Exploring Circle Theorems

Forfatter Juhi Mathur, Tim Brzezinski, Brenden, williamgeorgeemeny, dsyddall

Emne:Cirkel

Equal chords are equidistant from the center.

True or False

Equal Chords are equidistant from any point on the circle.

Sæt kryds ved dit svar

A
True
B
False

Tjek mine svar (3)

True / False

Mark/ Write the statement which is not True

Sæt kryds ved dit svar

A
Equal Chords are equidistant from the center
B
Larger of the chords is farther from the center
C
Diameter is the longest chord
D
Longest Chord in a quadrant always subtend an angle of 90 at the center

Tjek mine svar (3)

Extended Response

Prove that Equal chords subtend equal angles at the center of the circle. Click a picture of your hand written proof and paste (jpg/pdf) on the worksheet on MS Teams Assignment Link /Page!

Perpendicular from the center of the circle bisects the chord. Explore the applet by dragging the points.

True or False

Only chords pertaining to Minor Arcs are bisected by the perpendicular from the center of the circle.

Sæt kryds ved dit svar

A
True
B
False

Tjek mine svar (3)

Choose the correct Option

If a line drawn from the center of the circle meets the midpoint of the chord. then

Sæt kryds ved dit svar

A
Line is perpendicular to the chord
B
Line makes an angle of 90 with the chord
C
Line is the shortest distance to the chord
D
All of the above

Tjek mine svar (3)

Angles in the same segment are equal in magnitude

MCQ

Which of the following are true about a circle?

Sæt kryds ved dit svar

A
Angle in a semi circle is always 180
B
Angle on a major arc is acute
C
Angle on a minor arc is obtuse
D
None of the above

Tjek mine svar (3)

Choose the correct option

Angle subtended by a chord in a semi circle is 90

Sæt kryds ved dit svar

A
Always True
B
Never True
C
Only when chord is the diameter
D
Only when chord is perpendicular to the line from the center of the circle

Tjek mine svar (3)

Write down the detailed proof for the subject theorem- Angles in the same segment are equal in measurement. (Paste (jpg/pdf) your response on the One Note link/page

Equal Chords subtend equal angles at the center

Choose the statements that are correct

If two arcs of a circle are equal then:

Sæt kryds ved dit svar

A
Arcs are congruent
B
Subtend equal angles at the center
C
their corresponding chords are equal
D
None of above

Tjek mine svar (3)

Exploring Circle Theorems

Equal chords are equidistant from the center.

True or False

True / False

Extended Response

Perpendicular from the center of the circle bisects the chord. Explore the applet by dragging the points.

True or False

Choose the correct Option

Angles in the same segment are equal in magnitude

MCQ

Choose the correct option

Write down the detailed proof for the subject theorem- Angles in the same segment are equal in measurement. (Paste (jpg/pdf) your response on the One Note link/page

Equal Chords subtend equal angles at the center

Choose the statements that are correct

Angle subtended by the chord at the center is double the angle subtended at the circle.

Reflection

Nye Materialer

Opdag Ressourcer

Udforsk emner