Given: A quadrilateral is a parallelogram Prove: The opposite sides of the quadrilateral are congruent

Q: Theorem: If one pair of opposite sides of a quadrilateral are both parallel and congruent, the…

A: Given: In quadrilateral ABCD one pair of opposite sides are parallel and congruent, i.e.…

Q: Quadrilateral ABCD is a parallelogram. If consecutive angles are congruent, which statement must be…

A: Given that Quadrilateral ABCD is a parallelogram and consecutive angles are same

Q: Classify the following quadrilateral as described below: "A quadrilateral with opposite sides…

A: We have given a quadrilateral that has opposite sides congruent and opposite angle congruent.

Q: Sam claims that opposite sides of a quadrilateral are always congruent. Which quadrilaterals DO NOT…

A:

Q: Match the quadrilateral with the correct figure. Use each choice only once. 18. Quadrilateral 19.…

A: Given query is to match the quadrilaterals

Q: If AC 2+ 14 and AE = 8v + 2, find the value of v that makes quadrilateral BCDE parallelogram.

A:

Q: The legs of a quadrilateral are usually the vertical sides of the shape. With this definition, which…

A:

Q: 2. Let ABCD be a quadrilateral. Let E, F, G, and H be the midpoints of its sides (as shown). Assume…

A: We have to use the Midpoint theorem:  "The line segment in a triangle joining the midpoint of two…

Q: Prove that the diagonals of a parallelogram bisect each other.

A:

Q: Which of the following statements must be true in order to prove that a quadrilateral is a…

A: There are main 4 properties of a parallelogram

Q: Which of the following quadrilaterals can make a regular tessellation?

A:

Q: 2. Quadrilateral PQRS has the following properties: a) Opposite sides are parallel and equal. b)…

A:

Q: Which of the following conditions is NOT sufficient to prove that a quadrilateral is a…

A: We can find the answer as below.

Q: Quadrilateral ABCD has AB = DC and AD = BC. Using intuition, what type of quadrilateral is ABCD? A B

A: Given:

Q: Is the quadrilateral also a parallelogram? Use complete sentences to explain why or why not. a) A %3…

A: Solution:

Q: Given quadrilateral A(2,-1) B(1,3) C(6,5) D(7,1), you want to prove that it is a parallelogram by…

A: We prove, opposite sides are equal or congruent in lenth.

Q: Answer the following question about quadrilateral ABCD Which sides (if any) are congruent? You must…

A:

Q: Both pairs of opposite sides of a quadrilateral are parallel. Which specialkind of quadrilateral…

A: Given: Both pairs of opposite sides of a quadrilateral are parallel.

Q: Use coordinate geometry to prove the statem If the midpoints of a trapezoid are joined to form a…

A: consider the following trapeziod midpoints of the sides,…

Q: 5. Given that a quadrilateral on the coordinate plane has consecutive sides that are not congruent…

A: