Which of the following statements describe the properties of a trapezoid? A) The bases are parallel. B) The diagonals are congruent. C) The opposite angles are congruent. D) Adjacent angles along a leg are supplementary.

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

A:

Q: Which of the following are congruent on an isosceles trapezoid? Opposite angles Legs Bases All of…

A: Given that a trapezoid is isosceles trapezoid. We need to find which of the given options are…

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: Quadrilateral ABCD is a parallelogram. If consecutive angles are congruent, which statement must be…

A: Given that Quadrilateral ABCD is a parallelogram and consecutive angles are same

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

A: Mid pint of points (x,y) and (p,q) is x+p2,y+q2  In ROST quadrilateral mid point of OR is…

Q: Opposite angles are congruent in a rhombus. O True O False

A: We have to tell opposite angles are congruent in a rhombus

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

A:

Q: Every lateral face in a prism is a triangle. O True O False

A: A prism is a 3-D shape with flat sides, it has 2 ends which are of same size and shape.

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

A: Given: To prove that a given quadrilateral is a parallelogram, show that two pairs of opposite sides…

Q: What additional information is needed in order to prove that the triangles are congruent by the ASA…

A: Given,

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

A:

Q: Opposite angles are congruent in an isosceles trapezoid. O True O False

A: In Isosceles trapezoid,

Q: Suppose that ABCD is a trapezoid, with AB parallel to CD. Let M and N be the midpoints of DA and BC,…

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: 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: Drag the postulate or theorem that proves the triangles are congruent. b. AOKR e AAHR C. AZWX EAYXW…

A: Solution of all three parts are given .

Q: L is the midpoint of KN and MP, which rule will be used to justify and prove that both triangles are…

A: Two triangles are said to be congruent if their corresponding sides are of equal length and their…

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: 40. As marked and with LH = LC, a) are quadrilaterals ABCD and EFGH congruent? b) is DC = EH?

A: Congruency of quadrilateral using congruency of triangle

Q: Which postulate proves these two triangles are congruent? A. ASA B. SAS C. None, not congruent D. HL

A: We can solve the problem by the property of congruence.

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

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Q: Given the information below, use the drop down menus to correctly complete the statement. Glven: LAN…

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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: 2. Given: ABCD is a parallelogram, DE I AF, and CF 1 AF Prove: DE = CF D C Statement Reason A E

A:

Q: For a quadrilateral to be a square, the diagonals must be con para llel grue nt perp endi cula con…

A: We can find the answer as below from the options

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: All rhombuses and kites have diagonals that are perpendicular to each other. O True O False

A: True

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: If JKLM is a rhombus, MK = 30, NL = 13, and ZMKL = 41°, find each measure. %3D %3D K NK = JL = angle…

A:

Q: Given that AD and AB are congruent, and DC = BC, use a triangle congruence criterion to prove that…

A: Prove that Angels DAC and BAC are the same size

Q: the accompanying figure, ABCD is a trapezoid in which AD||BC and AD> BC. Prove that if AB CD, then…

A:

Q: Given quadrilateral ABCD is a rhombus and MZABD= 32°, find the measure of each numbered angle below.…

A: since the diagonals of a rhombus intersect at right    angles ∠2=90°…

Q: In the accompanying figure, ABCD is a trapezoid in which AD|BC and AD> BC. Prove that if AB=CD, then…

A: To prove the given angle

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

A: Figure

Q: What additional information would allow you to safely conclude that the quadrilateral below is a…

A: Given

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

A:

Q: For this question, assume the Parallel Postulate P-1 (a) Define what it means for DABCD to be a…

A: parallel postulate: When any traversal is passing through two lines or the transversal is falling on…

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

A:

Q: Consider the quadrilateral with vertices at A(0, 0), B(a, 0), C(b, c), and D(d, c). Explain why ABCD…

A: Trapezoid: Trapezoids are quadrilaterals which have two parallel sides and two non-parallel sides.…

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

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Q: If the quadrilateral is a parallelogram, find the missing measures. %3D %3D Given PQ = 24, PS = 19,…

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Q: Which postulate proves these two triangles are congruent? A. HL B. SSA C. SAS D. None, not congruent

A:

Q: If a quadrilateral has EXACTLY 3 congruent sides and the 4th side is parallel to one of the other…

A: To write that the given statement is true or false

Q: Consider trapezoid ABCD with AB || DC. M and N are midpoints of AD and BC, respectively. If AB = 12…

A: Consider the trapezoid as shown in the question. Here, the objective is to find MN

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

A:

Q: In an isosceles trapezoid, each pair of base angles is congruent. True O False

A: An isosceles trapezium is a trapezium in which the non-parallel sides are equal in length.

Q: GIVEN: Quadrilateral ABCD with AC 1 BD [See Figure 8.24(a).]; AC d, and BD = d2. PROVE: AABCD =…

A: Given that, in quadrilateral ABCD, AC is perpendicular to BD. AC = d_1  BD = d_2 Let AE = h Then, CE…