State whether the following statement is Always True, Sometimes True, or Never True. The diagonals of a parallelogram are perpendicular. a) O Never true b) O Always true c) O Sometimes true

Q: Which quadrilaterals always have diagonals that are always perpendicular? O Parallelogram O…

A: To find :               Which quadrilaterals always have diagonals that are always perpendicular.

Q: Given: DE AB, EC BC, 4B <E Prove: C is on the perpendicular bisector of AD Statements Reasons

A: Based on the Sides equality in the Hexagonal polygon, DE = AB and BC = CE Here angle according to…

Q: A two-column proof can be used to demonstrate that a diagonal splits a parallelogram into two…

A:

Q: One pair of parallel sides proves a quadrilateral to be a parallelogram O True O False

A: The quadrilateral with one pair of parallel sides is a trapezoid, not a parallelogram. for a…

Q: Write a two-column proof to show that opposite sides are congruent in a parallelogram. Given:…

A:

Q: ) Prove for any quadrilateral ABCD, the following are equivalent: ) ABCD is a parallelogram; (B) AB…

A: (8) Given      In Quadrilateral ABCD                 we have AB//CD (AB parallel CD)  ,AB=CD…

Q: Read each item carefully. Write the letter of the correct answer on the blank before each number.…

A: A pair of opposite side is parallel and congruent.  According to guidelines we solve only first…

Q: Write a two-column proof to show that if two consecutive sides of a parallelogram are congruent,…

A: Given:ER ≅ AV∠REA ≅ ∠VAE∠REO is a right angle triangleProve:RAVE is a rhombus

Q: Write a two column proof to prove the following: If a transversal intersects two parallel lines,…

A: Given, Statement: If the transversal intersects two parallel lines then the bisectors of two…

Q: If both pairs of the opposite side of the quadrilateral are parallel, then the quadrilateral is a…

A: If both pairs of the opposite side of the quadrilateral are parallel, then the quadrilateral is a…

Q: Which information does not prove that quad. ABCD is a parallelogram? b. AD | BC; AD = BC a. AC and…

A: (a) If AC¯ and BD¯ bisect each other, then ABCD is a parallelogram.  (b) If AD¯∥BC;AD≅BC, then ABCD…

Q: Use the given information to complete the proof of the following theorem. If opposite sides of a…

A: The reasons are:-

Q: What is a possible method for proving a quadrilateral is a parallelogram? a) Show diagonals are…

A: The option d) Show midpoints of diagonals are congruent. is correct.     A quadrilateral is a…

Q: 1. If the bisectors of angles of a quadrilateral enclose a rectangle, then show that it is a…

A: As per our guideline we are allowed to do 1 question at a time. Please post other questions next…

Q: Alicia wants to use the picture below to prove that it is possible to cut Parallelogram ABDC into…

A: Option A IS CORRECT.

Q: A figure is shown. Given: LA= MB, BL|| AM Which statement about quadrilateral LAMB is true? O…

A:

Q: If a quadnlateral is a parallelogram, then consecutive angles are complementary 1S

A:

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

A: topic - quadrilaterals

Q: A quadrilateral must be a parallelogram if one pair of opposite sides is O A. congruent and the…

A: If one pair of opposite sides of a quadrilateral is parallel and congruent, then the quadrilateral…

Q: Determine the values of x and y to justify that the given quadrilateral is parallelogram.

A: Parallelogram have opposite sides parallel. Sum of any two adjacent angles of parallelogram is equal…

Q: A parallelogram with congruent diagonals is a rhombus. O True O False

A: Given Statement : A paralleogram with congruent diagonals is a rhombus. To find: Whether statement…

Q: A parallelogram with congruent diagonals is a rectangle. O True O False

A: To explain the given statement

Q: ABCD is a quadrilateral in which P and Q are the mid points of the diagonals AC and BD respectively.…

A: Use summation of vector to solve

Q: A parallelogram is a quadrilateral with two pairs of opposite sides equal that form right angles. O…

A:

Q: A parallelogram that has two consecutive congruent sides is a rectangle. O True False

A: Check if the given statement is true or false.

Q: Juan used the theorem that states “the diagonals of a parallelogram bisect each other" to complete a…

A:

Q: The diagonal of a parallelogram divides it into two congruent triangles. True False

A: Given statement is true, The diagonal of a parallelogram divides it into two congruent triangles.…

Q: Prove that if the diagonals of a quadrilateral ABCD bisect each other, then ABCD is a parallelogram.

A: Here given that diagonals of quadrilateral bisect each other and we need to prove that the…

Q: A figure is shown. L B M Given: LA = MB, BL || AM Which statement about quadrilateral LAMB is true?…

A: We will find which statement about quadrilateral is true in the following step.

Q: Prove that: If AD is the angle bisector of A (in triangle ABC), and if u = BD and v = CD, then ас U…

A: Given: AD is the angle bisector of angle A in triangle ABC.u=BD and v=CD To Find:  To prove that…

Q: of

A:

Q: Show that quadrilateral ABCD is a parallelogram. D (b, c C(a+b A 10, 0) B(a, O

A: Given: Formula used: m=y2-y1x2-x1

Q: prove that if one side of a triangle is a common measure of the other two sides then the triangle is…

A:

Q: The diagonal of a parallelogram divides it into two congruent triangles.

A:

Q: Prove that if a triangle has two congruent angles, then it is isosceles.

A: Triangle with two equal sides is called anisoceles triangle.To prove: If a triangle has two…

Q: In a triangular space, every straight line, no tomb districts, are parallel i True false

A: The given statement is

Q: If a quadrilateral is a parallelogram, then its diagonals a) bisect opposite angles. b) bisect each…

A: If a quadrilateral is a parallelogram, then its diagonals

Q: Which statement would not prove that ABDC is a parallelogram?

A: Properties of parallelogram is as below : Two opposite are parallel and congruent. Opposite angles…

Q: 14 12 10 PARK 4. 2. 2. 10 12 14 00

A: By using the opposite sides parallel and conjugate theorem we show that the polygon which represent…

Q: Prove that if a point is contained in two angles of a triangle, then it is contained in the interior…

A: In a triangle, any two angles are adjacent (i.e, sharing a common hand)

Q: Can you prove that the quadrilateral is a parallelogram based on the given information? Explain. 15)…

A:

Q: To prove that a given quadrilateral is a parallelogram, show that the diagonals bisect each other.…

A:

Q: Prove: If the diagonals of a parallelogram are congruent, then the parallelogram is a rectangle.

A: Statement: If the diagonals of a parallelogram are congruent, then the parallelogram is a rectangle.

Q: If a pair of sides in a quadrilateral is both congruent and parallel, then the quadrilateral is a…

A: The correct option is 1st option i.e. True i.e. if a pair of sides in a quadrilateral is both…

Q: 3) If the diagonals of a quadrilateral are congruent but do not bisect each other, what is the…

A: For, rectangle diagonal are congruent and bisect each other.

Q: Which statement requires additional information to prove that a quadrilateral is a parallelogram?…

A: As above first  three statement are telling about the property of a parallelogram or we can say that…

Q: Is the following statement always true, sometimes true, or never true? One diagonal of a kite is…

A: One diagonal of kite is bisected. This statement always holds true. A kite holds certains properties…

Q: 1. Which statement requires additional information to prove that a quadrilateral is a parallelogram?…

A: In the figure as shown below there is one pair of the quadrilateral is parallel.

Q: To show that a given quadrilateral is a parallelogram, show that two pairs of opposite sides are…

A:

Q: If the diagonals of a quadrilateral are perpendicular bisectors of each other (but not congruent),…

A: Consider a quadrilateral whose diagonals are perpendicular bisectors of each other but not congruent…