Identify Parallelograms Determine whether the quadrilateral is a

Which method would prove the quadrilateral is a parallelogram? A. Both pairs of opp.

Use Parallelograms to Prove Relationships MECHANICS Scissor lifts, like the platform lift shown, are

Use Parallelograms to Prove Relationships Answer: Since both pairs of opposite angles of quadrilateral

The diagram shows a car jack used to raise a car from the ground.

Use Parallelograms and Algebra to Find Values Find x and y so that the

Use Parallelograms and Algebra to Find Values AB = DC Substitution Distributive Property Subtract

Use Parallelograms and Algebra to Find Values Substitution Distributive Property Subtract 3 y from

Parallelograms and Coordinate Geometry COORDINATE GEOMETRY Quadrilateral QRST has vertices Q(– 1, 3), R(3,

Parallelograms and Coordinate Geometry Answer: Since opposite sides have the same slope, QR║ST and

Graph quadrilateral EFGH with vertices E(– 2, 2), F(2, 0), G(1, – 5), and

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Identify Parallelograms Determine whether the quadrilateral is a parallelogram. Justify your answer. Answer: Each pair of opposite sides has the same measure. Therefore, they are congruent. If both pairs of opposite sides of a quadrilateral are congruent, the quadrilateral is a parallelogram.

Which method would prove the quadrilateral is a parallelogram? A. Both pairs of opp. sides ||. B. Both pairs of opp. sides . C. Both pairs of opp. s . D. One pair of opp. sides both || and .

Use Parallelograms to Prove Relationships MECHANICS Scissor lifts, like the platform lift shown, are commonly applied to tools intended to lift heavy items. In the diagram, A C and B D. Explain why the consecutive angles will always be supplementary, regardless of the height of the platform.

Use Parallelograms to Prove Relationships Answer: Since both pairs of opposite angles of quadrilateral ABCD are congruent, ABCD is a parallelogram by Theorem 6. 10. Theorem 6. 5 states that consecutive angles of parallelograms are supplementary. Therefore, m A + m B = 180 and m C + m D = 180. By substitution, m A + m D = 180 and m C + m B = 180.

The diagram shows a car jack used to raise a car from the ground. In the diagram, AD BC and AB DC. Based on this information, which statement will be true, regardless of the height of the car jack. A. A B B. A C C. AB BC D. m A + m C = 180

Use Parallelograms and Algebra to Find Values Find x and y so that the quadrilateral is a parallelogram. Opposite sides of a parallelogram are congruent.

Use Parallelograms and Algebra to Find Values AB = DC Substitution Distributive Property Subtract 3 x from each side. Add 1 to each side.

Use Parallelograms and Algebra to Find Values Substitution Distributive Property Subtract 3 y from each side. Add 2 to each side. Answer: So, when x = 7 and y = 5, quadrilateral ABCD is a parallelogram.

Parallelograms and Coordinate Geometry COORDINATE GEOMETRY Quadrilateral QRST has vertices Q(– 1, 3), R(3, 1), S(2, – 3), and T(– 2, – 1). Determine whether the quadrilateral is a parallelogram. Justify your answer by using the Slope Formula. If the opposite sides of a quadrilateral are parallel, then it is a parallelogram.

Parallelograms and Coordinate Geometry Answer: Since opposite sides have the same slope, QR║ST and RS║TQ. Therefore, QRST is a parallelogram by definition.

Graph quadrilateral EFGH with vertices E(– 2, 2), F(2, 0), G(1, – 5), and H(– 3, – 2). Determine whether the quadrilateral is a parallelogram. A. yes B. no