Intersecting Chord Theorem Concepts

Intersecting Chord Theorem Concepts

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Thomas White

FREE Resource

The video tutorial explains the intersecting chord theorem, which states that the product of the segments of one chord equals the product of the segments of another chord intersecting it. The teacher provides an informal proof by demonstrating the congruence of angles in two triangles formed by the intersecting chords. These congruent angles lead to the conclusion that the triangles are similar, allowing the use of proportional relationships between corresponding side lengths to prove the theorem. The video concludes by affirming the theorem's validity regardless of chord placement.

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15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the intersecting chord theorem state about the products of the segments of two intersecting chords?

The products are always different.

The products are always equal.

The products are always negative.

The products are always zero.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What geometric shape is formed when you connect two points on a chord?

A square

A triangle

A circle

A rectangle

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why are the angles formed by intersecting lines congruent?

Because they are inscribed angles

Because they are vertical angles

Because they are supplementary angles

Because they are complementary angles

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do vertical angles contribute to the proof of the intersecting chord theorem?

They are always equal to 180 degrees.

They help establish congruency between angles.

They are used to calculate the diameter of the circle.

They determine the length of the arc.

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What type of angles are congruent when they subtend the same arc?

Supplementary angles

Complementary angles

Inscribed angles

Vertical angles

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the role of inscribed angles in the intersecting chord theorem?

They are always equal to 90 degrees.

They help establish congruency between angles.

They are used to calculate the radius of the circle.

They determine the length of the chord.

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result when two angles subtend the same arc?

The angles are different.

The angles are congruent.

The angles are supplementary.

The angles are complementary.

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