A Draw and describe the locus of points in the plane that are equidistant from the sides of ZABC. C

Q: Show that the points A=(3,4),B=(1,1) ,and C=(-2,3) are the vertices of an isosceles triangle

A: We know, distance d between two points (x1,y1) and (x2,y2) is given by distance formula as:…

Q: Let AB be a line segment. Prove the perpendicular bisector of AB is the set of all points which are…

A:

Q: The set of all points in a plane that are equidistant from a fixed point is a/an is called the The…

A: To Fill up the blanks: The set of all points in a plane that are equidistant from a fixed point is…

Q: Which of the following statements is true for a sphere? A - A sphere is the set of all points in…

A: To find the true statement for sphere.

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: The vertices of quadrilateral LMNP are L(-1, 7), M(4, 9), N(8, -1), and P(3,-3). Using the distance…

A: We know that the distance formula between x1,y1 and x2,y2 is  d=x2-x12+y2-y12

Q: If the circumcentre of a triangle lies at the origin and the centroid is the middle point of the…

A:

Q: 3. The segments joining the midpoints of consecutive sides of an isosceles trapezoid form a rhombus.…

A: In order to prove this, we have to put the trapezoid to the coordinate system. In the attached photo…

Q: Show that the quadrilateral with the given vertices is a trapezoid. Then decide whether it is…

A: Find if the figure is an isosceles trapezoid and find all the 4 slopes.

Q: The vertices of quadrilateral LMNP are L(-1, 7), M(4, 9), N(8, -1), and P(3, -3). Using the distance…

A: Given the vertices of quadrilateral LMNP are L-1,7,M4,9,N8,-1 and P3,-3. It is required to determine…

Q: Considering only the 4-point planes that are drawn in the figure below, which point does NOT share a…

A:

Q: (b) Prove that the perpendicular bisector of a chord of a circle passes through the centre.

A:

Q: Consider the points P such that the distance from P to A(-1,5,3) is twice the distance from P to…

A: Distance between two given point  x,y,z   and  x1,y1, z1  is  x-x12+y-y12+z-z12∙General equation of…

Q: Determine the value of K such that the points A(4,-2,6), B(0,1,0), C(1,0,-5) and D(1,K,-2) lie on…

A: Given A(4,-2,6), B(0,1,0), C(1,0,-5) and D(1,k,-2) AB→=(0-4,(1+2),(0-6))=(-4,3,-6)…

Q: In space, determine the locus of points equidistant from the endpoints of . Select one: a. the…

A: A perpendicular bisector to  a line AB divides the line into two halves and is perpendicular to the…

Q: 3. Create two planes, then discuss the various possibilities for the set of points they have in…

A: Given two planes, discuss the various possibilities for the set of points they have in common.…

Q: Let AB be a segment and letr be its axis. Show that every point P on r is equidistant from A and B.

A: Consider a line segment AB and r be its axis. To show every point P on the axis r is equidistant…

Q: Show that the points A = (3, 4), B = (1, 1), and C = ( - 2, 3) are the vertices of an isosceles…

A: Given: Points are A = (3, 4), B = (1, 1), and C = ( - 2, 3)

Q: Let a point a = (2, 4, 5). %3D a) Find the distance from this point to the xy-plane.

A: Consider the point

Q: Find the locus of the points P(x, y) such that PA = 2PB where A is the point with coordinates (0, 3)…

A:

Q: Consider the points ?(1, 2, 3), ?(3, 0, 4) and ?(4, − 2, 3).   A. Find area of the triangle created…

A: Using cross product we find the area of triangle

Q: In a certain​ city, the road system is set up like a Cartesian plane​ (x-y grid).   Point B is12…

A: Point A is  at origin (0,0) Point B is12 blocks east and 18 blocks north from point A. Point C is 18…

Q: The perpendicular bisectors of the sides of any triangle ABC are concurrent. The point is called the…

A: The perpendicular bisectors of the sides of any triangle ABC are concurrent.

Q: A- The locus of points in space that are at a distance of 1 inch from point P is the circle with…

A: Definition of circle: The locus all the points that are equidistant from a fixed point on a plane.…

Q: Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), B(5, -2,…

A:

Q: In the Argand's plane what is the locus of [3(22²-5z + 3) 11_2π ong

A:

Q: y U(a, b) V(?, ?) h =b units T(0, 0) a units W(c, 0)

A: HL congruence postulate: According to this congruence postulate, two right triangles are congruent…

Q: Consider the points P such that the distance from P to A(-1, 5, 3) is twice the distance from P to…

A:

Q: Prove that all the points on a perpendicular bisector of a line segment AB are equidistant from the…

A: Statement:All the points on a perpendicular bisector of a line segment AB are equidistant from the…

Q: ___ lines are coplanar lines that do not meet. a. Intersecting b. Parallelc. Concurrentb. Skew

A: we know that parallel lines are coplanar lines that do not meet

Q: 3 2. Dilation of - for AABC AJVL about the origin, 3. 2. then (x, y) (x - 0.5, y + 4.5)2. C. ДАВС.…

A:

Q: Draw an image of quadrilateral ABCD on the coordinate plane reflected over the y-axis

A: when Quralatral reflected over y-axis then y coordinate does not change only x coordinate change

Q: Given: DABCD has vertices A(-1, -3), B(4, 2), C(3, 9), and D(a, b). a. Find the coordinates of the…

A: Given:        Vertices of ABCD         A-1, -3, B4, 2, C3, 9 and Da, b a.  coordinates of the…

Q: paragraph proof using this drawing

A:

Q: 3. If a plane contains two distinct points P1 and P2 then show that it contains every point on the…

A: The given problem can be proved both by mathematically and by the definition. For your convenience I…

Q: Plot the given points on the Cartesian plane and also find and plot the midpoint. A(H,–T),B(T, U)

A: We have been given - H = 0T = 7U = 0Then,A = H,-T = 0,-7B = T, U = 7, 0Let's draw these points on…

Q: Prove that the diagonals of any parallelogram bisect each other. (Hint: Label three of the vertices…

A: Given:- ABCD is a parallelogramTo prove:-AO=CO                 DO=BOProof:-In ∆AOD and ∆COB∡OAD=∡OCB…

Q: 25. Prove analytically that the four diagonals joining opposite vertices of a rectangular…

A:

Q: Find the coordinates of the orthocenter of a triangle with vertices at each set of points on a…

A: Given that: (1, 5), (6, 10), (0, 16)

Q: use set theoretic or vector notation or both to describe the points that lie in the given…

A: Consider the parallelepiped in three dimension. let us consider,  a=AB→b=AD→c=AC→ For an arbitrary…

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

A: To solve the given problem

Q: Draw three noncollinear points A, B, and C. Sketch. AB Then add a point D and sketch so that CD…

A: As per as our guideline iam supposed to answer only one question Please repost all remaining…

Q: . In a plane, what is the locus of points equidistant from the sides of a square?a. a square b. a…

A: To find: The locus of points equidistant from the sides of a square in a plane.

Q: Find a formula that expresses the fact that an arbitrary point P(x, y) is on the perpendicular…

A: Given:point A(-5,3),B(9,-9)         arbitrary point p(x,y) is on perpendicular bisector 'l'we know…

Q: 7. Use the distance formula to determine if points P, Q, and R are collinear. a. P(-1,4), Q(-2, 3),…

A: To determine if points P, Q, and R are collinear a P-1,4, Q-2,3, R-4,1b P-2,1, Q3,4, R12,10c P-2,-3,…

Q: 3. Draw and describe the locus of points in the plane that are equidistant from the endpoints of DE.

A: Step:-1 According to a known result "The locus of Points in the plane is perpendicular bisector of…

Q: In space, what is the locus of points 3 cm from a given point A?a. a line b. a plane c. a circle d.…

A: Definition of a circle: If a shape contains all the points which are equidistant from a fixed point,…