Given that PLAN is a rectangle, prove that △LTP≅△NTA

Q: In a figure, OABC is a parallelogram. Prove by the analytic approach that OB2+AC2=2(OA2+OC2).

A: Concept: Pythagoras theorem states that sum of the squares of perpendicular and base is equal to…

Q: A two-column proof can be used to demonstrate that a diagonal splits a parallelogram into two…

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Q: A AB

A: Is AB is congruent AD what theorem is used to prove this?

Q: Which of the following is a counterexample to the claim: All kites are parallelograms?

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Q: If M is the midpoint of AB in triangle ABΩ, prove that ∠A ≅ ∠B if and only if ∠AMΩ is a right angle.

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Q: Consider the following quadrilateral with diagonal AC and from which it is known that AB || CD and…

A: Given that AB∥CD , AD∥BC AC is diagonal  Now, we know that ∠A+∠B+∠C+∠D=360° ∠A+∠B=180° ∠D+∠C=180°…

Q: Using the above information, give a proof of Pythagoras' Theorem by computing the area of the…

A: The given quadrilateral ADEC can be divided into three triangles.  (1) A right-angled triangle EDB…

Q: Prove that the angle sum of any convex quadrilateral is less than or equal to 360.

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Q: Prove: The diagonals of a rectangle intersect to form four congruent segments.

A: Given: Rectangle ABCD. To prove: Diagonals of a rectangle intersect to form four congruent segments.

Q: Show that $) it gly) 1-y 2

A: Recall: The domain of a function is the set of all possible inputs from the function.

Q: An octagon has ___ sides.

A: An octagon has ___ sides.

Q: Prove that if ABCD is the given rectangle, AE is the diameter of a semicircle, and BFGH is a square,…

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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: 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: Suppose ΔABC and ΔDEF are two triangles such that ∠BAC ≅ ∠EDF, AC = DF, and CB = FE. Prove that…

A: Given Information: △ABC and △DEF are the two triangles. ∠BAC≅∠EDF AC=DF, CB=FE To show: Both the…

Q: IF geRla,b] and if hla)= glx) except for fioite number of points in [a,b] ,then Prove that 9. he…

A: We have to break the integral into finite number of sub intervals.

Q: a. Draw any two segments, AC and BD, that bisect each other at O. Whatappears to be true of quad.…

A: a) Consider the obtained quadrilateral ABCD, Where AC and BD bisect each other at O. So the…

Q: Prove that the base of a Saccheri Quadrilateral in absolute geometry has length less than or equal…

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

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Q: The degree of precision of the quadrature formula is one: = 2 f( +bf The values of a & b are

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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: Prove that a quadrilateral can be inscribed in a circle if and only if its opposite angles are…

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Q: Prove that ABCD is a square

A: If ABCD  is a square then length of all the sides will be equal, That means. AB=BC=CD=DA.  To find…

Q: 5) Identify the segment bisector of S a) x+ 12 Bx-2

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Q: Prove that quadrilateral EFGH is a parallelogram

A: Step 1: **Given Information : *** The parallelogram we have is UVWX. The midpoints of each of the…

Q: Prove that if two triangles have congruent bases, then their areas are in the same ratio as their…

A: To show that the ratio of the areas is equal to the ratio of the heights, if the two triangles have…