Formative Chord Tangent Investigation
Click on "Show chord
" and "Show Tangent ".Where is the vertex of a CHORD - TANGENT angle?
Click on "Show
arc ().Describe
location.Click on "Show m
".What is the chord-tangent angle measure to arc measure relationship.
m chord - tangent
mm
m chord-tangentm
=m
If m
, then mRelationship between a Diameter (Radius) and a Tangent drawn to a Circle
A tangent intersects a circle's diameter (radius) forming a
A diameter (radius) is
Formative Chord Chord Investigation
Click on "Highlight in red
".Where is the vertex of a CHORD - CHORD angle?
Click on "Highlight in red
", "Highlight in purple vert. angle pair ()", and "Highlight in purpleCompare the m
and m.Click on "Show m
".What is the chord-chord angle measure to arc measureS relationship.
m chord - chord
the of its arcSFind the measure of an angle formed by two chords that intersect in a
circle that intersects arcs whose measures are
and .Formative Secant Secant Investigation (Note: For angles outside the circle we will use Secant Secant as our primary example - same formula for Secant Tangent and Tangent Tangent)
Click on "Show Secant
" and "Show secant .Where is the vertex of a SECANT-SECANT angle?
Click on "Show
" and "Show ".Compare the m
and m.Click on "Show m
".What is the Secant-Secant angle measure to arc measureS relationship.
m secant-secant
the of its arcSFormative Secant Secant investigation Formative Secant-Tangent Investigation
Formative Tangent-Tangent Investigation
Find the measure of the angle formed by two tangents drawn to a circle
from the same external point if they intercept a minor arc of 80°.
Find the measure of an angle formed by a tangent and a secant drawn
to a circle from the same external point that intersects arcs whose measures
are 40° and 100°.
Find the measure of an angle formed by two tangents drawn to a circle
from the same point which intercepts a major arc of 230°.
In the diagram below of circle O, chords
and intersect at E, m, and m.Find m
m
m
Which formula would you use to find m
?m
Which formula would you use to find
?m
Which formula would you use to find m
?m
Which formula would you use to find m
?Which formula would you use to find m
?Which formula would you use to find m
?Which formula would you use to find m
?m
Which formula would you use to find
?Which formula would you use to find the measure of major
?Which formula would you use to find the m
?m
Which formula would you use to find the
?Which formula would you use to find the m
?m
**Note: m
.Click on "Highlight in red
", "Highlight in purple vert. angle pair ()", and "Highlight in purpleCompare the m
and m.
