Google Classroom
GeoGebraGeoGebra Classroom

ASA Exploration

Procedure

  1. Move points A, B and C around. Observe what happens.
  2. Move points A' and B' around. Observe what happens. If A' and B' behave differently than A and B, be prepared to describe how.
  3. If at any point the figure on the right shades in, this means you have created a triangle. (Take a screen shot of the two triangles.) Note the measurements of this new triangle and how these measures compare with the corresponding measures of the parts in ∆ABC.
  4. If you are able to form a triangle from the figure on the right, drag it on top of the figure on the left. Rotate it if necessary. See if the two figures can be made to overlap exactly.
  5. Answer the questions below.
  6. Once you check your answers, transfer your screen shots and responses to your OneNote page for this activity. Note: when checking answers the correct response is the highlighted one (disregard the check marks)

After you've moved points A and B of ∆ABC around, reset the sketch by pressing the reset icon in the upper right corner. This takes you back to the starting configuration. Which parts in the starting configuration of the figure on the right are congruent to parts in ∆ABC?

Select all that apply
  • A
  • B
  • C
  • D
  • E
Check my answer (3)

Which of the following statements best describes the parts you listed in the previous answer?

Select all that apply
  • A
  • B
  • C
  • D
Check my answer (3)

When the figure on the right became a triangle, how did the measure of side B'C' compare to the measure of side BC of the first triangle?

Select all that apply
  • A
  • B
  • C
Check my answer (3)

When the figure on the right became a triangle how did the measure of side A'C' compare to the measure of AC?

Select all that apply
  • A
  • B
  • C
Check my answer (3)

When the figure on the right became a triangle how did the measure of angle C' compare to the measure of angle C

Select all that apply
  • A
  • B
  • C
Check my answer (3)

Is ∆A'B'C' congruent to ∆ABC?

Select all that apply
  • A
  • B
Check my answer (3)

Which shortcut do these parts illustrate?

Select all that apply
  • A
  • B
  • C
  • D
Check my answer (3)

Is ASA a valid shortcut for determining two triangles to be congruent?

Select all that apply
  • A
  • B
Check my answer (3)