Exercise #2: In the following diagram of right triangle AABC , the altitude has been drawn from vertex C to the hypotenuse АВ , creating two additional right triangles, AACD and ACBD . (a) Why can you argue that AABC ~ AACD ? Likewise AABC ~ ACBD ? (b) Based on (a), why can you argue that AACD ~ ACBD ? B (c) Draw the two smaller triangles in the same orientation as AABC . (d) If AD=8 and BD=2 then find the length of CD and BC . Express all answers in simplest form.

Q: 2 4x + 9to vertex form by Change the standard form equation y = x" completing the square. -

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Q: how the perimeter of any polygon or plane figure can be found given the coordinates of its vertices.…

A: The basic formula used to find the perimeter of a polygon is, Perimeter = sum of all sides.

Q: The vertex of LTUV is point V.

A:

Q: A parallelogram has exactly two paris of perpendicular sides True or false ?

A: The rectangle has exactly two pairs of perpendicular sides.

Q: Can two horizontal planes intersect?

A: Explanation: If two planes are horizontal, it means both are parallel to the x-axis.

Q: A) Find the area of the triangle with vertices A (1, -1, -1), B (1, 1, -2) and C (0, -2, -3). B)…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: If you project a square onto a plane, what shape do you get?

A:

Q: let A=(2,1) B=(0, sqrt(5)) and C= (0,1) show that the sum of the hyperbolic angles of triangle ABC…

A: Given - let A=(2,1) B=(0, sqrt(5)) and C= (0,1) To show - Show that the sum of the hyperbolic angles…

Q: (32) a]  A square has vertices at (0, 0) and (2, 0). Where are the other 2 vertices? (There  are 3…

A: This question can be solved using the concept of distance formula.

Q: Verify that the points are vertices of a parallelogram and find its area A(2,-3,1) B(6,5,-1)…

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Q: B- Vertices of a triangle are, A(-1, 0, 1), B(3, -2, 0) and C(4, 1, -2). Find 1- Area of Triangle 2-…

A: A detailed solution is given below.

Q: If (b₂-b₁) (b3-b₁₂)+(a₂-a₁) (az-a₁) = 0, then prove that th circumcenter of the triangle having…

A: Given that               Vertices of triangle are given by  .Then We have prove that the…

Q: Consider points A(4, -1, 3), B(3, 1, 8), and C(1, -3, -3). (a) Find the area of parallelogram ABCD…

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Q: Can you help me better understand the properties of a special parallelogram

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Q: A camera is located at the point (2, 4). The camera can rotate 360 degrees so can see in However,…

A: (a) To determine if the point (4.5,3) is inside the triangle with corners at (3,1), (4,5), and…

Q: By calculating the lengths of its sides, show that the triangle with vertices at the points A(1, 2),…

A:

Q: 5. The vertices of parallelogram ABCD are: A(3, -2, 4), B(-2, 0, 5), C(3, -5, -4) & D(x, y, z). a)…

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Q: △ABC△ABC has vertices A(0,4), B(6,-1), and C(3,7). What are the coordinates of C' when the triangle…

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Q: The three points A = (1, 3), B = (3, 1) and C = (−2, −2) are taken as the vertices of a triangle T.…

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Q: Quadrilateral ABCD has vertices A(-1, 5), B(4, 4), C(5, -3) and D(-4, -2). Quadrilateral SQUR is…

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Q: 5) x2 (y - 6 ) 2 64 121 + - = 1

A: we will find the required.

Q: 6) Consider the three points in the plane given by their coordinates: A = (0,0) B=(2,2) C=(3,5).…

A: I have explained everything with in the solution. Please go through that

Q: 1. Given: (x - 5)² = -20(y + 7); what is the vertex? A) (-5, -7) O A OB O O D B) (-5, 7) C) (5, -7)…

A: Find the vertex of the given parabola

Q: Imagine you're at a movie theater where the screen is 36 feet tall, mounted on the wall so its…

A: The given figure Let AB=x ft

Q: Do three points determine a plane?

A: We know by following ways plane can be determined: 1. Three non collinear points determine the…

Q: Suppose a triangle has the following vertices: v1 = (-2, 3, 6) v2 = (4, 5, -1) v3 = (3, 3, 0)…

A: As per the question we are given the following 3d coordinates of a triangle as : v1 = (-2, 3, 6) v2…

Q: 3) y = x² + 2x+3

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Q: Find the verticles, foci and graph a) y=2x2-8x+3

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 4) The coordinates of the vertices of triangle SUE are S(-2,-4, Y(2,-1), and E(8,-9). Using…

A:

Q: (1) 100 (20)

A: True or false: The fourth vertex of the parallelogram shown is (a+c, d)

Q: (a) Find the area of the parallelogram with edges v(3,2) and w= = (1, 4).

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Q: A ABC has side lenghts of AB=113 DC 5 ac=110 is this triagle a right vertex share right triangle

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.