Section 10.2 March 10, 2015 Section 10.2 Grade: «grade» Subject: «subject» Date: «date» Section 10.2 March 10, 2015 Section 10.2 1 Answer? March 10, 2015 Section 10.2 March 10, 2015 Arc and Central Angle Investigation 1. Draw circle A using the circle button on the left. Using the point on circle command, place point C on your circle and draw in angle BAC. Measu 2. Highlight points B and C and the circle, and under measure choose Arc Angle. What do you notice? 3. Move point C around. What is your conjecture about the relationship between the central angle measure and the measure of its intercepted ar Section 10.2 March 10, 2015 Section 10.2 March 10, 2015 2 Answer? A Major Arc - 238º B Minor Arc - 122º C Semi Circle - 180º Section 10.2 March 10, 2015 Section 10.2 March 10, 2015 Section 10.2 3 Answer? March 10, 2015 Section 10.2 4 Answer? March 10, 2015 Section 10.2 March 10, 2015 Length of an Arc = Section 10.2 March 10, 2015 Section 10.2 5 Answer (rounded to nearest hundreth)? March 10, 2015 Section 10.2 March 10, 2015 Section 10.3 Grade: «grade» Subject: «subject» Date: «date» Section 10.2 March 10, 2015 Congruent Chord Activity 1. Draw circle A and using the Point on Circle command, place point C, D, and E on the circle. Construct segments BC and DE and measure their lengths. Drag the segments until their measurements are equal. 2. Measure the arc angles of their intercepted arcs. What do you notice? 3. What is your conjecture about the arc measures of congruent chords? Section 10.2 March 10, 2015 Section 10.2 1 Answer? March 10, 2015 Section 10.2 March 10, 2015 Radii and Chords Investigation Radii & Chords Inv.doc Section 10.2 If a line or segment goes through the center of a circle and bisects the chord and/or its arc, then it is perpendicular to the chord. March 10, 2015 Section 10.2 2 Answer? March 10, 2015 Section 10.2 3 Answer? March 10, 2015 Section 10.2 March 10, 2015 Congruent Chords and Distance Section 10.2 March 10, 2015 Section 10.2 March 10, 2015 4 Answer AC? Section 10.2 5 Answer DE? March 10, 2015