Construct the perpendicular bisector of each. Must show all construction marks. 1) 2) 3) 4) 5)

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

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

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Q: Which quadrilaterals will ALWAYS have at least one line of symmetry. Select ALL that apply. OKite…

A: Lines of symmetry  Kite one line of symmetry Trapezoid No lines of symmetry

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: 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: Select the most precise name of a quadrilateral MNOP given the coordinates of M,N,O, and P  M(1,1)…

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Q: 3. In parallelogram ABCD shown below, the bisectors of ZABC and ZDCB meet at E, a point on AD. If…

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Q: 1. In the accompanying diagram of parallelogram ABCD, DE bisects ZADC and mZA = 44. Find %3D MZCDE.…

A: Dear student as per our rule in one session we can only solve one question. Please post the other…

Q: Select the most precise name of quadrilateral MNOP given the coordinates of M, N, O, and P. M(1, 1)…

A: All of the given quadrilateral, have given following properties. Parallelogram:  1. Opposite sides…

Q: When the diagonals of rhombus MNPQ are drawn, how do the areas of the four resulting smaller…

A: Characteristics of a rhombus All sides are equal.   (i) Diagonals bisect each other at right…

Q: Given quadrilateral WXYZ with coordinates W(4, 5), X(9, 4), Y (8,0) and Z(3, 1). Prove or disprove…

A: Quadrilateral is parallelogram if diagonals bisect each other

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

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Q: 11 Terra recognized that quadrilateral QUAD could be Inscribed In a crde with dlameter UD, as shown…

A: Theorem  The angle subtended by an arc at the center is double the angle subtended by it at any…

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: Select the most precise name of quadrilateral MNOP given the coordinates of M, N, O, and P. M(1, 1)…

A: We first plot the coordinates From the image, we see it is neither rectangle nor square.

Q: Classify the quadrilateral In as many ways as posslble. Select all that apply. A quadrilateral…

A: Square is a quadrilateral whose sides are equals and any two sides makes right angle.  So the…

Q: 6. Classify the following quadrilaterals (use the most specific name). a) b) c) 94° noltemmoini…

A: Given,  The quadrilaterals in (a), (b) and (c).  We have to classify the quadrilaterals

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

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

Q: 7. Let ABCD be a cyclic quadrilateral such that sides AB and DC are perpendicular as shown. Let a,…

A: Given: A cyclic quadrilateral, ABCD such that sides AB and DC are perpendicular as shown in the…

Q: When you know that two consecutive sides of a parallelogram are congruent,you can prove that the…

A: properties of parallelogram  (1) opposite sides are equal  (2) opposites angles are equal  (3)…

Q: Which of the following best describes the construction? B

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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: Consider the quadrilateral below. Which reason validates the statement: "The diagonals of a…

A: The solution is :

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

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Q: Find the length of segment AO: * ZO, YO, and XO are the perpendicular bisectors of AABC. A 7.4 X 3.4…

A: answer is AO = 8.14   explanation is given in below step

Q: Which two triangles are congruent by the AAS Theorem? Complete the congruence statement. Y W

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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: Suppose that ABCD is a trapezoid, with AB parallel to CD, and diagonals AC and BD intersecting at P.…

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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: m ZP = determine whether each of the following quadrilaterals is a parallelogram. Use the given…

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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: 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: 5. State whether each quadrilateral must have congruent diagonals. A parallelogram O Yes O No B…

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

A: Correct option :- C Detailed Explanation :-

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: A trapezoid is a four-sided figure that contains one pair of parallel sides. Which sides of the…

A: Given: The trapezoid MNPQ given by

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

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Q: 9. Let ABCD be any quadrilateral. Denote the midpoints of the sides by E, F, G, and H. Prove that…

A: use the property of parallel lines and midpoint theorem to prove EFGH is parallelegram

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

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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 the figure, quadrilateral ABCD is inscribed in O0. Also, CF 1 BD. a) Explain why AABE ~ ADFC. b)…

A: According to AA property of similarity, if two corresponding angles are congruent in two triangles,…

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

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Q: In the coordinate plane, quadrilateral ABCD has vertices A(-2, 3), B(4, 5), C(10, -1), and D(8, -9).…

A: The mid-point joining the points x1,y1 and x2,y2 is represented as x1+x22,y1+y22.

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: Which type(s) of quadrilateral(s) is(are) necessarily cyclic? a) A square b) A parallelogram

A: A cyclic quadrilateral or inscribed quadrilateral is a quadrilateral whose all vertices lie on a…

Q: o prove that a given quadrilateral is a parallelogram, show at least one pair of opposite angles is…

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

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Angles in Circles

Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.

Arcs in Circles

A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.