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Get your free distance formula worksheet of 20+ straight line graphs questions and answers. Includes reasoning and applied questions. DOWNLOAD FREE
The distance formula calculates the distance between two points by treating the vertical and horizontal distances as sides of a right triangle, and then finding the length of the line (hypotenuse of a right triangle) using the Pythagorean Theorem.
To learn about the Distance Formula please click on the Straight Line Theory Guide (HSN) link and read from page 2. Please also find in Sections 2 & 3 below videos , mind maps (see under Straight Lines) and worksheets on this topic to help your understanding.
1. Use the Distance Formula 2. Use the Midpoint Formula Examples: 1. Find the distance between the points (-3,7) and (4,10). 2. Determine whether the triangle formed by points A=(-2,2), B=(2,-1), and C=(5,4) is a right triangle. 3. Find the midpoint of the line segment joining the points P1=(6,-3) and P2=(4,2). Teaching Notes:
Distance Formula and Pythagorean Theorem Example: The distance between (3, 4) and (x, 7) is 5 units. Find x. Using the distance formula: (3 —x)2 + (4—7) x) 3 Solving Graphically (Pythagorean Theorem) Example: b b 3 -5 4 or -4 The length of segment AB is 20. If the coordinate of Ais (5, 1), and the coordinate of B is (-6, y), what is b?
Find the length of FG in simplest radical form. 18 Find, in simplest radical form, the length of the line segment with endpoints whose coordinates are. (−1,4) and (3,−2). 19 The endpoints of AB are A(3,−4) and B(7,2). Determine and state the length of AB in simplest radical form.
Our printable distance formula worksheets are a must-have resource to equip grade 8 and high school students with the essential practice tools to find the distance between two points. Gain an edge over your peers by memorizing the distance formula d = √ ( (x 2 - x 1) 2 + (y 2 - y 1) 2 ).
