The Segment-Addition Postulate can be generalized as fol- lows: "The length of a line segment equals the sum of the lengths of its parts." State a general conclusion regarding AE based on the following figure. A B DE

Q: Given: Quadrilateral POST is an isosceles trapezoid with OS I PT. ER is its median. a. If OS = 3x -…

A: Given quadrilateral POST is an isosceles trapezoid with OS∥PT and ER is its median.

Q: Is the following statement always true, sometimes true, or never true? Justify your response. Given…

A: Here we describe the given statement problem.

Q: The following diagram can be used in the proof that the sum of the lengths of any two sides of a…

A: Given diagram, The diagram says-->   In right triangle ABC, a point is taken D on the side BC.…

Q: Using the Segment-Addition Postulate, state a conclusion regarding the accompanying figure. . A B

A: Using the segment-Addition Postulate, state a conclusion regarding the accompanying figure. ______

Q: 1. Point Blies on line AC, &shown on the coordinate plane below. y B D A CD 32, what is the ratio BD…

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Q: In the angle addition postulate, the sum of the measures of two individual angles is greater than…

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Q: A line segment is bisected if its two parts have the same length. Which line segment, AB or CD, is…

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Q: 4. Given AM CM and BM DM Prove ABCD is a parallelogram. A B (Prove each opposite sides are congruent…

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Q: Complete the proof to prove line m and n parallel given 48 = (4x + 25) and6 (5x + 12) and r 13 2 3/6…

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Q: B || Given: Congruent parts as marked in the diagram. Prove: B = LF (Hint: First draw two auxiliary…

A: Step 1: Connect AC and AE from A to C, and A to E respectively. Step 2: Consider triangles ACD and…

Q: hich of the following statements is true? B A E O A. point E is the midpoint of segment AT B. the…

A: Answer :- Point E is the midpoint of segment AC.

Q: For coplanar points A, B, and C, suppose that you have used the Distance Formula to show that AB =…

A: Given that, A, B, C are coplanar points, such that, AB=5, BC=10 and AC=15 These distances conclude…

Q: A convex quadrilateral has angles in the ratio 1:2:x:4. Give all possible integer values of x.

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Q: Which of the following is always true about the lengths of the SHD and SD of skew lines? Choose the…

A: Given question Which of the following is always true about the lengths of SHD and SD of skew lines?…

Q: Prove the following both indirectly in paragraph form and also in a two column formal proof format:…

A: Let ABC be a triangle with sides AB, BC, and CA. Also, M is the mid-point of AB and mc is the median…

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: ABCD is a quadrilateral with AB equal and parallel to DC. Prove that AD is equal and parallel to BC.…

A: I hope you are asking for question 6. We solve the given problem using congruent triangles. SAS…

Q: The points H, I, J and K all lie on the same line segment, in that order, such that the ratio of HI…

A: Explained below

Q: 1. Given that the yellow segments are midsegments, which set of segments are parallel?

A: We are given that yellow segments are mid-segments. Now, we need to find the segments that are…

Q: The fact that a parallelogram has pairs of parallel sides is stated in the definition of a…

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Q: Consider the diagram to the right below and complete the proof below. E E is the midpoint of AT…

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Q: A student claims that the circumference of a semicircle with diameter AB is equal to the sum of the…

A: Circumference of circle=πD  D = diameter

Q: 3 Find the coordinates of point C on segment [AB], shown below, such that the length of [AC] is - of…

A: Given

Q: 7) Given: Parallelogram ABCD with diagonals AC and BD intersecting at E. sement Prove: AADE ACBE…

A: Given: As per the instruction, we will be proving ∆ADE≅∆CBE. We have that the parallelogram ABCD…

Q: Match the correct reason to the statements given in the proof below. M N R P Given: MNOP is a…

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Q: Af noon, ship A is 20 kilometers north of Ship B. Ship A is fraveling south at 50 kilometers per…

A: Ships at Initial positions = A and B Positions of ships after time t =C and D Then AC=50t (in Km)…

Q: The points H, I, J and K all lie on the same line segment, in that order, such that the ratio of HI…

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Q: 1. Given: Quadrilateral POST is an isosceles trapezoid with OS || PT. ER is its median. a. If OS =…

A: Draw the diagram and use the property of isosceles trapezoid.

Q: Given: AE = AB = CD B is the midpoint of ED Prove: AAEB =ACBD C S 18

A: Given that, AE≅ CBAB≅ CDB is the midpoint of ED                                           To prove…

Q: Which mathematician is known as the father of projective geometry? Bolyai Desargues Poincare Reimann

A: We know that Projective geometry, branch of mathematics that deals with the relationships between…

Q: 1 The diagram below shows the construction of AB ( through point P parallel to CD. P B C Which…

A: First we need to recognize the angles which are used in construction and then opt for the respective…

Q: Answer this problém šet ön the ap 8.Points C, O, V, I, and D are connected by a line segment to each…

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Q: In the proof below, one of the statements is XW = YZ. What is the reason for this statement? Given:…

A: The given data is: ∆XWZ≅∆XYZ, and ∆WZY≅∆WXY To prove: Quadrilateral XYZW is a parallelogram.

Q: On your paper, draw two segments roughly like those shown. Use these segments in Exercises 1-4 to…

A: Given that

Q: What additional piece of information would you need to use the Side-Angle-Side Triangle Congruence…

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Q: T. A. Prove that point A is the midpoint of line segment CB. Reason Statement 1. Given 1. TAE BA 2.…

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Q: Given A ABC, let M be the midpoint of segment AB and let N be the midpoint of segment BC. Then 2…

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Q: c) Two poles, one 6 m tall and one 15 m tall, are 20 m apart. Alength of wire is attached to the top…

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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: A straight road tunnel will be built between points A and B. How long will the tunnel be? A: 611…

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Q: If M and N are the midpoints of nonparallel sides HJ and LK of trapezoid HJKL, then MN= 1/2(?? +…

A: Solution

Q: In APQR, PR is extended through point R to point S, mZPQR = (3x + 12)°, mZRPQ = (3x – 11)°, and…

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Q: Suppose you wind a thread on a pool of 1 cm. Points K, L, M, N, and so on until S are marked on the…

A: We have to find the length of thread in terms of π.

Q: If EF is perpendicular to AB, then what are the measures of ZCGF and ZBHE?

A: Given,           EF¯ is perpendicular to AB¯.

Q: Using the Segment-Addition Postulate, state a conclusion regarding the accompanying figure. A P B

A: Concept: According to Segment-Addition Postulate, if two points A, B are given on a line segment,…

Q: Given a line segment with length​ a, what special parallelograms meet the following​ condition? Show…

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Q: Let ABC be a triangle and let X and Y be points on AB and AC, respectively. Let AX = 6AY = 3, XB=1,…

A: Given information: ABC be a triangle and let X and Y be points on AB and AC, respectively. AX=6,…

Q: 3. If a line through the vertex A of an equilateral triangle ABC meets BC in F and the circumcircle…

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Q: 13. Given two segments with lengths x and y (x not equal to y), what special parallelograms meet the…

A: Given that two segemnts with lengths x and y where x≠yOur Aim is to tell the type of parallelogram…