Secants, Tangents, Chords

Presentation

•

Mathematics

•

10th Grade

•

Practice Problem

•

Hard

Samuel Hudson

Used 1+ times

FREE Resource

7 Slides • 9 Questions

Multiple Choice

If m∠LNM = 280°, what is the value of y in the circle diagram?

160

140

Open Ended

Why is it important to understand the properties of angles and arcs in circles when solving geometric problems?

Type response here

Multiple Choice

According to Theorem 10.11, what is the measure of an angle formed by a tangent and a chord intersecting at a point on a circle?

It is equal to the measure of the intercepted arc

It is half the measure of the intercepted arc

It is twice the measure of the intercepted arc

It is equal to the sum of the intercepted arcs

Multiple Choice

How do you find the measure of an angle formed by two chords intersecting inside a circle, according to Theorem 10.12?

It is half the sum of the measures of the intercepted arcs

It is equal to the measure of one intercepted arc

It is half the difference of the measures of the intercepted arcs

It is twice the measure of the intercepted arcs

Fill in the Blanks

Type answer...

Open Ended

Explain the difference between the formulas for angles formed inside the circle and outside the circle by chords, tangents, or secants.

Type response here

Multiple Select

Which of the following are necessary to find the value of x in the problem where two secants intersect outside the circle?

The measures of both intercepted arcs

The measure of the angle formed

The radius of the circle

The length of the secants

Fill in the Blanks

Type answer...

Open Ended

Reflecting on today's lesson about circles and their angles, what is one concept you found most interesting or challenging?

Type response here

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