Download 8.4 Angles and Arc Measures Intersecting Chords

8.4
Name (print first and last) _____________________________________ Per_____ Date: 3/28 due 3/31
8.4 Circles: Angles and arcs with intersecting chords
Geometry Regents 2013-2014 Ms. Lomac
SLO: I can identify relationships with arc measures and chords and use them to solve problems.
(1)  Use the website link for 8.4 to investigate the relationship between angles formed by intersecting chords and the arcs
they intercept. Complete a sketch for each example. Be sure to label the vertical angles 40 degrees and the intercepted
arcs with possible measures..
Two chords intersect and the pair of vertical angles formed are each 40°. The measures for the intercepted arcs could be:
________ and ________
________ and ________
________ and ________
Write a sentence that summarizes the relationship between the measure of the vertical angles formed by two chords and
the arcs intercepted by them. Include a labeled diagram and an equation showing the relationship.
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(2)  For a-c, find the unkown arc or angle measure. *** Highlighting arcs and angles can be helpful.
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8.4
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