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Can a square be a rectangle?

Joe Ford

Can a square be a rectangle?

The answer is Yes. A square is a rectangle because it possesses all the properties of a rectangle. These properties are: Interior angles measure 90∘ each.

What is the slope of a parallelogram?

This means that in a parallelogram there are 2 pairs of parallel sides. In order to prove that the opposite sides are parallel, you have to prove that the slope of AB is the same as the slope of CD, and the slope of BC is the same as the slope of AD.

How do you form a parallelogram?

In Euclidean geometry, a parallelogram is a simple (non-self-intersecting) quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.

Why is a rectangle a special parallelogram?

Each pair of co-interior angles are supplementary, because two right angles add to a straight angle, so the opposite sides of a rectangle are parallel. This means that a rectangle is a parallelogram, so: Its opposite sides are equal and parallel. Its diagonals bisect each other.

How do you construct a parallelogram ABCD?

Construct a parallelogram ABCD with sides AB = 4 cm and AD = 5 cm and angle A = 60.

  1. Construct a line segment AB = 4 cm.
  2. Construct a line segment AD = 5 cm on the other arm of the angle.
  3. Stretch your compasses to 4 cm, place the sharp end at D and draw an arc to intersect the arc drawn in step 2.

What do we require to construct a square?

As mentioned, a square is a quadrilateral with sides of equal length and angles of the same measure. We know that the 4 interior angles of the square measure 90 degrees each. Hence, we do not require any other dimension for the construction of square. All the sides are equal in measurement and are perpendicular.

How do you construct a parallelogram with two diagonals and angles?

The following are the steps of construction to draw a parallelogram ABCD with the given parameters:

  1. Draw AC = 5.4 cm.
  2. Construct perpendicular bisector of AC i.e., Bisect AC at O.
  3. Draw ∠COX = 70° and produce XO to Y.
  4. OB = 1/2 diagonal BD = 1/2 (6.2) = 3.1 cm and OD = 1/2 (6.2) =3.1 cm as shown.
  5. Join AB, BC, CD, and DA.

How do you construct a rhombus with two diagonals?

To draw a rhombus follow these steps:

  1. Draw a line segment AC=5.2 cm.
  2. Draw the perpendicular bisector to the line AC.
  3. Label the intersecting point as O.
  4. Taking O as centre, draw an arc of length with radius OB=OD= 3.2cm either side of the line AC since diagonals bisect each other in rhombus.
  5. Join AB, BC,Cd and AD.

How do you construct a parallelogram more or 6cm Re 4.5 cm EO 7.5 cm?

Steps of construction: (d) Draw an arc of 6 cm radius taking E as centre. (e) Draw another arc of 4.5 cm radius taking O as centre, which intersects at M. (f) Join OM and EM. It is required parallelogram MORE.