Marcus is wanting to prove that parallelogram ABCD is a square. He shows that opposite sides are congruent and opposite sides are parallel. Can he conclude ABCD is a square? Why or why not. Explain your reasoning in complete sentences.

Q: Prove ABCD is a parallelogram. Justify mathematically and explain.

A: Given vertices of quadrilateral are A(-1,3) B(3,2) C(2,-5) D(-2,-4) Prove ABCD is a parallelogram

Q: Aquadrilateral ABCD has the coordinates A(-2, 1), B(4, 3), C(5,0), D(-1,-2). Select the statements…

A: We will check the given problem.

Q: 'a2 + b2 = c2 102 + 242 = c2 100 + 576 = c2 676 = c2 V676 = c %3D %3D 10 units 338 = c %3D 24 units

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Q: -5 -4 -3 -2 -1 1 4 -1 -3 To find the distance between (-2,-3) and (4,1), Peggy's teacher drew a…

A: Use Pythagoras theorem to find the hypotension that will be distance between given two points.

Q: Please Solve it with Proof. Rectangles BCC,B2, CAA¡C2, and ABB¡A2 are erected outside an acute…

A: If we draw the image of the above question : As ∠BC1C+∠CA1A+∠AB1B=180°, then we can say that A1B1C1…

Q: Which best describes the relationship between the line that passes through (5, -7) and (1, -4) and…

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Q: Andrea is given AABC and told that a? + b2 c2. She draws right triangle RTS with legs measuring a…

A: GIiven a situation wherein "Andrea is given AABC and told that a? + b² = c². She draws a right…

Q: The diagonal of a rectangular driveway is almost 12 feet. Which pair of dimensions is closest to the…

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Q: Can you conclude that the parallelogram is a rhombus, a rectangle, or a square? What else is a valid…

A: A parallelogram is flat-shaped figure . It has four sides . The pair of opposite faces/sides of a…

Q: Paul is interested in circumscribing a circle around a rhombus that is not a square. He is having…

A: For a circle to circumscribe a Rhombus, means all the vertices of the rhombus touch the circle at…

Q: Noah says, "I constructed 2 perpendicular bisectors of triangle ABC. That means the point where they…

A: Work done by Noah to find circumcenter is sufficient and there is no need to draw third…

Q: Which statement must be true for triangle MNP to be a right triangle?     A The sum of the areas…

A: given ,  a Picture , we have to find condition when triangle MNP is right triangle . lets suppose…

Q: A quadrilateral has diagonals represented by y = 2x + 5 and x + 2y = −8. What statements are true…

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Q: If there are sides in a triangle which is 2x+3, 3x-1, 6x-11, what possible value of x?

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Q: The diagonal of square ABCD is shown. 4. -2- 2.

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Q: Determine the most precise name for quadrilateral ABCD, A (-6,-7), B (-4, -4), C (2, -1 D (0, -4).…

A: Distance Formula : If A (x1, y1) and B (x2, y2) be two points then AB=(x2-x1)2+(y2-y1)2

Q: Using the Converse of the Pythagorean Theorem, determine if the triangle below is a right triangle.…

A: If  triangle obeys Pythagorean Theorem, then triangle will be right angle triangle.

Q: How to find the value of x that makes m and n parallel

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Q: In the diagram below, parallelogram ABC has diagonals AC and BD that intersect at point E.

A: Given ABCD is a parallelogram. E is the point of intersection of diagonals.

Q: Using the following questions, determine if parallelogram ABCD a rhombus, a rectangle, or a square?…

A: To determine if the given parallelogram ABCD is a rhombus, a rectangle, or a square.

Q: The legs of an isosceles triangle have lengths 2x+2 and -2x+14. The base has length 6x+6. What is…

A: Isosceles triangle have two equal sides:2x+2 = -2x+144x = 14- 24x = 12x = 124 = 3