Download Geometry Last Class

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