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

Q: Use the parallelogram provided to determine which of the following would be sufficient to show that…

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Q: Prove if a quadrilateral ABCD is cyclic, then its opposite angles are supplementary.

A: As per bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: Consider the following quadrilateral with diagonal AC and from which it is known that AB || CD and…

A: Given that AB∥CD , AD∥BC AC is diagonal  Now, we know that ∠A+∠B+∠C+∠D=360° ∠A+∠B=180° ∠D+∠C=180°…

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 midpoint formula to prove quadrilateral ABCD is a parallelogram by showing the diagonals…

A: Midpoint formula: The midpoint of a line segment joining the points (a,b) and (c,d) is, a+c2,b+d2.…

Q: A parallelogram is a quadrilateral with diagonals that bisect each other. O True O False

A: A Quadrilateral with diognals bisect each other is give below

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: A parallelogram is defined as a quadrilateral that has one pair of opposite congruent sides. O True…

A: False

Q: Let ABCD be a general, not necessarily planar, quadrilateral in space. Show that the two segments…

A: Let ABCD be a quadrilateral.

Q: Prove that the diagonals of a rectangle are equal.

A: Let assume PQRS is the rectangle with                              PR and…

Q: If a quadrilateral has diagonals that bisect each other, then the quadrilateral is a trapezoid. O…

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Q: Prove that if DABCD is a parallelogram, then DABCD is convex.

A:

Q: Are quadrilaterals ABCD and EFGH congruent if: a) AB = EF, LB = LF, BC = FG, and LC = ZG? b) ZA =…

A: To check the quadrilaterals are congruent.

Q: Given: ABCD is a rhombus and AACB ADBC. Prove: ABCD is a square.

A: Prove that the given rhombus is a square

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

A: Given  The diagonals of a quadrilateral are perpendicular bisectors of each other (but not congruent…

Q: If the diagonals of a parallelogram are congruent then what would be the best and most restrictive…

A: The above question can be solved as below

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

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Q: If a parallelogram is a rectangle, then its diagonals are a) perpendicular. b) congruent. c) none of…

A: diagonals are ?

Q: A parallelogram with all four sides congruent is classified as a:

A: Given : A parallelogram with all four sides congruent.

Q: Prove that the quadrilateral formed by joining, in order,the midpoints of the sides of an isosceles…

A: To prove that the quadrilateral formed by joining, in order, the midpoints of the sides of an…

Q: A quadrilateral whose opposite sides are congruent is a parallelogram. O True O False

A: A parallelogram is a quadrilateral .

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: paragraph proof please!

A: Given: Points P, Q, R and S are the mid-points of sides of isosceles trapezium ABCD with AB || CD…

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

A:

Q: prove that the midpoints of the sides of a quadrilateral of the mice are vertices of a…

A: We need to prove the midpoints of the sides of a quadrilateral of are vertices of a parallelogram.…

Q: Prove that if a line bisects one side of a triangle and is parallel to a second side, then it…

A: Basic proportionality Theorem of triangle is define as if a line drawn parallel to one side of…

Q: Let ABCD be a general, not necessarily planar, quadrilateral in space. Show that the two segments…

A:

Q: If the diagonals of a parallelogram are perpendicular, then the parallelogram is a rhombus.

A: Given- The diagonals of  a parallelogram are prependicular . To show- That the parallelogram is…

Q: 11. Can you prove this quadrilateral is a parallelogram? K

A: No, this quadrilateral can not be proved to be parallelogram due to insufficient condition.

Q: If both pairs of adjacent sides and opposite sides are congruent in a parallelogram, then the…

A:

Q: Can the following quadrilateral be proven to be a parallelogram based on the given​ information?

A: We will prove the given quadrilateral is a parallelogram or not in the following step.

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: (b) For which quadrilaterals do the diagonals bisect each other and have the same length?

A: Quadrilateral: A quadrilateral is a shape with four sides. Examples of quadrilateral are: Square,…

Q: 15. Is the following quadrilateral a parallelogram? Q. yes b. no C. not enougn information

A: Correct option :- C Detailed Explanation :-

Q: Prove that when the midpoints of consecutive sides of a quadrilateral are joined in order, the…

A: To prove: When the midpoints of consecutive sides of a quadrilateral are joined in order, the…

Q: Given Square ABCD and EDC = ZECD, prove AABE is equilateral.

A: So, ABCD is a square,  angle EDC and ECD are equal, (let them be x), i.e. E is exactly lies on the…

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

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Q: A quadrilateral with perpendicular diagonals that is not a parallelogram must be a(n). O A. kite OB.…

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

A: The given statement is

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

A: Given : A quadrilateral is a parallelogramFrom the definition of parallelogram , AB||CD ,…

Q: Prove that the quadrilateral with vertices A(0,0), B(4,3), C(7,-1) and D(3,-4) is a square.

A: →In a quadrilateral, if all sides are equal then quadrilateral is a square. →Calculate the length of…

Q: Show that quadrilateral RSTV with vertices R(- 5, - 3), S(1, – 11), T(7, -6), and V(1, 2) is a…

A: Solution: Consider the given that RSTV has vertices R(-5, -3) , S(1, -11), T(7, -6), and V(1, 2)…

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: Prove that if ABCD is a parallelogram, then its diagonals bisect each other.

A: Let us consider a paralellogram ABCD which have diagonals AC And BD and intersect at point E

Q: Which quadrilaterals always have diagonals that are congruent

A: Which quadrilaterals always have diagonals that are congruent

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

A: use property of triangle to prove the given problem

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: that if P, Q, R and S form a quadrilateral, then it cannot be cyclic.

A: A quadrilateral inscribed in a circle is known as a cyclic quadrilateral. so,  if a pair of…

Q: . In quadrilateral ABCD, if ∠B=60°, ∠A=2∠B, and ∠A=∠C, prove that ABCD is a parallelogram.

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…