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Geometry Last Class Semester 2 Review 26 May 2016 26 May 2016 Agenda ● Preparing for examinations ○ Checklists ○ Write your own problems ○ Practice, practice, practice ○ Need to be active and thinking hard ○ Do NOT - “Look over anything” ● Video Project ● Preparing for Geometry Final Geometry Topic Checklist 1. Circles a. Thales’ theorem Vocabulary Circle Radius Diameter Circumference Right angle Isosceles triangle Geometry Topic Checklist 1. Circles a. Thales’ theorem b. Pythagorean theorem Vocabulary Geometry Topic Checklist 1. Circles a. Thales’ theorem and its converse b. Pythagorean theorem c. Point equidistant from 2 or 3 points Chord Concentric circles Secant Tangent Arc Inscribed angle Intercepted arc Circles e) The perpendicular bisector of a chord bisects the central angle formed by the radii drawn to the endpoints of the chord f) centers of rotation g) construct circumcenter of 3 Non-colinear points Vocabulary Circumcenter equidistant 1 Circles cont. h) If a diameter of a circle bisects a chord, then it must be perpendicular to the chord. And If a diameter of a circle is perpendicular to a chord, then it bisects the chord. 1 Circles cont. i) If 2 chords are congruent, then the center is equidistant from the 2 chords . If the center is equidistant from 2 chords, then the 2 chords are congruent. j) Congruent chords define central angles equal in measure. If 2 chords define central angles equal in measure, then they are congruent. 1 Circles cont. k) Quadrilateral inscribed in a circle - opposite pairs of internal angles are supplementary. l) Inscribed angle theorem: The measure of a central angle is twice the measure of any inscribed angle that intercepts the same arc as the central angle. Consequence: Inscribed angles that intercept the same arc are equal in measure. 1 Circles cont. m) All circles are similar - circle dilations n) radius, area, circumference, perimeter o) measure of arcs in degrees p) congruent chords have congruent arcs and congruent arcs have congruent chords. q) arcs between parallel chords are congruent Etc. etc. etc.(continue through your notes and worksheets). 26 May 2016 Agenda ● Preparing for examinations ○ Checklists ○ Write your own problems ○ Practice, practice, practice ○ Need to be active and thinking hard ○ Do NOT - “Look over anything” ● Video Project ● Preparing for Geometry Final