1 / 17

An Introduction to Quadrilaterals

by Carol Edelstein. An Introduction to Quadrilaterals. Definition. Polygon – a closed, straight-sided, plane figure. Definition. Angle – two rays that meet at a common end point. Definition. Degree – a unit of measurement of an angle, represented by the symbol º. 90 º. Definition.

bruno-johnston
Download Presentation

An Introduction to Quadrilaterals

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. by Carol Edelstein An Introduction to Quadrilaterals

  2. Definition • Polygon – a closed, straight-sided, plane figure.

  3. Definition • Angle – two rays that meet at a common end point.

  4. Definition • Degree – a unit of measurement of an angle, represented by the symbol º. 90º

  5. Definition • Diagonal – a line segment joining two non-adjacent vertices of a polygon.

  6. Definition • Quadrilateral – a polygon with 4 angles and 4 straight sides.

  7. Special Quadrilaterals Parallelograms – opposite sides are parallel and congruent. • Rectangles – a parallelogram with all angles 90°. • Squares – a rectangle with all sides equal . • Rhombus – a parallelogram with all sides equal. Trapezoid – one set of sides are parallel.

  8. Venn Diagram Persective of Quadrilaterals Quadrilaterals – 4 sided polygon Trapezoids (one set of parallel sides) Parallelograms (opposite sides are parallel and congruent). Rhombus Rectangle Square

  9. Quadrilateral Family parallelogram trapezoid rectangle rhombus quadrilateral square

  10. Property of Quadrilaterals • The sum of all the interior angles equals 360º.

  11. Property of Quadrilaterals • Why is the sum 360º ? Well, if you choose a vertex you can only draw one diagonal. This one diagonal “splits” the quadrilateral into two triangles. Since the sum of the internal angles of a triangle are 180 degrees, a quadrilateral has 360 degrees (2 x 180 º ).

  12. Property of Quadrilaterals • The sum of all the interior angles equals 360º degrees. 65º 65º 115º 65º 115º 115º + 65º 115º 360º

  13. What is the missing angle? 90º 90º 90º 90º 90º + 90º ? 90º ? 360º

  14. What is the missing angle? 70º 70º 70º 70º 110º ? 110º 110º ? + 360º

  15. What is the missing angle? 65º 65º ? 65º 115º 115º 65º 115º + ? 360º

  16. What is the missing angle? 60º 81º 104º ? 104º 115º 60º 81º + ? 360º

  17. Congratulations and good job! • Now you know that… • A quadrilateral is a 4-sided polygon. • There are many types of quadrilaterals. • Classification depends on how many sets of sides are parallel, the length of the sides and the measure of the interior angles. • The sum of the interior angles of a quadrilateral is 360º.

More Related