(7.6) Geometry and spatial reasoning.

The student compares and classifies shapes and solids using geometric vocabulary and properties.

The student is expected to:(B) use properties to classify triangles and

quadrilaterals.

7.6B STUDENT ACTIVITY #1

QUADRILATERALS• A quadrilateral is a polygon. A polygon is a

closed plane figure formed by line segments that meet only at their endpoints.

• A quadrilateral has four sides which are line segments.

• Some quadrilaterals have special traits, so they have special names: trapezoid, parallelogram, rectangle, rhombus, and square.

• The sum of the measures of the four angles of any quadrilateral is 360°.

QUADRILATERALS

• Parallel – two lines that are the same distance apart at all points. (They never intersect)

• Congruent – having the same size and shape.

• Consecutive – following in order.

• Supplementary – two angles whose sum equals 180°.

• Perpendicular – lines that intersect at one point and form right

angles.

• Adjacent – angles that share a common ray, have a common

vertex,and do not overlap.

• Right Angle – an angle with a measure of 90°.

QUADRILATERALS

Parallelogram

• Both pairs of opposite sides are parallel.

• Both pairs of opposite sides are congruent.

• Both pairs of opposite angles are congruent.• Consecutive angles are supplementary.

180°

180°

180°

180°

QUADRILATERALS

Rectangle

• Both pairs of opposite sides are parallel.

• Both pairs of opposite sides are congruent.

• All pairs of adjacent angles are perpendicular.• All angles are right angles.

90°

90°

90°

90°

QUADRILATERALS

Rhombus

• Both pairs of opposite sides are parallel.

• All sides are congruent.

• Both pairs of opposite angles are congruent.• Consecutive angles are supplementary.

180°

180°

180°

180°

QUADRILATERALS

Square

• Both pairs of opposite sides are parallel.

• All sides are congruent.

• All pairs of adjacent angles are perpendicular.• All angles are right angles.

90°

90°

90°

90°

QUADRILATERALS

Trapezoid

• Exactly one pair of opposite sides is parallel.• Exactly two pairs of consecutive angles are

supplementary.

180°180°