Triangle XYZ is given with X(2,0),Y(0,-2), and Z(-1,1). Which of the following can be used to prove that Triangle XYZ is isosceles?

Q: Point I is on line segment HJ. Given IJ = 3x +3, HI = 3x-1, and HJ 3x +8, determine the numerical…

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Q: In right triangle ABC, altitude CD is drawn to hypotenuse AB. Which is the longest side of the…

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Q: Point R is on line segment QS​. Given,QR=3x−8,QS=3x, and RS=2x, determine the numerical length of

A: See the details solution in below

Q: The co-ordinates of one end-point of a diameter of a circle are (3,5) If the co-ordinates of the…

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Q: a circle can also be represented in its general form which is written as for a circle to exist,…

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Q: If x and y are positive numbers with x > y, show that a triangle with sides of lengths 2xy, x 2 -…

A: To Determine: show that a triangle with sides of lengths 2xy ,x2-y2 ,x2+y2 is always a right…

Q: 5. Point D is the midpoint of segment BC. If B(-4, 2) and C(10, 8), what is the midpoint of segment…

A: 5)

Q: Triangle PQR is similar to triangle XYZ. What is the perimeter of triangle XYZ?

A: from the figure,XYY?UZPR.PQ2)ху16a312Y2203 +16XY»20x8cY2=12212> *4 = 4니725/

Q: Points A, B, and C are collinear and AB:AC = Point A is located at (-3, 6), point B is located at…

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Q: Transform the triangle with the rule (х, у) —-(х+2,у-4) 10 -5- -10 -5 10 -5 -10 Transform the…

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Q: Create a set of 3 planes that intersect in a "Triangular Prism", as the picture shows. In other…

A: The equation of a plane is given by the formula ax+by+cz=d. The planes can be made depending upon…

Q: Find the distance between the points.   ​(1​,1​) and ​(1​,−3​)

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Q: If P = (-3,5), find the image of P under the following rotatio 270° counterclockwise about the or…

A: Rotation of 270° counterclockwise  implies  (x, y) → ( y,  ‐ x ).

Q: 2. A chocolate-cake is triangular in shape. Each side measures 10 inches. If the cake is subdivided…

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Q: Find the points on the cone 22 + y? that are closest to the point (-2,2,0) %3D

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Q: 13. If AXYZ is rotated 180° clockwise about the point (2, -3), what is the coordinate of X? 4y Rule:…

A: Given:  Triangle XYZ is rotated 180 degree abot (2,-3). First change origin to O'(2,-3). Then change…

Q: Segment AB has point A located at (4, If the distance from A to B is 3, 2). which of the following…

A: We can use the Distance formula to find the coordinates of the point B.

Q: The point (15, 4) is the midpoint of C and D. Given that the coordinates of C are (9, s) and the…

A: Given query is to find the value of s and t.

Q: A point is plotted on a coordinate grid at (−3,4) How far is the point from point (0,0)?

A: We know, By distance formula ,the distance d between two points whose coordinates are, (x1,y1) and…

Q: 6. The segment XY with endpoints X(4, 3) and Y(1, -3) is rotated 90° about the origin. What is the…

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Q: ABC is an equilateral triangle of side 3 units. The points P, Q lie on BC, CA re- spectively and are…

A: For P,Q,R are colinear we show that QR=PR+PQEuilateral triangle means θ=60° AB=BC=AC=3…

Q: A triangle has vertices  (0, 0, 0), (1, 1, 1),  and  (0, −4, 5).  Find its area.

A: Consider the triangle with vertices (0, 0, 0), (1, 1, 1) and (0, -4, 5)Let  A(0, 0, 0), B(1, 1, 1)…

Q: Find point G on segment AB such that the ratio of AG to GB is 3:2

A: This is  a problem related to line and it's division. Based on the general formula and concept we…

Q: A diameter of a circle extends from the point (8,12) to the point(-1,4). What is the length of the…

A: Diameter of the circle is extends from (8,12) to the point (-1,4), then the distance between those…

Q: Prove that the line segment joining the midpoints of two sides of a triangle is half the length of…

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Q: Point K is on line segment JL. Given JL = x + 10, KL = 4x, and JK = 2x, determine the numerical…

A: The diagram according to the given information is shown below, so, the equation will be, JL=JK+KL…

Q: 1. If radius OD is perpendicular to chord AB at C, AC = 2x-5 and BC = 3(5-x). Find x, the length of…

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Q: 10x 4x – 1 5x 10x 10x 3x +1 2x +3 F 10x

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Q: (1, 3) to (-2, 1) i

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Q: A diameter of a circle extends from (2,-7) to (5,-3) what is the length of the circles radius?

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Q: 16. If the point (3, 7) is rotated counterclockwise by 45°, what point is obtained? What point is…

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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: How does the AA Similarity Postulate work and how can I prove if two triangles are similar with it?

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Q: Can you show how to prove that triangles ABC and AEA' are similar using Inscribe Similar Triangle…

A: Aim: To show how to prove that triangles ABC and AEA' are similar.…

Q: How to prove congruent triangles

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Q: Write equations for the circles with radius 5 containing the points (-1, -4) and (4, 1). How many…

A: Given: The circles with a radius(r) is 5 containing the points (-1,-4) and (4,1) Then we have to…

Q: 2. Point T is on line segment SU. Given ST = 2x + 6, TU = 4, and SU = 4x, determine the numerical…

A: Given       T is a point on line segment SU               ST = 2x+6              TU = 4…

Q: Find all yy such that the distance between the points (3, -8) and (-10, yy) is 19

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Q: From the point P(16,13) and Q(21,18) find the distances d(P,Q) and the coodinates of thd midpoint M…

A: We first plot points P16, 13 and Q21, 18 in cartesian plane. We have to find distance between these…

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

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Q: Find all values of y such that the distance between (3, y) and (-2, 9) is 13. O 21 O 3 O (3,-21) O…

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Q: Show that the order in which the points (x,,y,) and (x,,y,) are labeled does a affect the value of…

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Q: Point I is on line segment HJ. Given IJ = 4 and HI = 8, determine the length HJ. %3D %3D

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Q: If x and y are positive numbers with x > y, show that a triangle with sides of length 2xy, x2-y2,…

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Q: A В - If radius OD is perpendicular to chord AB at C, and BC = 3(5-x), and find AC, BC, and AB. If…

A: To solve the following values of the circle

Q: We want to count step-by-step paths between points of the form (x, y) in coordinates Only two kinds…

A: The number of paths from (0, 0) to (10, 10) that go through (5, 5) is  - - - - -

Q: O 3. How does the converse of the Hinge Theorem differ from the Hinge Theorem in terms of the sides…

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Q: ric, then AP is skew symmetric for any pos

A: Introduction: A matrix A is known as skew-symmetric matrix, if transpose of this matrix is equal to…

Q: 10. Triangle JLM with vertices J(-5, 7), L(8, 3), and M(-3, -1): (0, – 5) J'(__ L’(__ M’ (__,

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