IM Geo.7.2 Lesson: Inscribed Angles
What do you notice? What do you wonder?
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[/img]
Use the applet to answer the questions. Do not show the angle measures until you are told to.
Name the central angle in this figure.[br]
Name the [b]inscribed angle [/b]in this figure.[br]
Move point [math]B[/math] around the circle. As you move this point, what happens to the measure of angle [math]QBC[/math]? Show the angle measures to confirm.[br]
Move points [math]C,Q,[/math] and [math]B[/math] to new positions. Record the measure of angles [math]QAC[/math] and [math]QBC[/math]. Repeat this several times.[br]
Make a conjecture about the relationship between an inscribed angle and the central angle that defines the same arc.[br]
Here is a special case of an inscribed angle where one of the chords that defines the inscribed angle goes through the center.
The central angle [math]DCF[/math] measures [math]\theta[/math] degrees, and the inscribed angle [math]DEF[/math] measures [math]\alpha[/math] degrees. Prove that [math]\alpha=\frac{1}{2}\theta[/math].[br]
The image shows a circle with chords CD, CB, ED, and EB. The highlighted arc from point C to point E measures 100 degrees. The highlighted arc from point D to point B measures 140 degrees.
[size=150]Prove that triangles [math]CFD[/math] and [math]EFB[/math] are similar.[/size][br]
IM Geo.7.2 Practice: Inscribed Angles
The measure of angle AOB is 56 degrees.
What is the measure of angle [math]ACB[/math]?
[size=150]Explain the difference between central and inscribed angles. [/size]
[size=150]What is the measure of the arc from [math]A[/math] to [math]B[/math] that does not pass through [math]C[/math]?[/size][br][img]data:image/png;base64,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[/img]
[size=150]Find the values of [math]x[/math], [math]y[/math], and [math]z[/math].[/size][br][img]data:image/png;base64,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[/img]
Match the vocabulary term with the label.
[img]data:image/png;base64,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[/img][br]chord that is not a diameter
diameter
radius
central angle
[size=150]T[/size][size=150]riangle [math]ABC[/math] has vertices at [math]\left(-4,0\right),\left(-2,12\right)[/math] and [math]\left(12,0\right)[/math]. What is the point of intersection of its medians?[/size]
[size=150]The rule [math]\left(x,y\right)\rightarrow\left(y,-x\right)[/math] takes a line to a perpendicular line. Select another rule that takes a line to a perpendicular line. [/size]