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Quatrilateral Review

Andrew Mundell. Quatrilateral Review. Click on the next arrow to proceed. Audience. High school geometry class About 10 th grade Students who have finished all lessons before a test and are in need of review material. Environment. Individually in a computer lab Or at a home computer

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Quatrilateral Review

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  1. Andrew Mundell Quatrilateral Review Click on the next arrow to proceed

  2. Audience • High school geometry class • About 10th grade • Students who have finished all lessons before a test and are in need of review material

  3. Environment • Individually in a computer lab • Or at a home computer • Headphones for sounds incorporated (but sounds are not necessary, so it could also be done with no sound)

  4. Objective • Students will be able to identify types of quadrilaterals based on information or pictures given with 80% accuracy • Students will be able to calculate areas and perimeters of different quadrilaterals using a calculator with 80% accuracy. • Students will be able to calculate areas and perimeters for shapes made up of multiple quadrilaterals with 70% accuracy

  5. Let’s Review Quadrilaterals!!! This program will review all of the important material you will be expected to know for the test. The three topics are types of quadrilaterals, perimeters of quadrilaterals, and areas of quadrilaterals. This review also includes some sample problems that will be similar to those you might see on the test.

  6. Program Menu • Click on a topic to jump to… • Types of quadrilaterals • Rectangle • Parallelogram Application • Rhombus • Trapezoid • Square • Kite • Areas and Perimeters of Quadrilaterals • Rectangle • Parallelogram Application • Rhombus • Trapezoid • Square • Kite • Select a quiz to take… • Types of quadrilaterals • Areas and Perimeters • Or just start at the beginning by clicking the next arrow. You can use the previous arrow to move back slides and the home arrow to return here.

  7. What is a Quadrilateral again? • A quadrilateral is any polygon with four sides. Reminder: A polygon is a closed figure made by joining line segments. This one has too many sides! This must be one. It has four sides. This is not a quadrilateral. Here’s one!

  8. Types of Quadrilaterals We have discussed six different types of quadrilaterals in this class. See if you can remember what makes each of these types unique before we review them together. • Rectangles • Rhombuses • Squares • Parallelogram • Trapezoids • Kites When you are ready to begin the review, click the next arrow.

  9. Rectangle • A rectangle is a quadrilateral with all 90 degree angles • The sides of a rectangle will always be parallel All angles are 90 degrees!

  10. Rhombus • A rhombus is a quadrilateral with all sides the same length • The sides of a rhombus will always be parallel Every side has the same length!

  11. Square • A square is a quadrilateral with equal sides and all 90 degree angles • The sides of a square will always be parallel Note: A square is also a rectangle and a rhombus All sides are equal AND all angles are 90 degrees!

  12. Parallelogram • A parallelogram is any quadrilateral where opposite sides are parallel. Note: All rectangles, rhombuses, and squares are parallelograms. Opposite sides are parallel!

  13. Trapezoid • A trapezoid is any quadrilateral with only one set of parallel sides. Note: Trapezoids cannot be parallelograms It has only one pair of parallel sides!

  14. Kite • Kites are quadrilaterals that have 2 pairs of sides that are adjacent and have equal length. Notes: • The angles are equal where the pairs meet. • Diagonals meet at a right angle One of the diagonal bisects the other. • All squares and rhombuses are kites There are two sets of adjacent sides with equal lengths!

  15. Application • Look at the picture and decide which type of quadrilateral best describes the picture. Rhombus Trapezoid Parallelogram

  16. Good Job! You did a great job of seeing the quadrilateral in the purse! You also saw that it had only one pair of parallel sides, which is the defining characteristic of a trapezoid.

  17. No, but try looking at it now… Notice that it has only one set of parallel sides. Try Again

  18. End of section Good Work!!! You’ve finished the section over types of quadrilaterals! Click the next arrow to proceed to the review quiz over this section, or click the home to return to the main menu.

  19. Quiz over types of quadrilaterals • Here you will see multiple slides with pictures of different quadrilaterals. • Select which type of quadrilateral it is. • If the incorrect answer is selected, you will be asked to try again. • If the correct answer was selected, you will be allowed to move on to the next question.

  20. Quiz over types of quadrilaterals Good luck! Try to relax and take your time on each question. Start Quiz

  21. Question 1 • What type of quadrilateral is this? Square Rectangle Rhombus Trapezoid

  22. Sorry, that’s incorrect… Don’t give up, just try again! Try Again

  23. Correct • A trapezoid has only ONE pair of parallel sides. Genius!!! Next Question

  24. Question 2 • What type of quadrilateral is this? Square Rectangle Rhombus All of the above

  25. Sorry, that’s incorrect… Don’t give up, just try again! Try Again

  26. Correct You got it! • It is a rhombus because it has all equal sides. • It is a rectangle because it has all 90 degree angles. • It is a square because it has all equal sides and all 90 degree angles. Note: It could also be called a parallelogram because it has two sets of parallel sides. Next Question

  27. Question 3 • What type of quadrilateral is this? Square Rectangle Rhombus Kite

  28. Sorry, that’s incorrect… Don’t give up, just try again! Try Again

  29. Correct • It is a rectangle because it has all 90 degree angles. Note: It can also be called a parallelogram because it has two sets of parallel sides. Phenomenal! Next Question

  30. Question 4 • What type of quadrilateral is this? Kite Rectangle Rhombus Trapezoid Two of the above

  31. Sorry, that’s incorrect… Don’t give up, just try again! Try Again

  32. Correct • It is a rhombus because it has all four sides equal. • It is a kite because it has two sets of adjacent and equal sides. • Note: A rhombus is a special type of kite, and this could also be called a parallelogram because it has two sets of parallel sides. That one was tough. Good work! Next Question

  33. Question 5 • What type of quadrilateral is this? Kite Rectangle Rhombus Trapezoid

  34. Sorry, that’s incorrect… Don’t give up, just try again! Try Again

  35. Correct • A kite has two sets of adjacent and equal sides. Only one more question! Next Question

  36. Question 6 • What type of quadrilateral is this? Rectangle Parallelogram Rhombus Trapezoid

  37. Sorry, that’s incorrect… Don’t give up, just try again! Try Again

  38. Correct • A parallelogram has TWO pairs of parallel sides. You made that look easy! End of Quiz

  39. End of quiz You’ve finished the quiz over this section of the review!!! Click the home to return to the main menu or the arrow to proceed to quadrilateral perimeters and areas. Well Done!!!

  40. What are perimeter and area again? • The perimeter of a quadrilateral is just the sum of its four sides • For a general quadrilateral, we can say P=a+b+c+d • The area of a quadrilateral is the amount of flat space it takes up • Special quadrilaterals can more specific formulas for each of these.

  41. Perimeter and Area of Quadrilaterals We have discussed six different types of quadrilaterals in this class. See if you can remember the formulas for the perimeter and area of each before we review them together. • Rectangles • Rhombuses • Squares • Parallelogram • Trapezoids • Kites When you are ready to begin the review, click the next arrow.

  42. Perimeter and Area of a Rectangle • Perimeter • P=2b+2h • Area • A=b*h

  43. Perimeter and Area of a Rhombus • Perimeter • P=4*s • Area • A=s*h

  44. Perimeter and Area of a Square • Perimeter • P=4*s • Area • A=s*s= s2

  45. Perimeter and Area of Parallelogram • Perimeter • P=2a+2b • Area • A=b*h

  46. Perimeter and Area of a Trapezoid • Perimeter • P=b1+b2+a+c • Area • A= 0.5 (b1+b2)*h

  47. Perimeter and Area of Kite • Perimeter • P=2a+2b • Area • A=0.5*d1*d2

  48. Application • This bookcase used to be standing upright. How has the lean affected the perimeter of the quadrilateral? Increased Perimeter Decreased Perimeter No Change in Perimeter

  49. Good Job! You saw that the bookcase is now a parallelogram. You also realized that the perimeters of a parallelogram and a rectangle with the same length sides are the same! Did you use the formulas? • Rectangle P=2b+2h The height of a rectangle is also equal to the length of it’s side, so h=a. This makes the two formulas are the same. • Parallelogram • P=2b+2a

  50. No, but try looking at it now… The bookcase is a parallelogram, and it was a rectangle. Look at the formulas. • Rectangle P=2b+2h Now notice that the height of a rectangle is also equal to the length of it’s side, so h=a. What happens if you replace the h of the rectangle formula with an a? • Parallelogram • P=2b+2a Try Again

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