The vertices of pentagon PQRST are P(0, 1), Q(2, 2), R(5, 3), S(4, 0), and T(1, -1). It pentagon PQRST is reflected over the y-axis which vertex will NOT change its coordinates? B. D T.

Q: C(3,-5) and D(7,9)

A: Topic:- coordinate geometry

Q: Which of the following is a three-point geometry? 3.1

A: To find which of the given figure is three point geometry .

Q: Q3: a\ A triangle whose vertices are A = (-1,0), B = (2, 1), and C = (1, -2), find:

A: Solution

Q: Find all points on y-axis of the rectangular coordinate system that are a distance 6 from the point…

A:

Q: Which among the circles has radius 5 units? (x- 3)2 + (y – 4) = 25 %3D (x- 3) +y-4)² = 5 (x-4) +…

A:

Q: An inscribed circle can be drawn with the center of the circle being point X

A:

Q: In the problem we use distance formula. Show that the points A(-2,9), B(4,6), C(1,0), and D-5,3) are…

A: The distance formula for any two points (x1, y1) and (x2, y2) is given by x2-x12+y2-y12units We use…

Q: Quadrilateral EFGH has the vertices E(0, 0), F(a, 0), G(a + b, c), and H(2b, 2c). Verify that EFGH…

A: Given, EFGH is a quadrilateral which has vertices E(0,0), F(a,0), G(a+b,c) and H(2b,2c)

Q: Find b and c so that y 6x? + bx + c has vertex (2, – 3). b c = ||

A: Compare with standard equation of parabola then solve

Q: Draw segment MR whose endpoints are M(-1,5) and R(2, -4) on the Cartesian plane. a) Find the length…

A:

Q: If this trapezoid is moved through the translation (x+3, y-2), what will the coordinates of A' be?…

A: see below the answer and calculation

Q: 4.(a, b), (c, 0) 5.(2a+c, 2d), (2b-c, 2c)

A:

Q: d) The circle r2-2x+y² = 3 in R2 traversed in the clockwise direction. e) The line segment in R2…

A: We shall answer one question only as per the company guidelines as each of these have many subparts…

Q: The vertices of ZBG are Z(7,9), B(4,5), and G(11,6) a. Find the coordinates of the midpoints P,Q,…

A: Given: Z=(7,9), B=(4,5)    and    G=(11,6)

Q: (d) Latus rectum is the segment joining (1, 4) and (7, 4) passing through the point (e) Contains the…

A: We will find axis of parabola and vertex to find equation of parabola

Q: The coordinates of the vertex are......................... .

A: Given,

Q: - y = x-4 Axis of Symmetry: Vertex: Sketch:

A: Given , y=x2-4 we have to find a) axis of symmetry  and b) vertex

Q: 5 below, triangle ABC has vertices A(4,5), B(2,1), and C(7,3). Find the length of BC. O v17 V29 V65…

A:

Q: What is the equation of the circle n the ry-plane that has center (4,-5) and that passes through the…

A: Option 4 is correct.

Q: Apply T (x, y) = (2x/3,2y/3) to the following pentagons: (a) vertices (3,-3), (3, 3), (0, 6), (–3,…

A: Now in T(x,y)=(2x/3,2y/3)=(x/1.5 ,y/1.5) so by apply T(x,y) we are expecting that our pentagons area…

Q: the anea af Hhe iangle withe the vertices Alogogo), B=(211) C= (2っ33) %3D

A:

Q: Quadrilateral ABCD has vertices A(2, 1), B(6, 1), C(5, 3) and D(4, 3). State the coordinates of the…

A: We know that, when you reflect a point across the y-axis, the y-coordinate remains the same, but the…

Q: 4. Quadrilateral JKLM is reflected in the x -axis to form quadrilateral WXYZ. What are the…

A: Given, quadrilateral JKLM is reflected in the x-axis to fom quadrilateral WXYZ.…

Q: Let T1 and T2 be two triangles in the plane. Find the number of possible points of intersection of…

A: Given, T1 and T2 are two triangles in a plane  To find the number of possible points of intersection…

Q: A triangle has vertices P(1,1) Q(-2,-2) R(3,-2). Algebraically determine the type of triangle given…

A: Given :           A triangle has vertices P(1, 1), Q(-2, -2) and R(3, -2)   To determine the type…

Q: Three of the vertices of parallelogram ABCD are A(0, 0), B(2, 3) and D(6, 1). Find the coordinates…

A: We will use a simple property of parallelogram that their diagonals bisects each other. So for the…

Q: 3. Gnph the guafwig (Must show vertex, axis of symmetry, x,y intercepts and reflection point) X =…

A:

Q: C(-4, 7) and D(0, -3)

A:

Q: Write the coordinates of the vertices after a dilation with a scale factor of 3, centered at the…

A: The scale factor is 3. Therefore, T(x, y) = (3x, 3y)

Q: 3. Rhombus KLMN with vertices K(-3, 2), L(1, M(-1, 0), and N(-5, -2) : (x, y) – (x, y - 5) K'( M' (…

A: Given vertices are : K-3,2 , L1,4 ,M-1,0 and N-5,-2 Now also given that ,  x,y→x,y-5 Now new…

Q: The diagonal of square ABCD İs shown. -1 -1 -2 Which of the following could be the coordinate point…

A: Solved below

Q: Test for symmetry with respect to each axis and to the origin   y = x2 − 6

A: We plug -x in place of x  This equation is the same as the given equation. So the function is…

Q: Entong is standing on a location with coordinates ( 5,3) on a cirde, while Senyang is at ( 1,1) who…

A:

Q: The plane 3x + y + 2z = 6 is represented by which graph below? Select one:

A:

Q: 18. What figure is formed when the points A(3, 7), B(11, 10), C(11, 5), and D(3, 2) are connected…

A:

Q: Find the midpoint of each side of the triangle with vertices A (-5,4) B (3,6), c (2,2). Prove that…

A:

Q: K is the midpoint of PQ, P has coordinates (-9, –4) and K has coordinates (–1,6). What are the…

A: Recall: Mid point Formula:The Midpoint of M of the line segment from P x1,y1 and Qx2,y2 is…

Q: T. M, centers KT is the perpendicular bisector of MN. What happened? What conjecture could be made?…

A:

Q: 8) Determine whether the given vertices represent a parallelogram, rectangle, or rhombus. ВС-1,-1),…

A:

Q: Find the projections of a regular hexagonal pyramid given by the axis o(M[-40,15,30],N[5,45,45]),…

A: Edge of base =20 {mm}Axis length =40 {mm}Resting on one of its triangular face on (Ground) HPEdge of…

Q: Which circle does the point (-1, 1) lie on? O (x-2)2 + (y-5)2 = 25 O (x-5)2 + (y+2)2 25 (x-2)2 +…

A: Point lie on circle :When we substitute the coordinates of the point in circle which is equal to…

Q: What are the points of intersection between the graphs of the circle and parabola? x² + y? = 37 x² =…

A:

Q: 7. What figure is formed when the points D (-2.10), E (-2.-10). F (6, -10). and Gl6,10 ore connected…

A: As per our guidelines we are supposed to answer only one question

Q: What is equation of circle P? y 4 0 2 4 O (x – 2)² + (y – 2)² = 16 O (x + 2)² + (y +2)² O (2 – 2)² +…

A: Given circle, To be found -  Equation of given circle.

Q: Find an equation of the perpendicular bisector of the segment AB with endpoints A(1, 2) and B(-3,…

A:

Q: PO 6. If this triangle was reflected over the y-axis to form AH' J'K', what would be the coordinates…

A: I reflected this triangle about y axis

Q: 10. Rectangle ABCD with vertices A(1, 0), B(7, 2), C(8, -1), and D(2, -3): (a) Translation: (x, y) →…

A: Topic:- translation and reflection

Q: Three of the coordinates of a square ABCD are A(3,2), C(1,-2) and D(0,1). What is the y-coordinate…

A:

Q: 2. Trapezoid STUV with vertices S(-7, -1). T(-2, -3). U(-2,-5), and V(-7,-7): 90° counterclockwise…

A: The rotation about 90° clockwise will change (h,k) to (k,-h). Therefore,

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.