Prove that triangle ABC, which has vertices  , , and  is isosceles.

Q: 1. If (0, 0), (3, 0) and (x, y) are the vertices of an equilateral triangle, find x and y.

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Q: Prove that quadrilateral PLUS with the vertices P(2,1), L(6,3), U(5,5), and S(1,3) is a rectangle.

A: 1) Opposite sides are equal , 2) The diagonals of a rectangle are equal.  Distance formula of point…

Q: Prove if a quadrilateral ABCD is cyclic, then its opposite angles are supplementary.

A: As per bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: Prove that triangle ABC, which has vertices 4(3.4), B(5,-2), and C(1,-2) is isosceles. А (3,4) 4 3 2…

A: The given vertices of the triangle are  A(3, 4) B(5, - 2) C(1, - 2)

Q: 4. Prove that triangle ABC with A(3, 6), B(4, -1), C(-2, 1) shown below is isosceles.

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Q: Prove that the points M(2, 5), N(12, 3), and O(10, 11) are the vertices of a right triangle

A: Given the points

Q: I, 1,,I, I is the incentre, the excentres opposite to the vertices A,B,C of a are triangle ABC.…

A: GIVEN I is the in center , I1,I2,I3 are the ex centers opposite to to vertices A,B,C of a triangle…

Q: 2) Is a triangle with vertices G(3,2), H(8,5), and K(0,10) a right triangle? Justify

A: Let (x1,y1) and x2,y2 be two point ,then by distance formula distance between this point d =…

Q: If a quadrilateral has diagonals that are perpendicular, then the quadrilateral can always be…

A: To check: The statement is true or false. Given: The statement is "If a quadrilateral has diagonals…

Q: Consider the two rows of points on the grid below. Count the number of triangles that can be formed…

A: The two rows grid is given as: In both rows, there are 8 points in each. Therefore there are total…

Q: Prove that quadrilateral PLUS with the vertices P(2,1), L(6,3), U(5,5), and S(1,3) is a rectangle.…

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Q: Which triangle has 0 reflectional sy

A: A option is correct. SCALENE TRIANGLE   SCALENE TRIANGLE HAS 0 REFLECTIONAL SYMMETRIES.…

Q: a If you moved Triangle 1 onto Triangle 2, which vertices would match?

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Q: Show that the points (-2, 4), (3, -1), (-1, -3) are the vertices of an isosceles triangle, and find…

A: Let the given points be - A = -2, 4B = 3, -1C = -1, -3Now, Let's find the distance AB between point…

Q: 1. Show that (2, 1, 6), (4, 7, 9) and (8, 5, -6) are the vertices of a right triangle by finding the…

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Q: If D is the triangle with vertices (0,0), (40,0), (40,25), then dA=

A: The triangle D is with the vertices (0,0), (40,0) & (40,25). The line passing through (0,0) and…

Q: Calculate the perimeter of the triangle formed by the following set of vertices.…

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Q: all congruent triangles are also similar. true or false

A: Known facts: Congruent triangles are similar triangles. But, converse not true. That is, Similar…

Q: Consider the points P = (8,6, −8), Q = (8, 0, 8), R = (0, 6, 8) to be vertices of a triangle. What…

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Q: Show that the vertices of any rectangle are co-circular by using the converse of the Power of point…

A: Geometry

Q: Draw and label two triangles that could be proved congruent by ASA

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Q: A quadrilateral has vertices A = (0, 0), B = (2,4), C = (0,5), and D = (-2, 1). Prove ABCD is a…

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Q: Determine if the triangles are similar. If they are, complete the similarity statement and indicate…

A: We are given the following graph. We are given that CD and UV are parallel to each other. So, the…

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: These triangles are congruent by the triangle congruence postulate [ ? ].

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Q: prove: two isosceles triangles are similar if and only if their angles at the vertex are congruent

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Q: Prove that in any triangle ABC the altitudes are concurrent.

A: Here we need to prove that in any triangle ABC the altitudes are concurrent. Let us consider a…

Q: Determine which postulate can be used to prove that the triangles are congruent. If it is not…

A: a) We have, Since three sides of one triangle are equal to the corresponding sides of the other…

Q: Let three vertices of a triangle be ?(4, 0, 1), ?(1, 5, 2), and ?(−4, 1, −3). What is the area of…

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Q: Prove that in triangle ABC, a = b cosy+ccos 3.

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Q: Let A, be the center of the square inscribed in acute triangle ABC with two vertice side BC (as…

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Q: Calculate the perimeter of the triangle formed by the following set of vertices (2,2) (-1,-3) (3,1)

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Q: If D is the triangle with vertices (0,0), (82,0), (82,37), then dA=

A: Solved below

Q: quadrilateral is cyclic if and only if a pair of its opposite angles are supplementary. True or…

A: A convex quadrilateral polygon in a plane is cyclic if, and only if, its opposite angles are…

Q: Show that the triangle with vertices A(0, 0), B(1, √3), and C(2, 0) is equilateral.

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Q: 3. Show that the altitudes of the triangle are concurrent.

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Q: 27. Show that a triangle with vertices at (3, 5), (3, 2), and (2, 5) is a right triangle.

A: If we can prove that above triangle satisfies Pythagoras theorem then we can say that above triangle…

Q: Prove that in any triangle ABC, the medians are concurrent.

A: Known Fact:The formula of co-ordinates of the point dividing the line segment joining two given…

Q: Given the points: A(1,-2, 1), B(3,2, 2), C(-2,1,5) prove that A, Band C are the vertices of right…

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Q: Show that if a line is drawn from the vertex of an isosceles triangle that bisects the base of the…

A: Let ABC is an isosceles triangle such that AB=AC. Let AD is the bisector of angle A. To prove BD=BC…

Q: The area of a triangle with vertices ( — 2, 0), (9, 0), and (3. 6) is____?

A: Given: Vertices of triangle are ( — 2, 0), (9, 0), and (3, 6)  To determine: Area of a triangle.

Q: Calculate the perimeter of the triangle formed by the following set of vertices. {(1, 5),(4,2),…

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Q: Prove that if a point is contained in two angles of a triangle, then it is contained in the interior…

A: In a triangle, any two angles are adjacent (i.e, sharing a common hand)

Q: Prove that the midpoint of the hypotenuse of any right triangle is equidistant from the vertices.…

A: To solve the given problem

Q: Calculate the perimeter of the triangle formed by the following set of vertices.…

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Q: Determine whether AABC, with vertices A(0, 0, 0), B(1, 2, 4), and C(0, 0, 8), is an isosceles…

A: we have to determine whether ∆ABC, with vertices A(0,0,0), B(1,2,4) and C(0,0,8) is an isosceles…

Q: A quadrilateral has vertices A = (0, 0), B= (2,4), C = (0,5), and D = (-2, 1). Prove ABCD is a…

A: Given :

Q: List all of the symmetries of the equilateral triangle below:

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Q: Consider the triangle ABD formed with the points A(1,-4), B(-4,1) and D(-3,-5). determine its…

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Q: Draw an inscribed quadrilateral ABCD and its diagonals intersecting at E. Name two pairs of similar…

A: Clearly from the below daigram we can see thatthe two pairs of…