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EXAMPLE 1: Find the distance between T(5, 2) and R(4,1) to the nearest tenth. EXAMPLE 2: Find PQ if P( 3, 5) and Q( 4, 6) . Note: When two segments have the same length, they are said to be congruent. For example, if AB = BC, then we write AB BC#, which is read “segment AB is congruent to segment BC.” ( , )xy 11 ( , )xy 22 Distance Formula ...
Question 1: Calculate the perimeter of triangle ABC. Question 2: The distance between the points (1, 2) and (16, p) is 17. Find the possible values of p. Question 3: The distance between the points (−3, −4) and (q, 5) is 15. Find the possible values of q.
The zero 0 divides the positive axis from the negative axis. A point P in the plane R2 is determined by two coordinates. We write P = (x; y). In space R3 nally, we require three coordinates P = (x; y; z), where z usually is thought of as height, the distance from the xy-plane.
Distance between 2 coordinates. Name: Exam Style Questions. Ensure you have: Pencil, pen, ruler, protractor, pair of compasses and eraser. You may use tracing paper if needed. Guidance. Read each question carefully before you begin answering it. Donʼt spend too long on one question. Attempt every question. Check your answers seem right.
Point A has coordinates (3, -4) and point B has coordinates (-5, 2). Calculate the distance of the line segment AB. Using the formula for the distance between two points, Substituting in the two given coordinates: Simplify: Answer = 10 units
d) Use the distance formula to find the distance between R (-5, 4) and S (-1, -2). e) If the coordinates of A, B and C are (5,4) , (-1, 2) and (3,-2) respectively, find the perimeter (周界) of triangle ABC.
This chapter uses coordinates to describe points and lines in two dimensions. When you have completed it, you should be able to find the distance between two points find the mid-point of a line segment, given the coordinates of its end points find the gradient of a line segment, given the coordinates of its end points
