ARCS and chords.pptx Mathematics garde 10 lesson about circles. This is the lesson about the relationship of arcs and the chords, arcsn and central angles and many more about circles.

ACTIVITY 1. ALL ABOUT CIRCLES!
DIRECTIONS: MATCH EACH DESCRIPTION FROM THE
FIRST COLUMN WITH THE BEST TERM FROM THE
SECOND COLUMN. (SOME TERMS IN THE SECOND
COLUMN MAYBE USED MORE THAN ONCE).
B
F
E
A
D
A
C
A

THEOREM 1. IN THE SAME CIRCLE OR IN
CONGRUENT CIRCLES:
CONGRUENT ARCS HAVE CONGRUENT CHORDS.
CONGRUENT CHORDS HAVE CONGRUENT ARCS

Find 𝑆𝐶 .
𝑆𝐶 = 𝑇𝑂 .

THEOREM 2. A DIAMETER OR A RADIUS IS
PERPENDICULAR TO A CHORD, AND THEN IT
BISECTS THE CHORD AND ITS ARC WITH THE
SAME ENDPOINTS.

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ACTIVITY 3. FIND AND FIX
IT…
GROUPWORK

DIRECTIONS: PUT A CHECK () MARK IN THE BOX IF
THE STATEMENT IS RIGHT AND (X) MARK IF IT IS NOT.
1. Congruent arcs in the same circle, have congruent chords.
2. Two circles are congruent if their radii are congruent.
3. A diameter is the longest chord in a circle.
4. In the same circle, congruent chords have congruent arcs.
5. Arc is a part of a circumference of a circle.
6. A chord is an arc which endpoints are on a given circle.
7-10. refer to the figure at the right.
7. If 𝑷𝑨= 𝟏𝟗 𝒄𝒎, then length of 𝑷𝑴 = 𝟑𝟖𝒄𝒎.
8. 𝑺𝑻 is a diameter of the circle.
9. 𝑷𝑴 ≇ 𝑴𝑨
10. segment ST is a bisector or arc AP.
11. When the diameter is drawn in a circle, the chord is bisected.
12. Congruent chords in congruent circles have congruent arcs.
13. A chord can be a radius
14. When a diameter is drawn in a circle and is perpendicular to a chord, the arc
of the chord is bisected.
15. All diameters are chords, but not all chords are diameters.

ARCS AND CENTRAL
ANGLES
Lesson 3

Find the
measure of arc
CR and arc LO.
x
˚
75˚

Statement Always Sometimes Never
1. The measure of minor arc is
less than 180 degrees.
2. The vertex of the central angle
is on the center of the circle.
3. If a central angle is obtuse, its
corresponding arc is a major arc.
4. The sum of the measures of
the central angle is 180 degrees.
5. The vertex of the inscribed
angle is on the circle.
6. The major arc measures
greater than 180 degrees.

7. Semicircle is named using two
endpoints on the arc.
8. The major arc is named using
two endpoints on the arc.
9. All measures in angles and arcs
are in degrees.
10. Circles are congruent if there
radii have the same measures.
11. Congruent arcs are arcs on the
same circle or congruent circles
with the same measures.
12. The measure of the arc formed
by two opposite arcs is the sum of
the measures of their two arcs.

MULTIPLE CHOICE
DIRECTIONS. READ EACH ITEM CAREFULLY. CHOOSE THE
LETTER OF THE CORRECT ANSWER.
1. What do you call that arc that is always equal to half of the circle’s
circumference?
 A. intercepted arc B. minor arc C. major arc D. semicircle
2. It is an arc that is equal to 360° minus the measure of the minor
arc or central angle.
 A. intercepted arc B. minor arc C. major arc D. semicircle
3. If the measure of the minor arc is 86°, then what would be the
measure of the major arc?
 86o B. 274o C. 108o D. 300o
4. The measure of an arc is ____ to the measure of the central angle that
intercepts it.
 A. Equal B. not equal C. one-half D. twice

ARCS AND
INSCRIBED ANGLES
LESSON 4

ACTIVITY 3. FUN WITH
CIRCLES
GROUPWORK

ARCS and chords.pptx Mathematics garde 10 lesson about circles. This is the lesson about the relationship of arcs and the chords, arcsn and central angles and many more about circles.

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