University:
Felician University
Course:
MATH-231 | Geometry I
Academic year:

2020
Views:

265

Pages:

4
Author:

SpaceCadet101

Chords and Arcs • Objective: Кпоw the vocabulary of Chords апd Arcs Кпоw congruent chords have congrueпt arcs Know congruent arcs have congruent central •✓ ·,:_:,�,jf)�:�:\ongruent chords are equidistant from the center of the circle Know а diameter (or piece of а diameter) perpendicular (forms а 90 ° angle) to а chord . Ьisects the chord. .. ,,; -t�.,,• CHORDS о А chord is а segment found in а circle whose endpoints are located on the edge of the circle • А diameter is а chord that passes through the center of а circle Chord Diameter chord of а circle PROPERTIES OF CHORDS о Coлgrнent chords have congrueнt arcs and Central Aлgles о Cong1·ue11t ar·cs have coпgruent central angles г' Д.r3> � t:.D о Cl1ords that are eqнidistant fro1n the center of the circle are congruent о Congrнent chords are equidistant from the center of the circle Example: Solve for х 1 . , 10 2-х. -f \ s. 'ix -:::- / Ч у._ + l ::=. + 1 1 Example: Solve for х PROPERTIES OF CHORDS (CONTINUED) о Example: Solve for х, у, and z D f:E_c.A.u,�� с...�..ле..д t..- /Ч, ' L-� ,-л&А�IЯ.� :::" A.rz. с.,, tfY\E; • ,,;Q..G - '/. = ::;.. 3 о .,, /-..� ?1 t,J с..с. Г" ;....rь --r-�\J - ,.,,..._ /\..,, -- CD """" GD PROPERTIES OF CHORDS (CONTINUED) о If а diameter (or piece of а diamete1-) is perpendicul��=�--...::90 ° angle) to а cho1·d, then е сЬ01·d. (cuts it in hal it bise о If а diameter (or piece of а diameter) bisects а chord, then it is pe1·pendicular to the cho1·d. о The perpendicular bisector of а chord also passes through the center of the circle Example: Solve for х i'--1r \ С::;? = -- \ '} 2- 'f._ 7--� (о ч 7_' PROPERTIES OF CHORDS (CONТINUED) Exa111ple: Solve fог х )<. 1,-.:::: �о(р 1 J ,._ Е-\<-�1 -1 s,�pцfic-D х;:: � tf{) Х::: �t у._ -:_::Гз4t_J �',,.J;f,i/