What are the theorems of parallelogram?
What are the theorems of parallelogram?
Theorems include: opposite sides are congruent, opposite angles are congruent, the diagonals of a parallelogram bisect each other, and conversely, rectangles are parallelograms with congruent diagonals. HSG-SRT.
How do you prove ABCD is a parallelogram?
triangles are congruent. If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram. If — AB ≅ — CD and — BC ≅ — DA , then ABCD is a parallelogram. If both pairs of opposite angles of a quadrilateral are congruent, then the quadrilateral is a parallelogram.
What are the 7 properties of a parallelogram?
Properties of Parallelograms Explained
- Opposite sides are parallel.
- Opposite sides are congruent.
- Opposite angles are congruent.
- Same-Side interior angles (consecutive angles) are supplementary.
- Each diagonal of a parallelogram separates it into two congruent triangles.
- The diagonals of a parallelogram bisect each other.
Which theorem can you use to show that the quadrilateral is a parallelogram?
Parallelogram Theorem #1 Converse: If each of the diagonals of a quadrilateral divide the quadrilateral into two congruent triangles, then the quadrilateral is a parallelogram….Theorems about Quadrilaterals.
| Statements | Reasons |
|---|---|
| Parallelogram \begin{align*}ABCD\end{align*} | Given |
Is it possible to draw a parallelogram okay where OK 5.5 cm and Ka 4.2 cm?
With centre O and radius = 4.2 cm, draw another arc to intersect the previous arc at Y. VI. Join YO and YA. Thus, OKAY is the required parallelogram.
What properties of parallelograms can be used to prove parallelogram theorems select all that apply?
There are six important properties of parallelograms to know:
- Opposite sides are congruent (AB = DC).
- Opposite angels are congruent (D = B).
- Consecutive angles are supplementary (A + D = 180°).
- If one angle is right, then all angles are right.
- The diagonals of a parallelogram bisect each other.
How do you prove 4 points to make a parallelogram?
Let the points (4, 5) (7, 6) (4, 3) (1, 2) represent the points A, B, C and D. Opposite sides of the quadrilateral formed by the given four points are equal. Also the diagonals are unequal. Therefore, the given points form a parallelogram.
