0

# What quadrilateral is two pair of opposite angle congruent?

Updated: 12/15/2022

Wiki User

13y ago

Parallelogram

Wiki User

13y ago

Earn +20 pts
Q: What quadrilateral is two pair of opposite angle congruent?
Submit
Still have questions?
Related questions

### If one pair of opposite angles of a quadrilateral are congruent and one pair of opposite angles are congruent then is the quadrilateral a parallelogram?

For the quadrilateral to be a parallelogram, both pairs of opposite angles must be congruent.

### What is the Opposite Sides Parallel and Congruent Theorem?

The Opposite Sides Parallel and Congruent Theorem states that if a quadrilateral has a pair of opposite sides that are parallel and congruent, then the quadrilateral is a parallelogram.

### If one pair of opposite sides of a quadrilateral is congruent then the quadrilateral is a parallelogram?

No. The congruent sides need not be parallel.

### If one pair of opposite sides of a quadrilateral is parallel and then the quadrilateral is a parallelogram?

Then, the opposite sides are congruent.

sometimes

Parallel

### If one pair of opposite angles and one pair of opposite sites of a quadrilateral is congruent then the quadrilateral is a parallelogram. How can it be proven?

draw a diagonal through opposite corners of the quadrilateral. This makes two triangles. Prove the triangles are congruent using SSA (side side angle) congruence. Then show that the other two sides of the quadrilater must be congruent to each other, so it is a parallelogram.

### What quadrilateral has no pair of opposite sides are congruent?

How about a trapezoid as an example.

No, it is not.

A kite

### A quadrilateral with exactly 1 pair of parrell sides and exactly 1 pair of congruent sides?

This quadrilateral is a trapezoid. In a trapezoid, one pair of opposite sides is parallel, and one pair of opposite sides is congruent. The other two sides are not parallel or congruent.

### If one pair of opposite sides of a quadrilateral are congruent then the quadrilateral is a parallelogram?

No, you need both pairs of opposite sides to be congruent (i.e. the same size) to be a parallelogram.