Chas vertices A(1: 3): B(4: 1) and C(6: 4), Prove that

Q: Show that the triangle with vertices P(6, ; 7), Q(11, ; 3) and R(2, ; 2) is a right -angled triangle…

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Q: Find the area of the triangle with the given vertices.(1, 1), (−1, 1), (0, −2)

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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: find the orhtocenter of triangle JKL with vertices J(3,6), K(3,-9), and L(-5,-5).    please show…

A: We have to find the orthocenter of triangle JKL with vertices J(3,6), K(3,-9), and L(-5,-5) In the…

Q: Show that the triangle with vertices (5, 4, −1), (3, 6, −1), and (3, 4, 1) is equilateral.

A: To show that the triangle with vertices 5, 4, -1, 3, 6, -1 and 3, 4, 1 is equilateral. Solution: Let…

Q: How many lines of symmetry does this shape have?

A: The lines of symmetry for the shape is

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: Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), B(-1, 6,…

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Q: Find the coordinates of vertices of a unit cube where the three concrrent edges are the coordinte…

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Q: PQR has vertices P (-2,8), Q (2, 4) and R (7,9). Select the description of PQR that is accurate.

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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. The vertices of quadrilateral ABCD are A(-2,3), B(4,6), C(10,3), and D(0,-2). Use coordinate…

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Q: In an artistic design by a contractor of the students’ centre in a university, four pillars were…

A: Given: In an artistic design, four pillars were erected to form two triangular figures with the…

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: 1.) Use Green's Theorem to evaluate the triangle with vertices (0,0), (1,2), and (0,2). $4x² ydx +…

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Q: What are the coordinates of the vertices of the triangle after the translation 2 units up?

A: For the translation 2 units up. The points on the graph change by  (x,y) goes to (x,y+2).

Q: Given: Rhombus ABCD with diagonals AC and BD intersecting at point E Complete the table to prove…

A: The rhombus is a quadrilateral with all sides equal in length. The diagonals of a rhombus are angles…

Q: An angle is in standard position if its vertex is at the ________ and its initial side isalong the…

A: An angle is in standard position if its vertex is at the ________ and its initial side is along the…

Q: and B are vertices of the base of an isosceles triangle ABC. A is at point (1,2) and B at (4, -1).…

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Q: (b) Determine the area of the triangle whose vertices are (1,1.2), (-1/2,0,2.5), and (3/3,2,3/2)by…

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Q: Show that the points (1, 5, 0), (3, 8, 6), and (7, −7, 4) are the vertices of a right triangle and…

A: Now, to find the sides of the triangle, the distance formula is to be used between each of the…

Q: 3. Write the (a) center, (b) vertices, (c) covertices, (d) foci, (e) length of MA, and (f) length…

A: Since you have asked multiple question As per our policy, we will solve the first question for you.…

Q: In the trapezoid TXYZ, TX = 5ZY. If the diagonals meet at 0, find an expression for TO in terms of…

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Q: How many lines of symmetry are in this figure?

A: There are 6 lines of symmetry are in this figure.

Q: Find b and c so that y = la? + bx + c has vertex (3, – 6). %3D

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Q: The vertices of quadrilateral KAIT are K(0,0), A(a, 0), I(a + b, c), and T(b, c). Use coordinate…

A: Parallelogram is a kind of quadrilateral with two pairs of opposite sides. In a parallelogram, the…

Q: IFA and B have 6 and 9 elements each, what is the minimum number of elements Aunion B?*

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Q: 10 11 3 vertices at a parallelograni AaCD are shown in the appiet What are the coordinates of point…

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Q: Find all values of x so that the triangle with vertices A=(x, -3, 4), B=(-1,0, 6), and C=(-2, –2, 7)…

A: The given vertices are A=(x,-3,4), B=(-1,0,6) and C=(-2,-2,7) has area 4.

Q: Prove that a parallelogram is a rhombus, a parallelogram with four equal sides, if and only if its…

A: Given : ABCD is a parallelogram              AB≅BC              AC⊥BD Prove : ABCD is a rhombus

Q: The triangle with vertices A(0, 1, 2), B(-1,0,2) and C(1,-2,0) has area = (ii)

A: A(0,1,2) B(-1,0,2) C(1,-2,0)

Q: Prove analytically that in any triangle the perpendiculars drawn from the vertices upon the opposite…

A: Given-  the perpendiculars drawn from the vertices upon the opposite sides. To prove-the altitudes…

Q: For any cyclic quadrilateral, the product of the diagonals equals the sum of the products of the…

A: Here we have to determine the name of the theorem. The given theorem is: For any cyclic…

Q: Line AB is formed by the vertices A (1,2,-2) and B (-1,0,2) If C is the midpoint of AB, find AC^2

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Q: Let Q be the quadrilateral with vertices (-2,3), (1,4), (3,0), and (-1,–3). Find the area of Q

A: Consider a quadrilateral Q with vertices  A−2,3,B1,4,C3,0 and D−1,−3

Q: The vertices of a quadrilateral are G(4, - 1), O(0, 0), L(2, 6), and D(6, 5). Show that…

A: Given: The vertices of a quadrilateral GOLD          G4,-1O0,0L2,6D6,5…

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

A: To solve the given problem

Q: how many lines of symmetry is in these figures?

A: A line of symmetry is a line that cuts the given shape into 2 equal halves. It basically means that…

Q: Show that the quadrilateral having vertices at (1, 1,3), (-2,1,-1), (-5,4, 0), and (-8, 4,-4) is a…

A: This is a problem related to area of the parallelogram by cross products. Based on the general…

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: A rectangle has vertices at the points (0,0), (6,0), (6,4), and (0,4) on a coordinate plane as…

A: NOTE: Refresh your page if you can't see any equations. . as we can see, when the figure rotated…

Q: for any triangle , there is exactly one circle that goes through all three vertices. true or false

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Q: Place three points on the plane such that a vertex of their Voronoi diagram is outside the triangle…

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Q: Determine the coordinates of the hexagon if a regular hexagon of side length 1 unit is inscribed in…

A: Given: A regular hexagon is inscribed in a unit circle. The length of each side of hexagon is 1…

Q: Suppose a triangle with the vertices (–1, 4), (–1, –2), and (2, –2) were dilated, with the center of…

A: Given  The triangle with the vertices (–1, 4), (–1, –2), and (2, –2) . Scale factor is 2 Dilation is…

Q: Explain how many vertices, edges, and faces the polyhedron have. Does it verify Euler's Formula?

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Q: Determine the number of ways in which the vertices of an equilateraltriangle can be colored with…

A: For each vertex, we have 5 choices of colors There are 3 vertices So total number of ways to color…

Q: Prove that if two pairs of opposite edges of a tetrahedron are perpendicular, then the third pair is…

A: Consider the tetrahedron  ABCD and let two pairs of opposite sides are perpendicular. Consider the…

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.