Look at [math]\gamma[/math] and [math]\delta[/math]. What type of angles are they?
Look at [math]\gamma[/math] and [math]\delta[/math]. We determined that the sum of these angles would be [math]180^\circ[/math]. Move around the points on the applet. Is that always, sometimes, or never true?
Look at [math]\alpha[/math] and [math]\beta[/math]. What type of angles are they?
Look at [math]\alpha[/math] and [math]\beta[/math]. We determined that these type of angles would be equal. Move around the points on the applet. Is that always, sometimes, or never true?
Measure a pair of Corresponding Angles using the [icon]/images/ggb/toolbar/mode_angle.png[/icon] tool. Then move around the points using the [icon]/images/ggb/toolbar/mode_move.png[/icon] tool.
Is there anything that jumps out to you that seems to be special about corresponding angles?
Using the [icon]/images/ggb/toolbar/mode_move.png[/icon] tool. Force the Corresponding Angles to be congruent.
Can you force them to be congruent? Would you say that Corresponding Angles are congruent:
Can you force them to be congruent? What does it seem needs to happen in order to make them congruent?
Test our Theory? Construct another line. Find and measure the corresponding angles.
We now have what is needed for a postulate. Write as an "if then" statement what we know about corresponding angles. [br][br]"If you have two corresponding angles..... then..... "