Solved: The coordinates of three vertices of a parallelogram are given. Find all

Quad. GRAM is a parallelogram. a. Why is LG supplementary to LM1 b. Why is LM supplementary to /_A! c. Complete: Consecutive angles of a parallelogram are _, while opposite angles are :

Suppose that ZM is a right angle. What can you deduce about angles G, R, and A?

In Exercises 3-5 quad. ABCD is a parallelogram. Find the values of jc, y, and z

In Exercises 3-5 quad. ABCD is a parallelogram. Find the values of jc, y, and z

In Exercises 3-5 quad. ABCD is a parallelogram. Find the values of jc, y, and z

Must quad. EFGH be a parallelogram? Can it be a parallelogram? Explain.

Must quad. EFGH be a parallelogram? Can it be a parallelogram? Explain.

Must quad. EFGH be a parallelogram? Can it be a parallelogram? Explain.

Quad. ABCD is a parallelogram. Name the principal theorem or definition that justifies the statement. AD II BC

Quad. ABCD is a parallelogram. Name the principal theorem or definition that justifies the statement. Z.ADX = LCBX

Quad. ABCD is a parallelogram. Name the principal theorem or definition that justifies the statement. mLABC = mLCDA

Quad. ABCD is a parallelogram. Name the principal theorem or definition that justifies the statement. AD = BC

Quad. ABCD is a parallelogram. Name the principal theorem or definition that justifies the statement. AX = hAC

Quad. ABCD is a parallelogram. Name the principal theorem or definition that justifies the statement. DX = BX

Draw a quadrilateral that isn't a parallelogram but does have two 60 angles opposite each other.

State each theorem in if-then form. (Begin "If a quadrilateral is a ") a. Theorem 5-1 b. Theorem 5-2 c. Theorem 5-3

a. Draw any two segments, AC and BD, that bisect each other at O. What appears to be true of quad. ABCD? b. This exercise investigates the converse of what theorem?

Draw two segments that are both parallel and congruent. Connect their endpoints to form a quadrilateral. What appears to be true of the quadrilateral

Each figure in Exercises 19-24 is a parallelogram with its diagonals drawn. Find the values of x and v.

Each figure in Exercises 19-24 is a parallelogram with its diagonals drawn. Find the values of x and v.

Each figure in Exercises 19-24 is a parallelogram with its diagonals drawn. Find the values of x and v.

Each figure in Exercises 19-24 is a parallelogram with its diagonals drawn. Find the values of x and v.

Each figure in Exercises 19-24 is a parallelogram with its diagonals drawn. Find the values of x and v.

Each figure in Exercises 19-24 is a parallelogram with its diagonals drawn. Find the values of x and v.

2v, TE = 12, and TC = 9, 9 i __ ? 25. If #7 then

If DE = x + y, C = 12, CK AX> = 3x - 2y,then;t = _L_,y = _JL of CODECK = __.

If m Z 1 = 3jc, m Z 2 = 4*, and m Z 3 = jc 2 * = ? and m Z CED = = 2x v, and , and the perimeter

Given: CJPQRS, PJ = RK Prove: SJ = QK

Given: CJJQKS; PJ = RK Prove: LP = LR

Given: AflCD is aO;CO: Prove: ziAsZE

Given: AflCD is aO;CO: Prove: ziAsZE

Given: AflCD is a O; ZA Prove: AS = CE

Find something interesting to prove. Then prove it. Answers may vary. Given: CJABCD: L\ = L.2

Find something interesting to prove. Then prove it. Answers may vary. Given: CJEFIH: OJEGJH: L 1 =

The coordinates of three vertices of a parallelogram are given. Find all the possibilities you can for the coordinates of the fourth vertex. 3, 4), (9, 4), (6, 8)

The coordinates of three vertices of a parallelogram are given. Find all the possibilities you can for the coordinates of the fourth vertex. (-1, 0), (2. -2), (2, 2)

a. Given: Plane P II plane Q: j II k Prove: AX = BY b. State a theorem about parallel planes and lines that you proved in part (a).

Prove: If a segment whose endpoints lie on opposite sides of a parallelogram passes through the midpoint of a diagonal, that segment is bisected by the diagonal

Write a paragraph proof: The sum of the lengths of the segments drawn from any point in the base of an isosceles triangle perpendicular to the legs is equal to the length of the altitude drawn to one leg.

a. Suppose that two sides of a quadrilateral are parallel and that one diagonal bisects an angle. Does that quadrilateral have to be special in other ways? If so, write a proof. If not. draw a convincing diagram. b. Repeat part (a) with these conditions: Suppose that two sides are parallel and that one diagonal bisects two angles of the quadrilateral.

Draw a regular pentagon ABCDE. Let X be the intersection of AC and BD. What special kind of quadrilateral is AXDE? Write a paragraph proof.

Given: Rectangle RSTW; equilateral A YWT and STZ What is true of A/?FZ? Write a paragraph proof