25. Given: Quadrilateral PQST with midpoints A, B, C, and D of the sides Prove: ABCD is a O

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: - equal rectangular lots are enclosed by fencing the perimeter of a rectangular lot and then putting…

A: let the length of the lots =L and breadth of the lots= x area of the lots = L×x It is given that…

Q: What is the first sentence of an indirect proof of the statement shown? 2. AABC is equilateral. 4. a…

A: In indirect proof of statement, 1st step is to write negation of given statement and with all the…

Q: A trapezoid is a quadrilateral that has one pair of parallel sides. O True O False

A: Given query is to find statement is true or false.

Q: 28.) Given: Quadrilateral ABCD with AB = DE Prove: DC > AB 230 3.3 HNEDE2 2KEICH OE B &2EW (C C E

A:

Q: 4. If C, P, and T are the midpoints of the sides of AAEN, PT 13, EN = 43, and CP 29, find each…

A:

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

A:

Q: For regular octagon ABCDEFGH, a) are quadrilateral ABGH and quadrilateral BCFG congruent? b) are…

A: Given: A regular octagon ABCDEFGH is given. To determine: a) Are quadrilateral ABGH & BCFG…

Q: Prove a quadrilateral with vertices G(1,1), H(5,3), I(4,5) and J(0,3) is a rectangle. 34 ES 10

A:

Q: A parallelogram is defined as a quadrilateral that has one pair of opposite congruent sides. O True…

A: False

Q: A quadrilateral is defined as a parallelogram if it has two pairs of parallel sides. True O False

A: Using property of parallelogram,

Q: Which statement describes the construction being illu on the rectangle shown? E A G O A line segment…

A:

Q: Which statement is true if AMNP - AXYZ? A. Corresponding angles of A MNP and A XYZ are always…

A:

Q: EFGH is a quadrilateral inscribed in O P with m Z E =72° and m ZF = 49°. Find m Z H. H E

A: If a quadrilateral is inscribed in a circle, such quadrilaterals are called cyclic quadrilateral.…

Q: Given that a parallelogram is officially defined as a "quadrilateral with opposite sides that are…

A: We need to prove the property.

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: 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: 2, Giyen that <M= LQ, MP =6, PR=4, and NQ= 11, Find PQ Answer:8 IN A ABC, mLC=90° and ACE BC. If AB…

A:

Q: Prove that if a Pythagorean Triangle has even sides, then its perimeter, P, divides its area, A.

A: We have to prove perimeter P divides area A.

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: Let AABC and ADEF are similar triangles and their areas be respectively 64 cm and 121 cm. cm? If EF…

A: as per bartleby guidelines i can do first question only

Q: Suppose point Y is the bisector of segment XZ. If XY = 5.6 cm, what is the length of XZ? If needed…

A:

Q: In AGHI, GI is extended through point I to point J, MZIGH = (x + 16)°, mZHIJ= (4x – 12)°, and m/GHI…

A:

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

A:

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

A: Given

Q: 4. If AB = AD = y +5, BC = y, and CD =+ 3, find the perimeter of ABCD. %3D

A: 4. The figure with AB = AD = y+5, BC = y and CD = y2+3 is given by To evaluate : The perimeter of…

Q: In the given figure, PQRS is a parallelogram, whose diagonals PR and SQ intersect at O. If OR = 7.5…

A: it is given that 'OR' =7.5 cm

Q: Consider Quadrilateral ABCD inscribed in circle E. If m∠A = 120°, what is the m∠C

A:

Q: M Which method proves the triangles must be congruent?

A:

Q: What is Line segment ABZ and AC A and Proof that these 12" 300 1) C 2 triangles are Similar '8 = }/…

A: Given that a figure containing two triangles. Prove that the two triangles are similar.…

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

A:

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

A:

Q: An isosceles trapezoid has two congruent legs. O True O False

A: Solution is given below:

Q: 16. Suppose that ABCD is a quadrilateral inscribed in a circle and that AC is a diameter of the…

A: We have to find measure of the angles.

Q: A regular octagon can be divided into 8 congruent isosceles triangles, one for each of its sides. O…

A: .              A Regular Octagon

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

A: Given

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: Consider a rectangle of sides ? and ? with fixed perimeter of 40 units. Find the maximum and minimum…

A: Consider a rectangle of sides ? and ? with fixed perimeter of 40 units. Find the maximum and minimum…

Q: 1. Two consecutive sides of a parallelogram measure 3 m and 8 m, respectively. What is the perimeter…

A: "Since, you have asked multiple questions, we will solve the first questionfor you. If you want any…

Q: in ABCD, lines BH is perpendicular to AD and line BG is perpendicular to CD. How are ABH and CBG…

A: Given problem:-

Q: ) Oppositely directed to v = (15, –18) and half the length of v. w = (?, ?)

A:

Q: 4. Given: ABCD is a quadrilateral, BD bisects AC at X, and ZCAB = LACD Prove: ABCD is a…

A: Explained below

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

A:

Q: A,B, and Care midpoints of sides DF.DE,& FE respectively. If BC-11, AC=13, and AB=15, find the…

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: Given: Prove: AE bisects BD, BD bisects AE A ABC A ED

A:

Q: 2. What is line r called and what are 21 and 22? 1

A: Given that p and q are two lines and r is the transversal line.

Q: D Quadrilateral QUAD is inscribed in circle C as shown with mZQ = x°. Which of these is mZA? O mLA =…

A: Here ADQU is cyclic quadrilateral . We know that in cyclic quadrilateral the sum of opposite angles…

Q: 1. List the pairs of congruent angles and the extended proportion that relates the corresponding…

A: If a polygon is similar to other polygons, then their corresponding angles are equal and the ratio…

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

A: