(7.6) Geometry and spatial reasoning. The student compares and classifies shapes and solids using geometric vocabulary and properties. The student is expected.

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Presentation transcript:

(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°

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°

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°

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°

QUADRILATERALS Trapezoid Exactly one pair of opposite sides is parallel. Exactly two pairs of consecutive angles are supplementary. 180°