Quadrilateral RSTU with diagonal US ZR and ZTUS are right Zs TS > UR Given: Prove: U

Q: Give two formulas that can be used to find the area of a rhombus. (Hint: Every rhombus is also…

A: Rhombus: Consider a rhombus ABCD, having two diagonals, i.e. AC & BD. Step 1: Find the length of…

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A: The Proportional Segments Theorem states: If two transversals line intersect three or more parallel…

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Q: The quadrilateral ABCD is inseribed in the eircle centered at the point o. B(2y)°

A: Given that the quadrilateral ABCD is inscribed in the circle centred at the point O.

Q: ABCD is a quadrilateral such that AB =b.AD = d, AC =mb+pd. Show that the area of the quadrilateral…

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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…

Q: Given: Rectangle RSTU, M is the midpoint of RS. Prove: A UMT is isosceles.

A: In this question we use similar triangle properties to solve.

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

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Q: 10. Prove that quadrilateral A(1,-2), B(13,4), C(6,8) and D(-2,4) is a trapezoid, but is NOT an…

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Q: B. 1. Given: Quadrilateral ABCD is a parallelogram with diagonals AC and BD intersecting at E. Prove…

A: As per our guidelines we are supposed to answer?️ only one question. Kindly repost other question as…

Q: 3. Consider an acute angled triangle ABC and a point D on BC. Find points (by construction) E on AC…

A: Given:      An acute angled triangle ,inscribe in it a triangle whose perimeter is minimum.…

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A: Given △ABC Let X be any point in the plane so that AX, BX, CX are cevians of △ABC given to prove…

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

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Q: the centroid of triangle ABC is point p. point m is the midpoint of line BC, and MP= 252 cm. What is…

A: We have to solve the problem

Q: Match the correct reason to the statements given in the proof below. R B Given: HS = SB, RS = SO, HR…

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Q: AQRT is equilateral, ZTQU SRT, and QU RS. Complete the proof that ARST AQUT. satrment Reason Chee O…

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Q: The incenter of a triangle is a point where all angle bisectors of a triangle intersect. Point R is…

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Q: Show that the sum of the two perpendiculars drawn from any point in the base of an isosceles…

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Q: The quadrilateral MNOP is a paralielogram. Its diagonals are congruent and intersect at point Q Liam…

A: Given query is to find the correct option for which MNOP is a rectangle.

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: a. Kite LMNO with diagonals LNand MO intersecting at point X. b. A pyramid with a rectangular base.

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Q: . Consider an acute angled triangle ABC and a point D on BC. Find points (by construction) E on AC…

A: We need to construct points.

Q: A quadrilateral has vertices A = (0, 0), B = (2,4), C = (0,5), and D = (-2, 1). Prove ABCD is a…

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Q: In ARST, SU is the perpendicular bisector of RT and U lies on RT. Which statement(s) must be true?…

A: GivenRST is traingle.SU is perpendicular bisector of RT

Q: a plane quadrilateral ond E drawn paralle I t is drawn in G. Prove that ABCD • Pont on AD is IS EF…

A: Given : ABCD is a plane quadrilateral and E is any point on AD.  EF is drawn parallel to DB to meet…

Q: 1. The circular track is tangent to each side of Quadrilateral ABCD, and all of the angles in…

A: Hi, since you have asked multiple questions, we will solve the first question for you. If want any…

Q: The caudrearoot af x subtrabted from twice X is equal to sove n .In sym bo. ト,2,3,43; Bこt2,46,83.…

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Q: 11. In a quadrilateral ZA = 63°, ZB = 54°, ZC = 136°, ZD = 107° Are these the measures of a…

A: In trapezium there are two parallel lines  I.e. two pairs of co interior angles are supplementary.

Q: Prove: The diagonals of a rhombus divide the rhombus into four congruent triangles.

A: We need to prove that the diagonals of a rhombus divide the rhombus into four congruent triangles.…

Q: A quadrilaterial with exactly one pair of opposite sides parallel is classified as a: O Trapezoid…

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Q: Given: Rectangle RSTU, M is the midpoint of RS. R Prove: A UMT is isosceles. IT

A: Please refer the attached image for complete solution.

Q: Find the area of the parallelogram that has u =i-j+ 2k and v = 2j +k as adjacent sides. %3D NOTE:…

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Q: The middle points of the three diagonals of a complete quadrilateral are collinear. Let ABCD be the…

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Q: Prove that in rhombus EFGH, the diagonals FH and EG are perpendicular bisectors of each other. A…

A: The given diagram:                 The above diagram is a rhombus EFGH. To prove:   The diagonals FH…

Q: Assume that a = b + d. a. Show that the trapezoid is isosceles. b. Prove that its diagonals are…

A: Given  Here assume that a = b + d.

Q: 8. Find the exact perimeter and area of the segment shown, given that mz0 60° and OA %3D %3D 12 in.

A: Please see the below picture for detailed solution.

Q: ABC is an equilateral triangle of side 3 units. The points P, Q lie on BC, CA re- spectively and are…

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Q: Prove Green's theorem for the rectangle defined by xo < x < x1 Yo < y < Y1 (a) directly, and (b)…

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Q: 3. A diagonal is constructed inside Quadrilateral ABDE. Find the length of the diagonal. Insert…

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Q: 14 12 10 PARK 4. 2. 2. 10 12 14 00

A: By using the opposite sides parallel and conjugate theorem we show that the polygon which represent…

Q: Let ABCDE be a regular pentagon, assume that each side has length 1. Let F be the intersection point…

A: Given : ABCDE a Regular Pentagon. Each Side has length 1. Intersection Point of AD and EC is F. Show…

Q: Write a complete proof to prove that the base angles of an Isosceles trapezold are congruent. Gven:…

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Q: ABCD is a parallelogram DB intersects AE at point F Given: AF АВ Prove: EF DE

A: Given: ABCD is a parallelogram DB¯ intersects AE¯ at point F. To prove: AFEF=ABDE Proof: In △AFB and…

Q: In right triangle ABC, 90°. Also, BC = a, b, and AB mZC = = c. Construct the bisector of ZB so that…

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Q: W Q 4. Which congruence postulate can be used to prove AEDA ACDA if AACE is equilateral and ED - CD?…

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Q: A quadrilateral has vertices A = (0, 0), B= (2,4), C = (0,5), and D = (-2, 1). Prove ABCD is a…

A: Given :

Q: 2. ABC is an equilateral triangle of side 3 units. The points P, Q lie on BC, CA re- spectively and…

A: △ABC is equilateral triangle,  AB= AC = BC = 3 AQ= CP = 2 ,      BR=1 QC= AC - AQ        = 3-2 QC…

Q: 1. PORST is a pentagon inscribed in a circle. If Z RPS = 30°,ZQSR = 32°,ZPQS = 68° and SR = TS, find…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…