Complete the table. Definition What does it look like? How is it written? A real life example Example: ZABC or ZCBA Aman looking at the plane and looking at Angle has two rays with common vertex. or ZB the dog. 1. A point has no 2. A line extends in 3. A plane has but, 4. A ray has endpoint. 5. A line segment has endpoints 8.
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A: x-axis is also known as the principal axis . The y-coordinate of the point that lies on x-axis is 0.
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A: Step (I)Given point : P1(-3,4) , P2(6,0) we know that:midpoint(m)=x1+x22,y1+y22
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A: As per our guideline if multiple questions are posted we are supposed to answer only the first one.
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Q: 12. A quadrilateral has vertices D(1, 2), E(3, 5), F(5, 2), G(3, -1). Determine whether DEFG is a…
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A: Reflection of a point (x, y) over the x-axis is (x, -y) and over the y-axis is (-x, y).
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- Quadrilateral ABCD has vertices A(0,5) B(1,2) C(3,2) and D(2,5). Quadrilateral ABCD is rotated 90 counterclockwise about the origin. Which statement about what happens when point A is rotated is true?A.The x-coordinate of vertex A does not changeB.The y-coordinate of vertex A does not changeC.The image of vertex A remains on the y-axisD.The image of vertex A is a point on the x-axisSomeone hands you a surface. One side is colored purple, and the other side is colored gold. You find that you can cut the surface along two disjoint loops and still have a single piece. But you can find no third loop to cut along without it breaking into two parts. Identify the surface, with a brief explanation. This is from a mathematics topology course.Here is another typi-cal problem in computer graphics. Your eye is at (4, 0, 0). You are looking at a triangular plate whose vertices are at (1, 0, 1), (1, 1, 0), and (-2, 2, 2) . The line segment from (1, 0, 0) to (0, 2, 2) passes through the plate. What portion of the line segment is hid-den from your view by the plate? (This is an exercise in finding intersections of lines and planes.)
- Subject: PrecalculusTopic to be discussed: Analytic geometry Question Given: (x2-2)2/4 + (y-4)2/16= 1 Where can you find one of the vertices? (0,4) (-2,4) (2,4) (2,0)The geometry club designed a new shirt for club members. The pocket is formed by a rectangle with vertices at R(2, 1), S(10, 1), T(10, 10), and U(2, 10). The geometry club logo will be placed on a quadrilateral formed by connecting the midpoints of the sides of the rectangular pocket. a. Find and label the coordinates of the vertices of the interior quadrilateral. b. Make a conjecture to classify the interior quadrilateral that will be used for the geometry club logo using lengths and slopes of the sides.Combinations Suppose there are 10 points in a plane such that no three points are collinear. How many distinct triangles can be found with 3 of these points as vertices?
- The graph of (x/a) +(y/b) + (z/c) = 1 is a plane for any nonzero numbers a, b, and c. Which planes have an equation of this form? Choose the correct answer from the options below: The equation describes all planes except those through the origin. The equation describes all planes except those parallel to a coordinate axis. The equation describes all planes except those through the origin or parallel to a coordinate axis. The equation describes all planesA rhombus, COAL is centered at the origin. The longer diagonal (segment CA) is on the x-axis and has a length of 27 in. The shorter diagonal (segment OL) is on the y-axis and has a length of 19 in. Determine the coordinates of the vertices. C O A LYou Centerville is the headquarters of Greedy Cablevision Inc. The cable company is about to expand service to two nearby towns, Springfield and Shelbyville. There needs to be cable connecting Centerville to both towns. The idea is to save on the cost of cable by arranging the cable in a Y-shaped configuation. Centerville is located at (7,0) in the xy -plane, Springfield is at (0,4) , and Shelbyville is at (0,-4) . The cable runs from Centerville to some point (x,0) on the x -axis where it splits into two branches going to Springfield and Shelbyville. Find the (x,0)location that will minimize the amount of cable between the 3 towns and compute the amount of cable needed. Justify your answer. To solve this problem we need to minimize the following function of x : f(x)=
- 4.09 DISCUSSION CHOICE A Follow these directions: you can use DESMOS for this activity Two vertices of a quadrilateral are A(-3, 2) and B(2, -1). 1) You will identify each vertex to make square ABCD using the given coordinates for A and B. 2) Prove that the figure with your four vertices is a rectangle (not a square). Instructions on what to submit: When you have finished, post the coordinates of your 4 vertices for your rectangle, an image of your rectangle, and your proof showing that it is a rectangleThe figure to the right suggests a number of lines and planes. The lines may be described by naming two points, and the planes may be described by naming three points. Use the figure to name the following. Three planes whose intersection is a single point on the figure. Select the set of three planes who’s intersection is a single point on the figure. Archeologists are studying a shipwreck on the ocean floor. The wreck site is roughly shaped like a parallelogram. The archeologists make a map of the site in the coordinate plane. Each unit on the map represents 1 m. Parallelogram PQRS represents the wreck site, with P at (9,2), Q at (-8,2), and R at ( -7,7). Vertex S is not yet mapped but it to the right of vertex R. According to the map, what is the area of the wreck site?? S-state the problem U-underline vocab E- explain your answer S- solve S- show your work