Use the converse of the Pythagorean Theorem to show thata triangle whose sides are of lengths 11, 60, and 61 is a righttriangle. (pp. A14–A15)

Q: If MO=7x−4,MO=7x−4, and NO=6x,NO=6x, what is the length of MN¯¯¯¯¯¯¯¯¯¯?MN¯? Enter the correct…

A: Follow the procedure given below.

Q: Let ABC be a right triangle and H be the foot of the altitude relative to the hypotenuse BC. Let…

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Q: each base of a prism is a rhombus. the diagonals of the base are 12 cm and 6 cm, and the altitude of…

A: Given- Each base of a prism is a rhombus. the diagonals of the base are 12 cm and 6 cm, and the…

Q: The rectangle whose vertices are A(0, 0), B(a, 0), C(a, b), and D(0, b) is shown. Use D (0, b) C (a,…

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Q: 7. Given: C is the Midpoint of AD, <A <D Prove: Triangle ABC is congruent to Triangle CDA D B C E A

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Q: Show that the points (a,a),(-a,-a) and (-V3a, v3a) are the За vertice of an equilateral triangle.…

A: Given the co-ordinate of a triangle Let A=(a,a)B=(−a,−a)C=(−3a,3a)

Q: ABCD is a quadrilateral. The points E,F,G and H are the midpoint of the sides of this quadrilateral.…

A: Given- ABCD is a quadrilateral and points E,F,G and H are the midpoints of the sides of…

Q: 3. Which of the following shapes is NOT a quadrilateral? O Trapezoid Rhombus O Pentagon Kite

A: All of trapezoid, rhombus and kite have 4 sides.

Q: Let ABC be an equilateral triangle. Let M be the midpoint of BC and let N be the midpoint of AM.A…

A: Given that, ABC is an equilateral triangle and M is the midpoint of BC¯ and N is midpoint of  AM¯.…

Q: AC and D8 are diagonals of the quadrilateral ABCD AO-OC, 80-OD. Prove ABCD is a parallelogram.

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Q: In the triangle ABC let D be the midpoint of BC then prove that AB2 + AC? 2(AD² + BD²)?

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Q: Can you prove this quadrilateral is a parallelogram? J

A: The solution is given below.

Q: The legs of a quadrilateral are usually the vertical sides of the shape. With this definition, which…

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Q: In the adjoining figure, O is the centre of a circle. Two equal chords AB and CD intersect at P. If…

A: Given: In the above figure, O is the center of the circle and AB and CD are two equal chords…

Q: this definition, which statement must also be true? A. All parallelograms are rectangles. 3. All…

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Q: ABCD is a quadrilateral in which P and Q are the mid points of the diagonals AC and BD respectively.…

A: Use summation of vector to solve

Q: Consider a right triangle with right angle C. If b= 32ft andc- 51ft, find all missing sides and…

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Q: The coordinates at the vertices.A.B, and C of the triangle ABC are (-3,7), (2,19), and (10,7)…

A: Given,  The coordinates of vertices of triangle A-3, 7  B2, 19  C10, 7   We have to find the length…

Q: Find the length of segment AO: * ZO, YO, and XO are the perpendicular bisectors of AABC. A 7.4 X 3.4…

A: answer is AO = 8.14   explanation is given in below step

Q: Show that the triangle with vertices A(2, -3), B(6, -8), and C(-3, -7) is a right triangle by using…

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Q: Which statement is always true? Some rhombi are rectangles. All quadrilaterals are squares. All…

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

Q: Show that the triangle with vertices A(0, 0), B(1, √2), andC(2, 0) is equilateral.

A: An equilateral triangle is a triangle in which all sides are equal, and consequently, all angles are…

Q: In the diagram, ACDE is a cyclic quadrilateral, Lines GAB and FEHC are paraliel, and line GAB is a…

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Q: Consider a triangle with vertices A(1,0,0), B and C. Assume that • A : 1 • BC is parallel to the…

A: Given: A triangle with vertices A(1, 0, 0), B and C. BC is parallel to the y-axis and ||AB||=3

Q: a) Argue that the midpoint of the hypotenuse of a right triangle is equidistant from the three…

A: We have been given the right angle triangle in which we have a midpoint on a hypotenuse.

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: Find the length of the bisector of an angle to the shortest side of a triangle with sides 13,20 and…

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Q: Let AABC be an isosceles right triangle with hypotenuse AC. Find mLA, mZB, and m/C. mLA = mZB = mLC…

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Q: Quadrilateral ABCD has AB = DC and AD = BC. Using intuition, what type of quadrilateral is ABCD? A B

A: Given:

Q: Show that the points (a, a).(-a,-a) and (-3a, 3a) are the vertice of an equilateral triangle.Also,…

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Q: Find the measures of the angles of the triangle whose A. vertices are A(1,0), B(2,1), and C(1,-2).

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Q: A convex octagon has interfor angles with measures (1+55). (3r+20). 4v", (4x- 10Y, (6r - 55). (3x +…

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Q: Use similar triangles to find the coordinates of the point Q that di- vides the segment from P1(x1,…

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Q: In triangle ABC. AB = 7 and BC = 7 . Write the theorem that allows you to conclude that B is on the…

A: Consider the triangle ABC with AB=7 and BC=7. Since AB=BC=7, So the triangle ABC would be an…

Q: If RS = 40, ST = 41, and RT = 11, is ARST a right triangle? Explain. %3D %3D %3D

A: Check by Pythagorean theorem

Q: Let A = (5− √24,0), B = (0,5− √24), and C = (0,0) be points in the Poincar ́e Disk. The hyperbolic…

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Q: In the figure below, if BE is the perpendicular bisector of AD, what is the length of segment AB? B…

A: We have to determine the length of segment AB

Q: Consider AABC and ADEF, both of which lie in the xy- coordinate plane. The pre-image, AABC, is…

A: Congruent triangles are defined when 2 triangles have equal corresponding sides and equal…

Q: (1) Riley plotted A(-1,6), B(3,8), C(6,-1), and D(1,0) to form a quadrilateral. Prove that Riley's…

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Q: The perpendicular bisectors of triangle ABC meet at point D. Find DB, DC and AE.

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Q: 2. Given that a = 12.0 km and c = 61 km, finding the missing sides and angles of the right triangle.…

A: Given that a=12.0 km and c =61 km  we have to find missing sides and angles of the right triangle

Q: An equiangular triangle cannot be which of the following?a. equilateral b. isosceles c. scalene d.…

A: An equiangular triangle cannot be which of the following? a. equilateral b. isosceles c. scalene d.…

Q: In the diagram below of triangle ABC, D is a midpoint of AB and E is a midpoint of BC. If DE = 64 –…

A: As given D is midpoint of AB so BD=AB/2 As given E is midpoint of BC so BE=BC/2 Now using property…

Q: %23 W Two sets of rails (railroad tracks are equally spaced) intersect but not at right angles.…

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Q: Tiven: DEFG is a rectangle, WE YG, WX YZ Prove: WXYZ is a parallelogram.

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Q: find the general form of an equatoin for the perpendicular bisector of the segment AB where A=(-1,2)…

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Q: Where must the perpendicular bisectors of the sides of a triangle meet?a. inside the triangle b. on…

A: Where must the perpendicular bisectors of the sides of a triangle meet? a. inside the triangle  b.…

Q: ABCD is a rhombus. ABC=140°, and AB= 20 cm. Calculate (a) AC (b) ACB

A: