SME
Grade 10 Math
Quadrilaterals and other polygons: angle sums and properties
The main lesson, then each kind of problem it solves.
Quadrilaterals and other polygons: angle sums and properties
Main lesson
Angles of a parallelogram
Use this for “In parallelogram ABCD, m∠A = 58°. Find m∠B and m∠C.”
Rectangle and its diagonals
Use this for “A rectangle is 12 by 5. How long is each diagonal?”
Rhombus from its diagonals
Use this for “A rhombus has diagonals 12 and 16. Find its side and its area.”
Trapezoid midsegment and area
Use this for “A trapezoid has bases 9 and 15 and height 5. Find its midsegment and area.”
Kite
Use this for “A kite’s diagonals cross at O; BD = 12, OA = 8 and OC = 4.5. How long are its sides?”
Area of a regular polygon
Use this for “A regular hexagon has sides of 4 cm. Find its apothem and its area.”
Name it exactly
Use this for “A parallelogram has perpendicular diagonals. What is the most exact name for it?”