In quadrilaterals ABCD and EFGH, AB || DC, EF || HG, ZA = LE, and LB = LF. a) Are quadrilaterals ABCD and EFGH congruent? b) Are ZD and ZH congruent? A B C

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A: Given that:

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: The definition of a rhombus is a quadrilateral that has four congruent sides. O True O False

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Q: 3. Conduct a formal proof to prove that the diagonals of an isosceles trapezoid are congruent.

A: Given: Consider the isosceles trapezoid ABCD shown below: AB=CD To prove: AC≅BD

Q: 45. Prove: If the diagonals of a trapezoid are congru- ent, then it is an isosceles trapezoid.

A: Prove:- if the diagonals of a trapezoid are congruent, then it is an isosceless trapeziod Now given…

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A: We can answer the question as below

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A: The objective of the question is determine the length of the diagonal AC.

Q: Show that quadrilateral RSTV is an isosceles trapezoid. y v (a + d, e) T (c - d, e) R (a, b) S (c,…

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Q: A quadrilateral with exactly two pair of consecutive, congruent sides is classified as a: Rectangle…

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Q: 11. ABCD is a quadrilateral such that if sides AB and CD are extended they will meet at a right…

A: Solution: Consider the given quadrilateral ABCD and assuming line AB and CD extended and create a…

Q: In rhombus VENU, diagonals VN and EU intersect at S. If VN = 12 and EU = 16, what is the perimeter…

A: Diagram according to the Question Diagonals of Rhombus are Perpendicular Bisecture ( Angle 90°)All…

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: Prove that the diagonals of an isosceles trapezoid are congruer D(c, b) C(a-c, b) b A( 0,0) В (а, о)

A: A plane figure formed by three or more non-collinear points joined by line segments is called a…

Q: Determine the area of a quadrilaterals with incircles, having sides a = 9.66 m, b = 7.54, c = 11.44,…

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Q: 2. Let ABCD be a quadrilateral. Let E, F, G, and H be the midpoints of its sides (as shown). Assume…

A: We have to use the Midpoint theorem:  "The line segment in a triangle joining the midpoint of two…

Q: Two congruent intersecting circles B and D (not shown) have a line (segment) of centers BD and a…

A: The figure is drawn as shown in the figure with the give conditions.B and D are the centers of two…

Q: The diagonals of quadrilateral ABCD intersect at E. If EC = 4, BD = 12, AE = x, and BE = y, what…

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Q: Iasha drew these figures. Flqure 1 Finure 2 Flgure 3 Which figure is a quadrilateral, a rhombus, a…

A: From the figures drew by IESHA  A figure which is quadrilateral, a rhombus, a rectangle, a square is…

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 quadrilateral that is equiangular, but is not equilateral, must be a - (Give the strongest…

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Q: If ZH and ZJ are supplementary, what type of quadrilateral is HJKL? H L K Exercises 7, 8

A: We have given a quadrilateral HJKL where ∠H and ∠J are supplementary. To find type of quadrilateral.…

Q: In quadrilateral RSTU, RT and su intersect at point M, so that RM = TM and RS is parallel to TU.…

A: Given RSTU is a quadrilateral .RM=TMRS is parallel to TU

Q: In trapezoid ABCD, AB CD and ZBAD insert diagonals AC and BD : AAMD is isosceles.

A: Given :- In trapezium ABCD, AB≅CD and ∠BAD≅∠CDA  Prove :- ∆AMD is isosceles ∆

Q: a. If the congruent trapezoids shown are slid together, what special quadrilateral is formed? b. Use…

A: (a) Consider the given figure:   Here, CD=EF=b1AB=GH=b2Height=h……1   Also, AB∥CDEF∥GH……2

Q: ABCD is a quadrilateral and G, H are the middle points of AC, DB. If CB, DA are produced to meet in…

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Q: Give the definition of a rhombus and prove that the area of a rhombus is half the product of the…

A: A rhombus is a special case of a parallelogram, and it is a four-sided quadrilateral. In a rhombus,…

Q: Are quadrilaterals ABCD and EFGH congruent if: a) AB = EF, BC = FG, CD = GH, and AD = EH? b) AB =…

A: We are given two quadrilaterals ABCD and EFGH.We have to  check the congruency of two quadrilaterals…

Q: ABCD is a plane quadrilateral and E is any point on AD. EF is drawn parallel to DB to meet AB in F,…

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Q: The diagonals of quadrilateral JKLM intersect at A. If KL = JM, JK = LM, and KA = MA, which…

A: Given: JKLM is a quadrilateral. KL≅JM. JK≅LM. KA≅MA. The objective is to find the additional…

Q: In the diagram below of AACT, D is the midpoint of AC, O is the midpoint at AT, and G is the…

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Q: A parallelogram with all four sides congruent is classified as a: Trapezoid None of the above…

A: Figure

Q: If the midpoints of the sides of an isosceles trapezoid are joined in order, then the quadrilateral…

A: In an isosceles trapezoid: One pair of sides are parallel. The other pair of sides are equal.…

Q: 2. If quadrilateral ABCD = quadrilateral EFGH, identify the congruent parts. 43 ZA = EF = ZB = FG =…

A: If quadrilateral ABCD congruent quadrilateral EFGH then identify all congruent part .

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Q: Give the most precise classification for the figure below. A. Quadrilateral  B. Rhombus C. Kite…

A: We are given the following figure.                           Quadrilateral is more general statement…

Q: 44. Prove: The diagonals of an isosceles trapezoid are congruent.

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Q: The segments joining the midpoints of consecutive sides of an isosceles trapezoid HOME form a…

A: Given that HOME is an isosceles trapezium, so HO||EM and HE≅OM(given). P, Q, R and S are the…

Q: Given: ABCD is an isosceles trapezoid Prove: AABE is isosceles D A B. Exercises 17, 18

A: Here ABCD is an isosceles trapezoid

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

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Q: Quadrilateral ABCD with BA I AD and BC 1 DC Zs B and D are Given: A Prove: supplementary

A: Two angles are said to supplementary if their sum is equal to 180∘. Given that, In quadrilateral…

Q: Consider the quadrilateral with vertices at M(0, 0), N(a, 0), P(a, b), and Q(0, b). Explain why MNPQ…

A: Given figure:

Q: In rhombus VENU, diagonals N and EU intersect at S. If VN = 12 and EU = 16, what is the perimeter of…

A: We know that the diagonals of a rhombus bisect each other. Given that VN=12, so VS=122=6EU=16, so…

Q: Are quadrilaterals A B E F ABCD and EFGH congruent a) if both are squares and AB = EF? b) if each is…

A: Given:

Q: %23 W Two sets of rails (railroad tracks are equally spaced) intersect but not at right angles.…

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Q: It is about proofs.

A: Draw a circle. Let AB is the diameter. AC and BD are two chords from the ends of the diameter so…

Q: In isosceles trapezoid QRST shown below, QR and TS are bases. If mZQ = 5x +3 and mZR = 7x – 15, what…

A: Given that TSRQ is an isosceles trapezoid Properties of isosceles trapezoid both pair of base…

Q: Let AABC have incircle C(O,r), and let the points of tangency of C(O,r) with BC , AC, AB be D, E and…

A: Given a triangle ABC, in which a circle is inscribed with center at O and radius r as shown in the…

Q: On the sides of a triangle ABC, squares ABDE, ACFG, BCJK are constructed externally to it. BF, AJ,…

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