, protractor, pencil and paper. You learned a lot!
Once you enjoy the video and read these instructions, you will be able to:
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