pdf Pythagorean Theorem Mixed Practice: Missing Sides & Coordinate Distance New
Tagged in 8.G.B.7, 8.G.B.8, 8th grade, coordinate plane, distance on a coordinate grid, geometry, horizontal change, irrational numbers, missing hypotenuse, missing leg, mixed practice, pythagorean theorem, radicals, right triangles, simplifying radicals, square roots, vertical change
This Pythagorean Theorem mixed-practice worksheet gives students comprehensive practice finding missing side lengths in right triangles. Students find hypotenuses, determine missing legs, and use coordinate grids to calculate the distance between two points.
Students identify the legs and hypotenuse, substitute known values into \(a^2 + b^2 = c^2\), and solve equations involving squared quantities. For the coordinate-grid problems, students complete right triangles using horizontal and vertical segments before applying the theorem. Answers include whole numbers, simplified radical expressions, and decimals rounded to the nearest tenth.
This resource works well for guided practice, independent practice, homework, review, intervention, test preparation, or formative assessment. The included answer key shows each Pythagorean Theorem setup, substitution, calculation, completed coordinate-grid triangle, and final answer.
Skills Assessed
- Applying the Pythagorean Theorem, \(a^2 + b^2 = c^2\)
- Finding the hypotenuse of a right triangle
- Finding a missing leg of a right triangle
- Finding distance on a coordinate grid
- Identifying the legs and hypotenuse
- Determining horizontal and vertical change
- Solving equations involving squared quantities
- Simplifying radical expressions
- Rounding irrational answers to the nearest tenth
- Expressing answers with appropriate units
Details
- 4 pages
- 2 student practice pages
- 12 total problems
- 4 missing-hypotenuse problems
- 4 missing-leg problems
- 4 coordinate-grid distance problems
- Whole-number, radical, and decimal answers
- Answer key with worked solutions included
ID# 0970