A partial proof was constructed given that MNOP is a parallelogram. Which statement should fill in the blank in the last line of the proof? By the definition of a parallelogram, MN PO and MP| NO. ZM is supplementary to 20 ZN is supplementary to P Using MP as a transversal, zM and ZP are same-side interior angles, so they are supplementary. ZM ZP O ZN E ZP Using NO as a transversal, zN and 20 are same-side interior angles, so they are supplementary. Using OP as a transversal, 20 and ZP are same-side interior angles, so they are supplementary. Therefore, because they are supplements of the same angle.

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…

A:

Q: 5.)Write the aua mented matrix for the syshem X, +2X,-X, tXc =l =マ+ t bulo

A: We have to solve given problem:

Q: Quadrilateral TUVW has vertices located at T(-5, -2), U(2, 1), V(0, −2), and W(-7,-5). Write a…

A: Given, a quadrilateral  with vertices located at  and .It is required to write a two-column proof to…

Q: 9. Find the point C such that AC = ² AB. 4

A:

Q: 2. Let ABC be a triangle with AB = 3, BC = √3 and CA = √√3. Let XYZ be a triangle with XY = 3√3,…

A:

Q: For #2-4, use only the given information in that problem to name all of the segments (if any) that…

A: ---------------------------------------------------------------------------- 2: ∠3…

Q: A B D Given: ABCD is a parallelogram To prove: AC and BD bisect each other Proof: ● ● ● QED AB and…

A: SOLUTION: STATEMENT: IN ABCD parallelogram , two diagonals AC,BD BISECT EACH OTHER.   PROOF: Here…

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: 2. Write two column proofs to prove quadrilateral RSTU is a parallelogram using two separate…

A: Draw the given quadrilateral RSTU with coordinates and .Draw the diagonals of the quadrilateral…

Q: 11. A. Which of the following can be used to find the measure of angles zD, ZE, LF? AAA Postulate O…

A: A. Consider the triangle DEF. AAA postulate cannot be used since there is only one triangle.…

Q: Find and answer the three questions inside the following two-column proof. Do not assume anything…

A:

Q: Find the coordinate of the Circumcenter of the triangle below.  (-5,-3), (0,6), and (3,5) on a graph

A: The figure