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Mathematics · Grade 10

Quadrilaterals and Polygons

Learners prove the properties of parallelograms with congruent triangles, learn several ways to prove that a quadrilateral is a parallelogram, and distinguish rectangles, rhombuses and squares by their diagonals. They study trapezoids and kites, organize quadrilaterals in a hierarchy, and derive and apply the interior and exterior angle sums of polygons.

  • 4 lessons
  • About 125 minutes
  • Quadrilaterals and polygons check: 11 questions
  • Ways to answer: choose an answer, match pairs, type a number, put in order, sort into groups and true or false
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What learners will discover

  • Prove the properties of parallelograms (opposite sides and angles congruent, consecutive angles supplementary, diagonals bisect each other) and apply them.
  • Use criteria to prove that a quadrilateral is a parallelogram, and identify and apply the special properties of rectangles, rhombuses and squares.
  • Apply properties of trapezoids (including the trapezoid midsegment and isosceles trapezoids) and kites, and classify quadrilaterals in the hierarchy.
  • Derive and apply the interior and exterior angle sums of polygons and the angle measures of regular polygons.

Lessons

  1. Properties of parallelograms 6 steps4 practiceabout 30 min
  2. Proving parallelograms; rectangles, rhombuses and squares 6 steps4 practiceabout 32 min
  3. Trapezoids, kites and the hierarchy 6 steps4 practiceabout 30 min
  4. Angles of polygons 7 steps4 practiceabout 30 min
  5. Quadrilaterals and polygons check 11 questions at the end

Keep exploring

More 10th grade math

Guide for grown-ups