Geometry CP
Unit 7 – Quadrilaterals
Objectives / Big Ideas
Students should be able to:
1.
2.
3.
4.
5.
Know and apply the Polygon Interior Angle Sum Theorem.
Find the measure of 1 interior angle of a polygon.
Know and apply the Polygon Exterior Angle Sum Theorem.
Find the measure of 1 exterior angle of a polygon.
Know and apply the properties of a parallelogram.
Opposite sides are congruent.
Opposite angles are congruent.
Consecutive angles are supplementary.
Diagonals bisect each other.
One pair of opposite sides are both parallel and congruent.
6. Prove properties of parallelograms – including: opposite sides are congruent, opposite angles
are congruent, the diagonals bisect each other, and rectangles are parallelograms with congruent
diagonals.
7. Know and apply the properties of rectangles.
A rectangle is a parallelogram. (So, the above properties apply.)
Diagonals are congruent.
A rectangle has 4 right angles.
8. Know and apply the properties of rhombi.
A rhombus is a parallelogram. (So, the above properties apply.)
All sides are congruent.
Diagonals are perpendicular.
Diagonals bisect each pair of opposite angles.
9. Know and apply the properties of squares.
A square is a parallelogram.
A square is a rectangle.
A square is a rhombus.
10. Know and apply the properties of trapezoids.
Only one pair of opposite sides are parallel.
Two pairs of consecutive angles are supplementary.
11. Know and apply the Trapezoid Midsegment Theorem.
12. Know and apply the properties of isosceles trapezoids.
Non-parallel sides are congruent.
Two pairs of base angles are congruent.
Diagonals are congruent.
11. Know and apply the properties of kites.
Two pairs of consecutive sides are congruent.
Diagonals are perpendicular.
One pair of opposite angles are congruent.
12. Use coordinates to prove simple geometric theorems algebraically.