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(7.6) Geometry and spatial reasoning.

7.6B STUDENT ACTIVITY #1. (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. QUADRILATERALS.

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(7.6) Geometry and spatial reasoning.

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  1. 7.6B STUDENT ACTIVITY #1 (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.

  2. 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°.

  3. 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°.

  4. QUADRILATERALS 180° Parallelogram 180° 180° 180° • 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.

  5. QUADRILATERALS 90° Rectangle 90° 90° 90° • 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.

  6. QUADRILATERALS 180° Rhombus 180° 180° 180° • Both pairs of opposite sides are parallel. • All sides are congruent. • Both pairs of opposite angles are congruent. • Consecutive angles are supplementary.

  7. QUADRILATERALS Square 90° 90° 90° 90° • Both pairs of opposite sides are parallel. • All sides are congruent. • All pairs of adjacent angles are perpendicular. • All angles are right angles.

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

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