CSC 161 Fall 2025 - Homework 12 (10 pts. total)
due Tue Nov 25

Answer each of the 2 questions below in its own GeoGebra file:
[5 pts.] Question 1. [For this question, use the filename hw12-question1-LastName.ggb, where LastName is replaced by your last name.]
Use the following steps to construct a square on GeoGebra:
  • 1. Draw the segment a = AB between points A and B.
  • 2. Construct a perpendicular line b to segment AB through point B.
  • 3. Construct a circle c with center B through point A.
  • 4. Intersect the perpendicular line b with the circle c to get the intersection points C and D.
  • 5. Construct a perpendicular line d to segment AB through point A.
  • 6. Construct a circle e with center A through point B.
  • 7. Intersect the perpendicular line d with the circle e to get the intersection points E and F.
  • 8. Create the polygon ABCE. Hint: Don't forget to close the polygon by clicking on point A again.
  • 9. Hide circles and perpendicular lines.

    [5 pts.] Question 2. [For this question, use the filename hw12-question2-LastName.ggb, where LastName is replaced by your last name.]
    a) To construct a right triangle inscribed in a circle in GeoGebra using commands:
  • 1. Create point A at (-5,0).
  • 2. Create point B at (5,0).
  • 3. Type Semicircle(A,B) to draw a semicircle whose diameter has endpoints A and B.
  • 4. Type C = point(c) to place a point on the semicircle.
  • 5. Move this point around to show it can be anywhere on the semicircle.
  • 6. Type Polygon(A,B,C) to create triangle ABC.
  • 7. Type InteriorAngles(t1) to display the triangle's interior angle measures.
    b) In a GeoGebra textbox, write 1 or 2 full sentences to explain why this construction is consistent with the rule that "the measure of an inscribed angle in a circle is one-half the measure of its intercepted arc".


    Last Modified: 11/16/25