In this section you are to provide short answers to each question. 1. (a) Identify each as a line, line segment or ray. (i) AB (ii) −→AB (iii) ←→AB (b) give reasons for your answers in 1a (c) Are the −→AB and −→BA same? Why? (d) Does a regular pentagon tessellate? ........ (e) Justify your answer in 1d Fill in the spaces in 1f to 1h (f) A ....... divides a two-dimensional shape into two congruent shapes. (g) When two straight lines cross, it is found that the angles opposite each other are the same size. They are known as ............. (h) Can the sine rule relationship in trigonometry be used with non￾right-angled triangles? ......

Q: What will be the axis of symmetry, the line about which a figure or curve is upon itself, between…

A: Given :   y=4x-2

Q: A and B are two points in the xy-plane. If their coordinates are A(2, 3) and B(4,3), which of the…

A:

Q: L. 4y – 2 - 2 M 2х + 10 |15 +х K 8—у N 'N,

A: Property of Parallelogram: Opposite sides are equal.

Q: . Calculate the area of the triangle formed by the line 3x-7y+4 =0 , and the (ans.: 8/21) axes.

A: As per our guideline we are allowed to do 1 question at a time. Please post other questions next…

Q: A parabolic antenna follows the equation y^2 + 4x = 0. Which of the following is the coordinates of…

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Q: d. Find the equations of the two parallel planes that are distance 5 away from plane P.

A:

Q: 18 What is the equation of a circle with radius 3 and center (3,0)? A x² +y? – 6x = 0 B. x? +y? + 6x…

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Q: Which equation represents a circle with center (-4, 9) and radius 7? 1.(x+4)^2 + (y-9)^2 = 7…

A: Use the standard form of equation of circle when centre and radius are given.

Q: 2) If you are given two points in space, P1 (X1,yı) and P2 (X2,yz), demonstrate why the distance…

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Q: 1. x2 + y? + 5y = 19 2. x2 + 6x + y2 = 7 4. x2 + y2 + 16x - 12y = -7 %3D 3. x2 -8x + y2 +9y 20 %3D

A: General equation of circle is x-h2 +y-k2 =r2 where ( h, k ) is the coordinate of centre of circle…

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

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Q: 4. What is the equation of a line parallel to the diameter of circle A, with a center at (-5,7) and…

A: Given query is to find the line which parallel to the given line.

Q: d. I am constructed using 3 rectangles and 2 triangles e. I have 4 more flat faces than a cylinder…

A: (d) The triangular prism consists of two triangles and three rectangles. The triangles are the bases…

Q: In the following diagram, A || B. 21 3x+7 2 23 B 24 26 25 4x+5 5y-29 27 28 Зу+19 1. Use complete…

A: Given problem:-

Q: 2. Find the points of intersection of the two circles x? + y² + 4x = 0 and x² + y² – 4y = 0. Sketch…

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Q: 28. Given the points A(3, 2) and B(7, -6) what is the point halfway between A and the midpoint of…

A: To solve the following problem

Q: The general solution of the DE xdy = ydx is a family of A lines passing through the origin B…

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Q: * the lines 2x . 3y 1=0 and 3x - y -4 = 0 ke along diameters of a circle of circumference 10 , then…

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Q: der the following equation ofa circle. (1*) +0+17 = 36 25 ep 3 of 3: Find three points that lie on…

A: we have to find three points on circle

Q: What are the coordinates of the vertices of AA'B'C' after a reflection across a line through point P…

A: Given, ∆A'B'C' is formed after a reflection across a line through point P followed by a translation…

Q: Sketch parallelogram-INDY with diagonals intersecting at point P in the box below on the left. If IP…

A: Given,           A parallelogram INDY with diagonals intersevting at point P.           IP=3x,…

Q: Find the coordinates of the missing endpoint given that P(6, 3) is the midpoint of NQ and N(5, 4)?

A: Coordinates of mid point Mx,yof the line joining two points Ax1,y1 & Bx2,y2 are given…

Q: In Problem,find the distance from P1 to P2.

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Q: If the object starts from A and AB=10m east BC=5m north, CD=5m west DE=3m north and EF=2m west and f…

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Q: The figure satisfies the Midpoint theorem for a triangle. Calculate (x + y) 4у x + 4 6(у-1) 4x -2

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Q: 2/3 2/3 Sindangquationaflatangat linotothe cunse X (8,-4) " ye 2 a0at the point

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Q: Test for symmetry with respect to each axis and to the origin xy−√(4 − x2) = 0

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Q: Which among the following statements are FALSE? I. The midpoint of a line segment joining two points…

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Q: 19.) Question is attached!

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Q: 1. Which of the following points in the standard (x, y) coordinate plane is farthest from the…

A: Which of the following  points in the standard (x, y) coordinate plane is furthest from the origin

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Q: 1. What are the center and radivs of the circle with an equatlon x2 +y? + 8x- 4y-5 = 0 2. What are…

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Q: What can you conclude if you know that the point (p, q) lies on the line y = mx + b?

A: We have to conclude if the point p, q lies on the line y=mx+b. We know that if any point is lying on…

Q: Test for symmetry with respect to each axis and to the origin xy = 4

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Q: In the following diagram, A || B. 21 3x+7 2 23 B 4 26 25 4x+5 5y-29 28 Зу+19 Use complete sentences…

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Q: 1. Which of the following points in the standard (x, y) coordinate plane is farthest from the…

A: Find the distance of each given point from origin Using distance formula.

Q: 15. Complete the squares on x- and y-terms of the circle: 4x + 24x + 4y + 36y =0. SLO 12

A:

Q: Which of the following mathematical models is used to determine the distance between two points…

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Q: Find the cоттоn points of the circles (x + 1)² + (y – 1)² = 5 and x² + y? = 1.

A: Common points of the circles simply means the point of intersection of the given circles.

Q: DERIVE the formula (shown below) for the distance D between point, P0(x0, y0, z0) and the plane, ax…

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Q: What would the coordinates of B' be if the triangle graphed below was reflected across the line y…

A: The reflection of the point (x,y) across the line y=x is (y,x)

Q: Find the angle, in degrees, between the 2 planes with equations X-y+3z=1 and 3x+ y-z=D2

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Q: Find the point (Xo, Yo) on the line 4x + 6y = 12 that is closest to the origin. (Xo, Yo) =

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Q: [c] Use the formula you found in part [b] to find the shortest distance from the point (2, 3, -1) to…

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Q: * the lines 2x • 3y + 1 = 0 and 3x - y - 4 = 0 ke along diameters of a circle of circumference 10 n,…

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Q: Test for symmetry with respect to each axis and to the origin. xy = −2

A: xy=-2 Replace x, y by x, -y, we get x-y=-2⇒xy=2 Which is not same as original equation. Therefore…

Q: Graph the image of square TUVW after a reflection across the y-axis. 10 6- 4. W V -10 -4 0. 4. 10 -4…

A: Draw a schematic diagram of given figure. .

Q: If you wanted to reflect a line segment with one endpoint at (x,y) about the x-axis, which of the…

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Q: On a dark night, two ships, Saga and Hero, sail parallel to a straight coastline on which there are…

A: We have, I=1b2+x+82+1b2+x-82dIdx=-2x+8b2+x+822+-2x-8b2+x-822     =-2x-8b2+x+822+-2x+8b2+x-822…

Q: 4) Find the two points of the form (x,-4) that have the same distance of 10 units from the point…

A:

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.