4-19-24 Investigating Properties of Parallelograms
Parallelogram A
For Parallelogram A, measure all sides and angles.
Measuring Side-Lengths: Select the "Distance or Length Tool"
, then measure the distance of each side. To measure side AB as an example, select 
, then click on point A followed by point B.
Measuring Angles:
Select the "Angle" tool 
, then measure all four interior angles. In order to measure each angle, you must select the three points that form the angle. As an example, in order to measure the angle found at vertex C, you are really measuring angle DCB. To measure angle DCB, select 
, then click on point D, followed by point C and followed by point B.
*Note that in GeoGebra you must select the points in a clockwise order; even though it would be accurate to also define the angle as angle BCD.
, then measure the distance of each side. To measure side AB as an example, select , then click on point A followed by point B.
Measuring Angles:
Select the "Angle" tool , then measure all four interior angles. In order to measure each angle, you must select the three points that form the angle. As an example, in order to measure the angle found at vertex C, you are really measuring angle DCB. To measure angle DCB, select , then click on point D, followed by point C and followed by point B.
*Note that in GeoGebra you must select the points in a clockwise order; even though it would be accurate to also define the angle as angle BCD.
Parallelogram B
For Parallelogram B, measure the distance of each diagonal, and the distances from each vertex to the point at which the diagonals meet (point E).
Measuring the Diagonals: Measure diagonal AC using the "Distance or Length Tool" . Measure diagonal BD as well.
Measuring the distance from each vertex to point E: Using the "Distance or Length Tool" , measure the distance from A to E, and from C to E. Repeat this process for diagonal BD (B to E and D to E).
. Measure diagonal BD as well.
Measuring the distance from each vertex to point E: Using the "Distance or Length Tool" , measure the distance from A to E, and from C to E. Repeat this process for diagonal BD (B to E and D to E).Rhombus A
For Rhombus A, measure all sides and angles.
Measuring Side-Lengths: Select the "Distance or Length Tool", then measure the distance of each side. Measuring Angles: Select the "Angle" tool , then measure all four interior angles. *See directions for Parallelogram A for helpful hints
, then measure the distance of each side. Measuring Angles: Select the "Angle" tool , then measure all four interior angles. *See directions for Parallelogram A for helpful hintsRhombus B
For Rhombus B, measure the distance of each diagonal, and the distances from each vertex to the point at which the diagonals meet (point E). Finally, measure the angle formed by the intersection of the two diagonals.
Measuring the Diagonals: Measure diagonal AC using the "Distance or Length Tool" . Measure diagonal BD as well.
Measuring the distance from each vertex to point E: Using the "Distance or Length Tool" , measure the distance from A to E, and from C to E. Repeat this process for diagonal BD (B to E and D to E).
Measuring the angle at which the diagonals meet: Select the "Angle" tool , then click on points D, E and A in that order. Repeat this process for the rest of the angles formed by the two intersecting diagonals.
. Measure diagonal BD as well.
Measuring the distance from each vertex to point E: Using the "Distance or Length Tool" , measure the distance from A to E, and from C to E. Repeat this process for diagonal BD (B to E and D to E).
Measuring the angle at which the diagonals meet: Select the "Angle" tool , then click on points D, E and A in that order. Repeat this process for the rest of the angles formed by the two intersecting diagonals. Rectangle A
For Rectangle A, measure all sides and angles.
Measuring Side-Lengths: Select the "Distance or Length Tool", then measure the distance of each side. Measuring Angles: Select the "Angle" tool , then measure all four interior angles.
*See directions for Parallelogram A for helpful hints
, then measure the distance of each side. Measuring Angles: Select the "Angle" tool , then measure all four interior angles.
*See directions for Parallelogram A for helpful hintsRectangle B
For Rectangle B, measure the distance of each diagonal, and the distances from each vertex to the point at which the diagonals meet (point E).
Measuring the Diagonals: Measure diagonal AC using the "Distance or Length Tool" . Measure diagonal BD as well.
Measuring the distance from each vertex to point E: Using the "Distance or Length Tool" , measure the distance from A to E, and from C to E. Repeat this process for diagonal BD (B to E and D to E).
. Measure diagonal BD as well.
Measuring the distance from each vertex to point E: Using the "Distance or Length Tool" , measure the distance from A to E, and from C to E. Repeat this process for diagonal BD (B to E and D to E).Square A
For Square A, measure all sides and angles.
Measuring Side-Lengths: Select the "Distance or Length Tool", then measure the distance of each side.
Measuring Angles: Select the "Angle" tool , then measure all four interior angles.
*See directions for Parallelogram A for helpful hints
, then measure the distance of each side.
Measuring Angles: Select the "Angle" tool , then measure all four interior angles.
*See directions for Parallelogram A for helpful hintsSquare B
For Square B, measure the distance of each diagonal, and the distances from each vertex to the point at which the diagonals meet (point E). Finally, measure the angle formed by the intersection of the two diagonals.
Measuring the Diagonals: Measure diagonal AC using the "Distance or Length Tool" . Measure diagonal BD as well.
Measuring the distance from each vertex to point E: Using the "Distance or Length Tool" , measure the distance from A to E, and from C to E. Repeat this process for diagonal BD (B to E and D to E).
Measuring the angle at which the diagonals meet: Select the "Angle" tool , then click on points D, E and A in that order. Repeat this process for the rest of the angles formed by the two intersecting diagonals.
. Measure diagonal BD as well.
Measuring the distance from each vertex to point E: Using the "Distance or Length Tool" , measure the distance from A to E, and from C to E. Repeat this process for diagonal BD (B to E and D to E).
Measuring the angle at which the diagonals meet: Select the "Angle" tool , then click on points D, E and A in that order. Repeat this process for the rest of the angles formed by the two intersecting diagonals.