Prove that the diagonals of a trapezoid divide themselves proportionally.

Q: Must three parallel lines be coplanar? Draw a diagram to illustrate your answer.

A: To write: Three parallel lines be coplanar or not and to draw the diagram.

Q: The diagonal of a cylinder measures 5m and its diameter is 3m. What is the lateral area of the…

A:

Q: The diagonals of an isosceles trapezoid ABΓΔ (ΑΒ // ΓΔ) intersect at O. If E, Z, H, Θ are the means…

A: Given an isosceles trapezoid ABΓ∆ . Its diagonals intersect at O. Given that the mid - points of OA…

Q: A parallelogram must be a rectangle when its A diagonals are perpendicular B diagonals are congruent…

A: Given: A parallelogram  must be a rectangle when its diagonal A) diagonal are perpendicular…

Q: In order to kill a bird 20m up in the air, a boy uses his catapult to shoot a pebble vertically…

A: given that  bird is at h=20m up in the air. a boy uses his catapult to shoot a pebble vertically…

Q: A real estate company wants to build a parking lot along the side of one of its buildings using 600…

A:

Q: On moving day, Guyton needs to rent a truck. The length of the cargo space is  10   ft , and the…

A:

Q: An octagon has ___ sides.

A: An octagon has ___ sides.

Q: Show that quadrilateral RSTV is an isosceles trapezoid. y v (a + d, e) T (c - d, e) R (a, b) S (c,…

A: We have to show that quadrilateral RSTV is an isosceles trapezoid. A trapezoid is a quadrilateral…

Q: A gutter having a triangular cross section is to be made by bending in the middle of a strip of…

A: Here is the solution of the given problem.

Q: Are these planes parallel?

A: The given planes are 2x+y-z=2 ............. (1)                                   2x+3y+5z=4…

Q: J (1,4) M(-1, 2) К(3,2) L (1, – 3)

A:

Q: Prove that the midsegment of a trapezoid is parallel to the bases and its length is the average of…

A: To prove that the mid-segment of a trapezoid is parallel to its base, first consider a trapezoid…

Q: A semielliptic archway has a height of 15 feet at the center and a width of 50 feet. The 50 foot…

A: Given that the semi elliptic archway of height of 15 feet at the centre and the width of 50 feet,…

Q: The diagonals of rectangle QRST intersect atP. Given that m/PTS = 34° and QS = 10 , find mZQTR. 34°

A:

Q: Prove that the diagonals of an isosceles trapezoid are congruer D(c, b) C(a-c, b) b A( 0,0) В (а, о)

A: A plane figure formed by three or more non-collinear points joined by line segments is called a…

Q: The area of the parallelogram with two adjacent sides that are formed by V = i+j-2k and w= 2i-j-k is

A: Given,          The two adjacent sides vectors are v→=i+j-2k and w→=2i-j-k.We know that,…

Q: Two sides of a triangle have lengths a and b, and the angle between them is u. What value of u will…

A: we know that when two sides of triangle is x and y given and angle between them is θ then area ∆of…

Q: .-Calcula "x", si el área de la región del trapecio ABCD es 22 cm². BEX -C 4 m 7 m-

A: Given,           The area of ABCD is 22 cm2.

Q: Use the triangle and line proportionality property to prove if the line is parallel to a side of the…

A: We know that  if a line divides any two sides of a triangle in the same ratio, then the line is…

Q: Find the length of the longer diagonal in a rhombus with sides of length 12 and a smaller diagonal…

A:

Q: If the four straight lines ax + by +p=0, ax + by +q = 0, cx + dy +r=0 (p-a)(r-s and cx + dy + s = 0…

A: The given equation of lines of parallelogram are  ax + by + p = 0,   ax + by + q =0 m1 = -a/b c1 = -…

Q: According to Cavalieri's Principle, which pair of shapes would have equal volumes?

A: the volume of the cone, pyramid , cylinder , sphere , rectangular prism , are given by  volume of…

Q: Find the area of the parallelogram that has u = (1, 3, 0) and v = (−1, 0, 2) as adjacent sides.

A: Now cross product is,

Q: If the four straight lines ax + by + p = 0, ax + by + q = 0, cx + dy + r = 0 |(p-4)(r-s) bс - ad and…

A:

Q: Every trapezoid has two parallel bases. O True False

A:

Q: Prove using coordinate plane that the diagonals of an isosceles trapezoid are congruent.

A:

Q: Determine if MN is parallel to JL 15 王 18

A: By basic proportionality therom if a line divides any two sides of triangle in same ratio then the…

Q: If the four straight lines ax + by + p= 0, ax+ by +q= 0, cx+ dy +r=0 |(p-g)(r-s)| and cx + dy + s =…

A:

Q: Prove that the diagonals on the parallelogram in the figure intersect at their midpoints. (b, c)…

A: let A=(b, c) B=( a+b , c) D=(0,0) C=(a,0)

Q: A semielliptic archway has a height of 15ft at the center and a width of 50 ft. The 50 ft width…

A: Given Data The height of the semi-elliptic archway is c=15 ft. The width of the semi-elliptic…

Q: Does the perimeter of a regular octagon vary directly with the length of an edge of the octagon​?…

A: Consider   P be the perimeter of Regular octagon   and    S  is the length of each  edge

Q: What is the area of the decagon?

A: Given, A  regular decagon, Perpendicular distance from center to  the side of the decagon is 12.3 in…

Q: Prove that the diagonals of a trapezoid divide themselves proportionally.

A:

Q: A garden was enclosed by a triangular fence with sides AB, BC and CA measured 8 m, 9m and 12 m…

A: Given that: sides of triangle ABC as AB=8m, BC=9m and CA=12m                     Length of rope =…

Q: The area of a rhombus is 215 sq. in. and one diagonal is 18 in. Find the other diagonal.

A: Refer to the question we need to find the length of diagonal if one of the diagonal's length is 18…

Q: prove that the angles that the lateral ribs of a two-sided trapezoid form with the bases of the…

A: To prove that the angles that the lateral ribs of a two-sided trapezoid form with the bases of the…

Q: A town park was constructed to form a shape of a trapezoid. The base measures 128meters and 92…

A:

Q: Y ZWXY = LDEF; WY = DF; all radii are congruent. 12.6 5. 5. 4.9 %23 6.3 %23

A: Since we have given    To Find: Value of x

Q: What is the volume of the parallelepiped with the sides i, 8j-k, and 9i+7j-k?

A: Given that, Find the volume of parallelepiped.

Q: Prove that the area of a square whose diagonal has length d is A = ¿d?.

A: The length of the diagonal of a square is d. Now let a be the length of the side of a square. Now…

Q: Prove analytically that the perpendicular bisector of the sides of a triangle are concurrent.

A:

Q: Find the area of a square whose diagonal has length V10 in.

A:

Q: Show that the diagonals of a rhombus (parallelogram with sides of equal length) are perpendicular.

A: Show that the diagonals of a rhombus (parallelogram with sides of equal length) are perpendicular

Q: Prove the corollary of the Triangle Proportionality Theorem.

A: To prove:               The corollary of the Triangle proportionality theorem.   Triangle…

Q: Show that quadrilateral RSTV is an isosceles trapezoid. V(a+d e T(e-de R(a. b)

A: First, find the slope using the points Ra,b and Sc,b. mRS=b-bc-a=0 Now, find the slope using the…

Q: A gutter having triangular cross-section is to be made by bending a strip of tin in the middle. Find…

A: Explained below

Q: Prove the area of a rhombus is one-half the product of the lengths of the diagonals.

A: To prove the area formula for a Rhombus

Q: Plot the image of quadrilateral ABCD under a reflection across line . C D

A: Reflection is a transformation representing the flip of the figure. If we are reflecting a figure…