Proving a Quadrilateral Is a Parallelogram Answers

Analyze the diagram below and complete the instructions that follow. Find the measure of for which WXYZ is a parallelogram.

Analyze the diagram below and complete the instructions that follow. Find the length of for which MATH is a parallelogram.

Complete the proof.Given: Quadrilateral ABCD belowProve: ABCD is a parallelogram Statements Reasons 1. , 1. Given 2. 2. Reflexive property of congruence 3. 3. 4. and 4. 5. ABCD is a parallelogram 5. A 3. ASA4. CPCTC5. Opposite sides are congruent B 3. SAS4. CPCTC5. Opposite sides are congruent C 3. ASA4. CPCTC5. Opposite angles are supplementary D 3. ASA4. SSS5. Opposite sides are congruent Please select the best answer from the choices provided

Analyze the diagram below and complete the instructions that follow. If HE = 3p + 7, , LP = 5p – 19, and , find the values of p and q for which quadrilateral HELP is a parallelogram.

Analyze the diagram below and complete the instructions that follow. Find the length of for which MATH is a parallelogram.

Quadrilateral JKLM has side lengths of JK = 2y + 3, KL = 8x – 10, LM = 5y – 6, and JM = 3x + 20. Find the values of x and y that make quadrilateral JKLM a parallelogram.

Analyze the diagram below and complete the instructions that follow.Quadrilateral LMNO has diagonals that intersect at point P. If , LP = 6x – 5, and NP = 4x + 17, find the length of such that LMNO is a parallelogram.

Quadrilateral ABCD has side lengths of AB = 2z + 2, BC = 8, CD = 5z – 10, and AD = 8. Find the value of z for which quadrilateral ABCD is a parallelogram.

Analyze the diagram below and complete the instructions that follow. Quadrilateral LMNO has diagonals that intersect at point P. If , MP = y + 25, and OP = 5y + 29, find the length of such that LMNO is a parallelogram.

Analyze the diagram below and complete the instructions that follow. Find the length of for which ABCD is a parallelogram.