Geometer SketchPad Assignment

For each of the following, create an illustration in Geometer Sketchpad, and state your observations beside each illustration.

Display all measurements required to support your observations.

  1. [App – 4] Create an illustration of the four types of lines associated with triangles. (Median, Altitude, Perpendicular Bisector, Angle Bisector)
  2. Construct an accurate example in each case. Do all of the lines meet at a single point?
  3. Draw a circle with its center where the lines meet in each case. Resize the circle and look for interesting properties.
  1. [App – 2] For each pair of endpoints:
  2. Draw the line segment
  3. Construct the midpoint
  4. Display the coordinates of the midpoint and the lengths of each half of the segment

Set #1  A(3, 4) and B(7, -2)

Set #2  C(2, -9) and D(-3, -1)

  1. [App – 6] Construct each of the following triangles, and classify each as scalene, isosceles, or equilateral. Additionally, identify any right angled triangles. Display all measurements that confirm your classification.
  2. A(2, 4), B(5, -5) and C(-4, 2)
  3. D(7, -8), F(10, -4) and G(-2, 5)
  4. H(-3, 4), I(2, 6) and J(4, 1)
  1. [App – 4] Construct a triangle and its midsegments (a midsegment is a line segment that connects the midpoints of two sides). Measure lengths, slops and areas. Draw conclusions.
  1. [App – 6] Identify and prove the type of shape that the following sets of coordinate points make:
  2. A(-3, 2), B(2, 4), C(6, -1) and D(1, -3)
  3. J(-1, 1), K(3, 4), L(8. 4) and M(4, 1)
  1. [App – 5] A circle is defined by x2 + y2 = 25. On the circumference of the circle lie the points W(-3, 4), X(4, 3), Y(3, -4) and Z(-4, 3).
  2. Draw the circle and plot the points.
  3. Identify the type of quadrilateral joining ABCD.
  4. Determine the coordinates of the vertices of the smallest square that contains the circle x2 + y2 = 25. Draw this square and plot the points as QRST
  5. Draw conclusions regarding the two quadrilaterals WXYZ and QRST. (Measure side lengths, angles, areas, etc. to help you with your conclusions.)

Evaluation:

Total Application / 27

Communication % base on levels

Keep the following in mind when dealing with communication:

  • Organization of assignment when handed in.
  • Clarity of conclusions
  • Measurements / Proof needed displayed clearly.
  • Coordinates are labelled properly (ie. If in question it is J, on your diagram it is J)

Geometer Sketchpad Instructions

As you complete your Geometer Sketchpad Assignment you may find the following useful.

General Information

 Two modes – Selection and Draw

 To Draw, choose Tools from Toolbox (lines, circles, text boxes, etc.)

 Esc ends Draw

 Click on objects to select them or drag a selection rectangle

 Move objects by dragging selected objects

Graphing

Graph Menu Show Axes (to display grid)

 Drag small pink dot to adjust grid

Plotting a Point

 Graph Menu  Plot Point (click plot once coordinate is entered)

Labelling a Point

 Display Menu  Show Label

 double click on the label that appears and change it to whatever you need

Midpoint

 Select the segment

 Construct Menu  Midpoint

Right Angle

 Select a line and a point

 Construct Menu  Perpendicular Line

 Select both lines

 Construct Menu  Intersection

 Select perpendicular line

 Display Menu  Hide Perpendicular Line

 Select Point (that was on perpendicular line) and Intersection Point

 Construct Menu  Line Segment

Parallel Line

 Same as above except Construct Menu  Parallel Line

Displaying Measurements

 Select Object

 Measure Menu (will display possible measurements)

Measuring Angles

 Select three points that form the angle

Tip – the middle point selected is the angle that will be measured!!

 Measure Menu  Angle

Printing

 Choose File Menu  Print Preview Before Printing

 Click on Fit to Page button

 Click Print button