A B M "The length of the median of a trapezoid is one-half the sum of the lengths of the D C two bases." Trapezoid ABCD with median MN MN = (AB + CD) Given: Prove:

Q: The pentagons JKLMN and PQRST are similar. Find the length x of QR. 6. 3.2 M K 4.8 3. 3.2 4.8 T. 3.…

A: Here, the pentagons are similar. Therefore, the ratios of the corresponding sides are same.

Q: In the figure at the right, WY bisects UV atY and UY bisects TW at X. For each situation, find the…

A: The figure is given as shown below: WY bisects UV at Y UY bisects TW at X We have to solve the…

Q: In isosceles trapezoid JKLM, JK = 7x -8, JM = 4x +7, and ML = 5x + 2. What is the length of JM? A. 5…

A: Given that: JK=7x-8,     JM=4x+7   and     ML=5x+2 An isosceles trapezoid JKLM, In isosceles…

Q: 4. Determine the length of the diagonals of the isosceles trapezoid below when KL =h+7 and UE = 4h –…

A: We are given with the trapezium KEUL and  KL= h+7 and UE=4h-25

Q: Use the Segment Addition Postulate and the diagram to find the value of x and the indicated length.…

A:

Q: M R. Use a coordinate proof to prove that midsegment MN of APQR is parallel to PR and half the…

A: option D: Place the triangle on a coordinate grid such that QR lies on the x-axis and PQ lies in the…

Q: 12. The perimeter of a parallelogram is 34 cm. if a diagonal is 1 cm less than its length and 8 cm…

A: 12. Given that P=34cm d=L-1=W+8 Find the dimensions of the parallelogram 13. Measures of a cross…

Q: In the diagram of AUVW below, A is the midpoint of UV, B is the midpoint of UW, C is the midpoint of…

A: Here we have to calculate lenth of vc ,

Q: A plane P cuts sphere O in a circle that has diameter 20. If the diameterof the sphere is 30, how…

A: We have given that we have a plane P that cuts the sphere with center O having diameter 30 units  at…

Q: ABCD is an isosceles trapezoid with median MN. If DC = 3x, AB = 2x², and EF = 7, then: %3D ME = %3D…

A:

Q: 5. [a] Using the method of describing Quadrangles and Townships as dis distance, in miles between…

A: Given: To explain the given statement as follows,

Q: One diagonal of a square measure (2x + 4) in. If the other diagonal measures 16 in, what is x? 3. 2.…

A: 2.one diagnal of a square measure (2x+4)in. other diagnal measure 16 in  Note: If multiple question…

Q: 1. Parallelogram EFGH is similar to parallelogram WXYZ. F G Y 2 in 6 in E 3 in What is the length of…

A:

Q: 7. Given that BOC is a diameter and that ADC = 90°, prove that AC bisects BCD. %3D -E 10.4…

A: Join A and O. Note that, OA is perpendicular to DE

Q: The base of a straight prism is a rhombus with a - diagonal of 3 cm and 4 cm and a diagonal of the…

A: According to the guideline we should have been able to solve only one question at a time  #7 as per…

Q: A walkway In a triangular park connects the midpolnts of the bordering sidewalks I and Il as shown.…

A:

Q: The diagonals of rectangle QRST intersect at P. Given thạt m/PTS = 34° and QS = 10 , find RT. P 34°…

A: Diagonals of a rectangle are congruent  (same length). Here QS and RT are diagonals of the…

Q: 6. ABCD is a trapezoid with median MN. If DC = 3x, AB = 2x2, and EF = 7, find x. M E A

A:

Q: The top and bottom ends of a windshield wiper blade are R = 26 in. and r = 14 in., respectively,…

A: Given that R=26 in r=14 in The wiper sweeps through 135 degrees. The objective is to find the area…

Q: S T 8in C E

A:

Q: The diagonals of rectangle QRST intersect at P. Given thạt m/PTS = 34° and QS = 10 , find RP. R P.…

A:

Q: Quadrilateral PQRS below is an isosceles trapezoid. Diagonals PR and QS intersect at %3D point T and…

A: Given:

Q: The quadrilaterals ABCD and JKLM are similar. Find the length x of JK. K 3. J 4.8 6. 3.2 L. M D

A: Quadrilateral ABCD and quadrilateral JKLM are similar  To find the length x of line segment JK of…

Q: 2. Quadrilateral MECQ is a trapezoid. ME || QC and AB as the median. If ME=12 and QC=24, what is AB?…

A: 2) Here, given that MECQ is a trapezoid with ME∥CQ and AB is a median.

Q: HJKL is an isosceles trapezoid with bases HJ and LK, and median RS. Find RS, if RS = 1 + 12 and HJ +…

A:

Q: Given AACE, B is the midpoint of AC and D is the midpoint of EC. C 1. BD |. 2. mz1 = 48, what is…

A:

Q: The total surface area of a cone with radius x and slant height 3x is equal to the area of a circle…

A: Solution:-The total surface Area of cone=πrl+πr2    radius=x    slant height=3x⇒πr3x+πr2…

Q: ABCD is an isosceles trepezoid with midsegment MN. MZBAD = 65° Find the following.

A: Given ABCD is a traperoid, with, AB = 22, CD = 14

Q: Trapezoid TRAP has median MN. 10. If mLT = 60 and mLA 150, then m LP ? and m LR %3D 11. If PM 15,…

A:

Q: 5. AB is a diameter of circle O and m AC=m DB D B. Given that ZAOC = (2x) ° and ZBOD = (x+24) °,…

A: We have, AB is diameter of the circle O and mAC⏜ = mDB⏜ ∠AOC = (2x)° and ∠BOD = x+24° To evaluate :…

Q: of a triangle side of length lengths Q3- The perimeter is ho centimetres.. is one 8 centimetrey'…

A: Given: The perimeter of a triangle is 20 centimeters. One side of of triangle is of length 8…

Q: 7. Let ABCD be a trapezoid with bases lengths BC = b and AD = a. Assume the diagonal of ABCD…

A: Consider the given information, Let ABCD be a trapezoid with bases Bc=b and AD=a. The diagonals of…

Q: Find the value of x that would prove this is an isosceles trapezoid. Then find each segment length.…

A: x=8.   the explanation is given in below step

Q: 8. Prove the converse part o median of a trapezoid is p parallel to the base; const to the base, and…

A:

Q: C. Given isosceles tranezoid ABCD with segments DA and CB as legs IfmZC= 3(x+5) and MZD=60, what is…

A: Simply use the property of isosceles trapezoid and simplify the equation.

Q: The diagonals of rectangle QRST intersect at P. Given thạt m/PTS = 34° and QS = 10 , find MZSRT. 34°…

A: In triangle RST angle S + angle(srt) + angle  (rts) = 180 90 + angle (srt) +34= 180 Angle (srt) = 56

Q: Let ABCD be an isosceles trapezoid with AD = CD, and BD are 15, 18, and 10, respectively. Let K be…

A: Given an isosceles trapezoid ABCD with AD=BC and AB<CD. Distances from A to the lines BC,CD and…

Q: The top and bottom ends of a windshield wiper blade are R = 34 in. and r = 10 in., respectively,…

A: AREA OF A SECTOR OF A CIRCLE WITH RADIUS r ISA = 12 r2 ϕWHERE ϕ IS THE ANGLE SUBSTENDED AT CENTRE OF…

Q: 4. Identify the following: Trapezoid CARE is an isosceles trapezoid. a. Bases: b. Parallel segments:…

A: 4) Parallel sides of trapezium are called as bases of trapezium . Therefore, a) Bases are AR and CE.…

Q: Where e, and ez are the lengths of two corresponding edges of similar prisms or pyramids, the ratio…

A:

Q: The pentagons JKLMN and PORST are similar. Find the length x of RS. 4 N 6.4 T 6.4 3 4.8 K 8

A: For similar polygons, the ratio of their corresponding sides are equal.

Q: Given: Quadrilateral POST is an isosceles trapezoid with OSI| PT, ER is its median. 3. If OS=2x-6,…

A:

Q: The diagonals of rectangle QRST intersect at P. Given thạt m/PTS = 34° and QS = 10 , find mZQTR . 34…

A:

Q: M and N are the midpoints of the legs of trapezoid EFGH. If bases EF and HG have lengths 2r + s and…

A: Given:  M and N are the midpoints of the legs of the trapezoid EFGH. The length of bases EF and HG…

Q: 1 Given: Quadrilateral POST is an isosceles trapezoid with OS || PT. ER is its median. a. If OS = 3x…

A:

Q: Kis the midpoint of segment L. JK = 6x and KL = 3x +3. What is the length %3D of JL? * 12 18 36

A:

Q: The quadrilaterals ABCD and JKLM are similar. Find the length x of LM. J 4 2.4 D. 1.8 2. K 4.2 C 7 x…

A: Here ,     ABCD & JKLM quadrilateral are                       similar so ratio of…

Q: A 16-foot monument is composed of a rectugular prism and square pryamid as shown in the diagram.…

A: Surface area of the base square=6×6=36 feet2. Surface area of each rectangle side is =10×6=60 feet2.…

Q: The diagonals of square DEFG intersect at point H. What is the measure of ZGHF?

A: The diagonals of a square are perpendicular bisectors of each other. That means, they intersect each…

Q: F is the measure of ZDGH? 5.

A: Given ,  The diagonals of square DEFG intersect at point H We hace to the measure of ∠DGH