Suppose that A, B, C, D and A′, B′, C′, D′ (in those orders) form the vertices of convex quadrilaterals. We shall say that the convex quadrilaterals ABCD and A′B′C′D′ are classically congruent if the lengths of the corresponding sides and the measures of the corresponding angles are equal. Show that two parallelograms are classically congruent if |AB| = | A′B′|, | ∠ABC| = | ∠ A′B′C′| and |BC| = |B′C′|.

Q: Prove that for any two points A and B, line segment AB = line segment BA

A: To prove that for any two points A and B, line segment AB = line segment BA.

Q: Quadrilateral TUVW has vertices located at T(-5, -2), U(2, 1), V(0, −2), and W(-7,-5). Write a…

A: Given, a quadrilateral  with vertices located at  and .It is required to write a two-column proof to…

Q: Prove that the angle sum of any convex quadrilateral is less than or equal to 360.

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Q: . If a parallelogram has four equal sides and diagonals that are perpendicular to each other, then…

A: The objective is to find the suitable choice for the given question.

Q: How many possible nonzero distances does a quadrilateral, that is not a rectangle, rhombus,…

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Q: ABCD is a rhombus. If m<ABD = 47o , find m<BAC

A: Given,  ABCD is a rhombus.  m∠ABD = 47°  We have to find  m∠BAC.

Q: A quadrilateral has vertices Q (-2, -2), R (0, 2), S (4, 3), and T (3,-1). Which statement about…

A: Solution: The objective is to determine the statement about quadrilateral QRST

Q: Select all the statements that would show that quadrilateral ABCD on the coordinate plane is a…

A: Parallelogram property

Q: -5

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Q: Prove that the diagonals of a parallelogram bisect each other.

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Q: Which of the following statements must be true in order to prove that a quadrilateral is a…

A: There are main 4 properties of a parallelogram

Q: 2. Write two column proofs to prove quadrilateral RSTU is a parallelogram using two separate…

A: Draw the given quadrilateral RSTU with coordinates and .Draw the diagonals of the quadrilateral…

Q: Given the quadrilateral RSTU with vertices R(5, -3), 5(9, 0), 7(3, 8),and U(-l, 5). a. Show that…

A: Given; Vertices of Quadrilateral R5,-3, S9,0, T3,8, U-1,5 The distance between the vertices R and S…

Q: 11. The points P(-2, 1), Q(-6, 4), and R(4, 3) are three vertices of parallelogram PQRS. a) Find the…

A: (a)P(-2,1), Q(-6,4), R(4,3)PQRS is a parallelogram ,…

Q: acuce 4. Given J(5, 0), K(8, –11), L(-3, –14), M(-6, –3), determine whether parallelogram JKLM is a…

A: Given  here we have given the coordinated of the parallelogram J(5,0), K(8, -11), L(-3, -14),…

Q: Prove that a quadrilateral can be inscribed in a circle if and only if its opposite angles are…

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Q: Given any convex quadrilateral (works with concave too, but you only need to prove for convex),…

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Q: what is the length of segment AB with points A(2,4) and B(3,6).  Use √ if necessary.

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Q: Given quadrilateral A(2,-1) B(1,3) C(6,5) D(7,1), you want to prove that it is a parallelogram by…

A: We prove, opposite sides are equal or congruent in lenth.