An equation is being tested for symmetry with respect tothe x-axis, the y-axis, and the origin. Explain why, if two ofthese symmetries are present, the remaining one must alsobe present

Q: Find the areas of the triangles whose vertices are given A(1, -1, 1), B(0, 1, 1), C(1, 0, -1)

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Q: Write the coordinates of the vertices after a reflection across the x-axis.

A: Given,          The cordinates of the vertices after a reflection across the x-axis.

Q: Give the dual of the phrase "three collinear points and a fourth point not on the line of the other…

A: Dual of any phrase can be find by replacing the conjunction connective with disjunction connective…

Q: .The vertex is at (5,-1) and the focus is at (3,-1)

A: Parabola is the path of the point which stay at equal distance from a fixed line (directrix) and a…

Q: What are the Vertex and Axis of Symmetry of the following equation? y = (x – 6)² – 5 Vertex: (-6,…

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Q: Graph the preimage and image of AABC with A(-4,3), B(-2,2), and C(-3,-3). Reflect it about the…

A: The given points of triangle ABC are as  A= (-4,3) B= (-2,2) C= (-3,-3)

Q: The diagram shows a conve

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Q: 3.If ACEG is a parallelogram, how could you show that ACEG is a rhombus? Explain.

A: ACEG is a parallelogram

Q: How many lines of symmetry does the following figure have?

A: Lines of symmetry to the figure has 5.

Q: does a 5 point star have line symmetry, point symmetry, neither, or both

A: given,       does a 5 point star have line symmetry, point symmetry, neither, or both .

Q: Determine if the points (-3,5), (-1,2) and (3,-4) No Yes are colinear. Show your work

A: yes .the given points are collinear. see 2nd step.

Q: Find b and c so that y 20z? + bæ + c has vertex (– 2, 2).

A: Given y=-20x2+bx+c. The given equation is an equation of a parabola. The vertex of a parabola y=fx…

Q: What figure is formed when the points K(-2, 10), L(8, 8), M(6, 2), and N(-4, 4) are connected…

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Q: What is the reflection over the y-axis of (-7,8)

A: Given  Point : (-7,8)

Q: If a point (a,b) is a point in the coordinate plane, what will its location be after it has been…

A: Find your answer below

Q: Where are the vertices?

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Q: Find b and c so that y 9x2 + bx + c has vertex (– 10, – 5). || - - b = C = ||

A: Given y=-9x2+bx+c and vertex(-10,-5) We have to find b ,c

Q: Locate the image of QUAD with vertices Q (-6,-5) U (-3,4) A (2, 3) D (3, -7) QHor the

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Q: Enter the ordered pair for point A in the boxes. A 2- 1 -2. -1 2

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Q: HWesketchthe following symmetriesof theme curres andidentifythe rasin(@½}

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Q: Every parallelogram has diagonals that bisect each other. O True O False

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Q: .Rectangle MNOP with vertices M(-7, 1), M-4, 1), O(-4, -4), and P(-7, -4): yx M'C N'C O' P' - 1111

A: Given that, MNOP is a rectangle with vertices M(-7, 1), N(-4, 1), O(-4, -4), and P(-7, -4) To find…

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

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

Q: If three corners of a parallelogram are (1, 1), (4, 2), and (1, 3), what are all three of the…

A: Three corners P{1,1} ,Q{4,2} ,R{1,3} are given so three possible fourth corners are  A{4,4} B{4,0}…

Q: COORDINATE GEOMETRY Determine whether AJKL with vertices J(-2, 2), K(-1, 6), and L(3, 5) is a right…

A: Given Points :J ( -2 , 2 ) K ( -1 , 6 ) L (3 , 5)

Q: Graph the image of square ABCD after a reflection across the y-axis. 10 4 2. -10 -8- -4 0. 4. 6. 8.…

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Q: Find b and c so that y=18x2+bx+c has vertex (9,−6)

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Q: 6.

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Q: If the pre-image point is A (1, -5) that follows the rule (-y, a+ 2) then what is the ordered pair…

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Q: What will be the pattern/formula to construct these equations (the one encircled)?

A: This is a problem related to Matrices. We can multiply the two matrix only when one matrix column is…

Q: Graph the preimage and image of AABC with A(2,1), B(0,-1), and C(-3,2). Translate it by…

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Q: Which kind of symmetry do all of these figures have?

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Q: Draw all lines of symmetry for the following figure.

A: Solution-

Q: Find the vertices and the area of the triangle formed by the graphs of y=|x-3| and -x+2y=5?

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Q: Write the coordinates of the vertices after a reflection over the x-axis. 104 8- 4 2 -10 -8 -6 -4 -2…

A: We have to find the vertices of a triangle after a reflection over y-axis  The given vertices of the…

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

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Q: If (2, 3), (5, - 2), and (7, 2) are three vertices (not necessarily consecutive) of a parallelogram,…

A: Given : The three vertices of a parallelogram are : A=2, 3B=5, -2C=7, 2 We have to find the possible…

Q: Find the point on the line y =2x + 3that is closest to theorigin.

A: Given Data The equation of a line is y=2x+3   Consider the point (x,y) on the equation of line…

Q: Find a and c so that y = ax + 24x + c has vertex (2, 37). a с — ||

A: From the vertex of a parabola

Q: If two planes intersect, is it guaranteed that the method of setting one of the variables equal to…

A: Let say one the intersecting two planes is Ax + By + Cz =D When we put z = 0 the Plane reduces to…

Q: If A (4,3) , B (-1 , y) and C (3,4) are the vertices of right triangle ABC , right - angled at A…

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Q: Write the coordinates of the vertices after a reflection over the x-axis. 104 8. 4. -10 -8 9- -4 2,…

A: We know that The reflection of point (x, y) across the x-axis is (x, -y).

Q: What is the image of the triangle shown after a translation with the rule (x, y)→ (x- 3, y+3 4 8 x…

A: Given translation is x,y→x-3,y+3.

Q: Select one of them and explain how the algebra of the rule connects to the reflection of the…

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Q: When the 2-D shape is completely drawn, how many points will be inside the 2-D shape?

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Q: How many lines of symmetry is in the figure?

A: Given:

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

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Q: Find the equation of the line that satisfies the given conditons.  Through (-6,-7); perpeindicular…

A: Given: line passing through (-6, -7), perpendicular to line passing through (-3,5), (1,3).

Q: How can you say that the points (1, – 5),(3, – 2),(7,4) ar collinear

A: Co-ordinate Geometry Question

Q: Which point of concurrency is the center of gravity in a triangle?

A: