Tell whether or not the statement is always true for a particular finite geometry. Statement 3-Point 4-Line 4-Point Fano Pappus Desargues For each two distinct points, there exists exactly one line on both of them. Each line has two or fewer other lines of the geometry parallel to it. Through a point not on a given line, there is exactly one line parallel to the given line.

Q: Which set of line segments could create a right triangle? A - 24, 30, 35 B - 12, 18, 30 C - 18,…

A: If triangle right angled then  C2= a2+b2   c = longest side                      a =  second side…

Q: . AABC is equilateral with vertices A(r, 0) and B(-r, 0). Which of the following could be the…

A: Given: ∆ABC is an equilateral triangle with vertices Ar, 0 and B-r, 0. a) Let the given point r3,…

Q: 4. Show that following three poins lie on the same line, Find an equcetion Sor the line throuan two…

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Q: ometry and how it rela

A: In projective geometry duality is a fundamental concept that establishes a correspondence between…

Q: Determine the equation of the set of all points equidistant from the points A(1,0, 1) and B(2,2, 2).…

A: Given, The points A(1,0,1) and B(2,2,2). Point C is equidistant from two points A and B if the…

Q: a. (x - 2) 2 + (y - 2) 2 = 40 b. (x - 2) 2 + (x + 2) 2 = 34 10. If the equation of the circle is x2…

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Q: 2 3. 4. A -3

A: From the given Graph A = (-4, -2) B = (4, 4)

Q: when the center of a circle is at the origin, the equation to be used is when the center of a circle…

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Q: If a graph is a line, it will always have a domain of all real numbers. O True O False

A: Note that every graphs are not represent a function. So if your graph is represent a function then…

Q: Write an ordered pair for each point described. Point C is four units to the right of the y­axis and…

A: If we start from origin and mover 4 units to right of y-axis We get the point (4,0) And if we move 7…

Q: Draw the circle x² + y 16. 6+ 4 3 2 -6 -5 -4 -3 -2 -1, 1 2 3 4 5 6 -2 -3 -4 -5

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Q: A circle is centered at the point (– 2, 5) and has a radius of 6 units. a. Which points on the…

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Q: 9. 8- 7- 6- 2 9-8 -7-6 -5 -4 -3-2 123456 789 -2- -3- -4- -5 -6 -7 -8 -9- 9786 654 32

A: Topic = Circle

Q: You reflect triangle PQR, with vertices P(-2, -4), Q(-3, -1), and R(-4, -4), across the y-axis to…

A: Let a point ( x , y ) when this point reflected about y axis then coordinate of reflected point will…

Q: Note: The equation for the Unit Circle is x² + y² = 1. Recall from Math141 (Precalculus I): When…

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Q: Which of the following is the most precise method of determine if 4 vertices on a coordinate plane…

A: Check whether or not diagonals are perpendicular: If the real number of the vectors between the…

Q: ILLUSTRATION NO. &. the vertices of I use are J (5, 1), 5(-3,2), and ( (-4₁-7). Finct the length of…

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Q: From here on, each Problem Set will end with a series of review problems. In mathematics,it is very…

A: The given two points are, 3,-2 and -1,-4. To find the sistance between two given points, we use the…

Q: 2. Find the images of the mapping 22 of the line y 2. W =

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