Triangle DEF has vertices located at D (2, 1), E (3, 5), and F (6, 2). Part A: Find the length of each side of the triangle. Show your work. (4 points) Part B: Find the slope of each side of the triangle. Show your work. (3 points) Part C: Classify the triangle. Explain your reasoning. (3 points)

Q: Line AB contains points A(4, 5) and B(9, 7). What is the slope of AB? 5 2

A: We need to find the slope of the line AB.

Q: example- A parallelogram has the vertices (-1,2), (4,4), (2,-1), and (-3,-3). Those are the numbers…

A: By using distance formula first we will find it's distance then it's slope

Q: Point A and B are plotted on the coordinate grid below  What are the coordinates of the point that…

A: Here we have coordinate of point A(1,1) and coordinate of point B(10,7) Let coordinate of point…

Q: What is the slope of the line that passes through the points (3,3) and (-3,-1). Hint: use graph…

A: Given that the line is passing through the points

Q: What is the midpoint line segment AB shown on the coordinate plane below? (4-5) 12

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Q: 1.) The vertices of a trapezoid are A (3,3), B (4,6), C (8,3), and D (7,6). Find the slope of each…

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Q: 7. Below, quadrilateral ABCD is plotted with coordinates 4(0, 8), B(4, 2), C(-3, – 4) and D(-7, 2).…

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Q: A point C with z-coordinate 8 lies on the line segment joining the points A(2, -3, 4) and B(8, 0,…

A: We have to find the co-ordinates of point C on the line segment joining A and B.

Q: 5) Triangle ABC is formed by the vertices A (-4, 4) B (0, 2) C (2, 6). Fill out the table of slopes…

A: We know that slopem of line joining two pointsx1,y1,x2,y2 and distanced between them is given by…

Q: QI: A) Find the nearest distance from the point (-4,2) and the line 2x-y 5

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Q: Find the midpoint of the line segment joining the points P, and P2- P1 =(-2, 4); P2 = (7, 0) The…

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Q: The point P(-1, 3) is reflected in the line y = x, translated up 2 units, then dilated with a scale…

A: We are given the point P(-1, 3). Graphically: Then P(-1, 3) is reflected in the line y = x. We know…

Q: ketch the line with slope (5)/(4)  that passes through the point  (−2, 1).

A: Given that: Slope of the line =54 and the line passes through (-2,1).

Q: b. Jenna found the LSRL (using technology). Unfortunately, the paper with the LSRL was ripped and…

A: Given data: Candy Tired Moments 14 8 3 2 8 4 10 7 11 9 5 3 7 7

Q: Skill Practice 2 Determine if the points X(-6, –4), Y(2, -2), and Z(0, 5) form the vertices of a…

A: The slope of a line can be calculated if two points on the line are given. Product of slopes of two…

Q: Triangle #1 In the diagram below, triangle ABC has vertices A(4,5), B(2,1), and C(7,3). 1 Find the…

A: Here the problem is to find the slope of the line AB Here we use the Formula for finding slope of…

Q: Find the midpoint of the line segment joining the points P, and P2. P1 = (-2, 8); P2 = (7, 0) The…

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Q: e a shape on a coordinate plane. why the shape ABCD is not a parallelogram? opposite slopes.

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Q: Find the distance between the two given points (-6,-3) and (-2,3) the distance between the two…

A: Answer and explanation is given below

Q: Solve P(-3,-5) and Q(1,-3) represent points in a coordinate plane. Find the midpoint of PQ.

A: We have to find the midpoint of the PQ where P-3,-5 and Q1,-3 represents points in a coordinates…

Q: Find the coordinate of the other endpoint if one endpoint of a segment is at (6,0) and the midpoint…

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Q: The coordinates of two vertices of rectangle ABCD are B(2,1) and C(4,4) Determine the slope of side…

A: The slope of parallels lines is equal. Multiplication of slopes of perpendicular lines is equal to…

Q: The points (2,4) and (6,7) lie on a line. What is the slope of the line? O 2 O 1 4

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Q: -6 Exploration Part 2: Find the distance of each line segment below. 1) 2) 64 5. -6 -5-4 -2 +1 2. 6…

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Q: Triangles PQR and RST are similar right triangles. Which proportion can be used to show that the…

A: Coordinates of P-7, 7 and R-4, 3Slope PR = 3 - 7-4 -7

Q: Solve each problem A segment on the coordinate plane has one endpoint located at (7, –7) and its…

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Q: In the coordinate plane shown, point C (not shown) lies on segment AB. y B (10, 10) (2, 4) If the…

A: We use section formula

Q: Line segments AB and CD are both diameters of a circle that passes through the origin of a set of…

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Q: Question Details If the midpoint of a segment is (-3, 2) and one endpoint is (3, 0), what is the…

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Q: distance

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Q: A point C with z - coordinate 8 lies on the line segment joining the points A(2, -3, 4) and B(8, 0,…

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Q: The diagram below shows points P, Q and R. The coordinates of the points are given by P ,Q(5, 6) and…

A: The solution is given in the next step.

Q: The endpoints of a side of rectangle ABCD in the coordinate plane are at A (2, 9) and B(4, 1). Find…

A: equation of the line which is passes through point (x_1,x_2) with slope m is  y-y_1 = m( x-x_1)  and…

Q: В4, 3) 1) Is the figure a rectangle? Explain your reasoning. A(-2, 1) C(5, 0) Slope of: AB: DC: Are…

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Q: Exercise 2: You and two friends plan to meet to work on this homework. You want the meeting place to…

A: Imagine the houses as the vertices of a triangle. Now, The circumcenter of a triangle is the point…

Q: Use the point on the line and the slope of the line to find three additional points that the line…

A: Solve for the to get points

Q: Sammy is classifying quadrilateral EFGH. How can she use coordinate geometry to determine whether…

A: sammy can use the distance formula to show opposite sides are equal and the slope formula to show…

Q: 4. Point P is located on AB such that the ratio of AP:PB is 3:4. If the coordinates of AB are A(-9,…

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Q: A line intersects the points (4, 3) and (11, -4). What is the slope of the line in simplest form? m…

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Q: A point C with z- coordinate 8 lies on the line segment joining the points A(2, -3, 4) and B(8, 0,…

A: A point C with z- coordinate 8 lies on the line segment joining the points A(2,-3,4) and B(8,0,10)

Q: AOBC is a rectangle whose three vertices are A ( 0,3) , O ( 0,0) , B (5,0) and C ( x, y) .    What…

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Q: Multi-Step Find the circumcenter of a triangle with the given vertices. 8. A(-7, 0), O(0, 0), B(0, –…

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Q: Acellus Find the equation of the line passing through the points (6,3) and (-4,3). y = [ ? ]

A: topic -equation of line equation of line is y=3 as line is parallel to x axis

Q: Using slope proof that points a (3,7), B (1,4) and C (0,5) are vertices of a triangle

A: We can find the answer as below.

Q: The line segment WX will be dilated by a scale factor of 2 about point Z to create line segment…

A: Dilating by a scale factor of x units about a point means the distance of every point from that…

Q: The triangle ΔABC has vertices A (5, -3), B(-6, 4) and C (0,6).  Find the equation of the altitude…

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Q: A point C with z- coordinate 8 lies on the line segment joining the points A(2, - 3, 4) and B(8, 0,…

A: The z-coordinate of point C is 8 and this point is lies on the line segment joining the points A(2,…

Q: The vertices of a trapezoid are A(3,3), B(4,6), C(8,3), and D(7,6). Find the slope of each side. 2.…

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