These web-based activities were developed, during summer sessions from 1997 through 1999, by students at Mainland High School, located in Daytona Beach, FL. As part of Mainland's CCTT grant, the students were given permission by the book's publisher to convert the ancillary materials of the County's adopted Algebra 1 Textbook (Glencoe Algebra 1 - ISBN: 9780028253282) into html format.

 

title.gif

1.gifPlot and label each point on the coordinate system below: A(2, 3); B(4, 7); C(12, 8); D(10, 4). Connect A to B, B to C, C to D, and D to A to form a quadrilateral.

What type of quadrilateral does this appear to be?

2.gif  Use the slope formula

m = ( y2 - y1 ) / (x2 - x1 )

  to find the slope of each segment.

lines.gif

graph.gif

3.gifDo the results confirm your answer to question 1? Explain why or why not.

4.gifPlot and label each point on the following coordinate system: A(1, 3); B(4, 7); C(9, 7); D(6, 3). Connect the points in the same order as in the first drawing.

What type of quadrilateral does this appear to be?

5.gifUse the distance formula,

  square root.gif

  to find the length of each segment.

lines.gif

graph.gif

6.gifDo the results confirm your answer to question 4? Explain why or why not.__________

7.gifDraw the diagonals ABCD. Use the slope formula to find the slope of each diagonal.

ACBD.gif (670 bytes)

8.gifWhat do you think is true about the diagonals of this quadrilateral? __________

9.gifOn a separate sheet of graph paper, plot and label each point: A (3, 2); B (2, 5); C (8, 7); D (9,4). Draw the quadrilateral that is formed. Draw the diagonals.

What type of quadrilateral does this appear to be? __________

10.gifUse the slope and distance formulas to find information about the sides and diagonals of the quadrilateral created in number 9. Show your work on your graph paper.

What can you now conclude about the type of quadrilateral that ABCD is? __________

 

 

Copyright 1997-1999: html adaptation
Career Connection to Teaching with Technology