Is parallelogram Efgh a rectangle?

If the diagonals of a parallelogram are congruent, then the parallelogram is a rectangle. EFGH is a rectangle 18.

How do you ensure that a parallelogram is a rectangle?

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 can she use coordinate geometry to determine whether Efgh is a parallelogram?

How can she use coordinate geometry to determine whether EFGH is a parallelogram? Sammy can use the distance formula to show that the opposite sides have equal slopes. Sammy can use the distance formula to show that all sides are equal.

How do you prove a rectangle with coordinates?

Prove it is a Rectangle

1. – The opposite sides are parallel and congruent. – The diagonals bisect each other.
2. – There are 4 right angles. – The diagonals are congruent.
3. A(0, -3), B(-4, 0), C(2, 8), D(6, 5)
4. – Show that both pairs of opposite sides are congruent. – Show that both pairs of opposite sides are parallel.

How to prove that a rectangle is a parallelogram?

Example 5 Show that the bisectors of angles of a parallelogram form a rectangle. Given: ABCD is a parallelogram AP, BP, CR, DR are bisectors of ∠ A , ∠ B, ∠ C, ∠ D respectively To prove: PQRS is a rectangle Proof: A rectangle is a parallelogram with one angle 90° First we will

How to calculate the radians of a parallelogram?

1 A = C 2 B = D 3 A + B = 180° = π radians 4 for a parallelogram that is not a rectangle or square, 5 0 < A< 90° (0 < A < π /2), 6 90° < B < 180° ( π /2 < B < π )

What do you call a parallelogram with all 4 sides equal?

A parallelogram whose angles are all right angles is called a rectangle. And, a parallelogram whose angles are all right angels and whose sides are all equal is called a square. A rhombus (or diamond) is a parallelogram with all 4 sides equal length. * Units: Note that units of length are shown for convenience. They do not affect the calculations.

What are the bisectors of angles of a parallelogram?

Given: ABCD is a parallelogram AP, BP, CR, DR are bisectors of ∠ A , ∠ B, ∠ C, ∠ D respectively To prove: PQRS is a rectangle Proof: A rectangle is a parallelogram with one angle 90° First we will (टीचू) Maths Science GST Accounts Tax Englishtan English Speaking Grammar Resume Help Email help Vocabulary GST