
Cycle 2 Day 1 Mathematics 10
Presentation
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Mathematics
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10th Grade
•
Practice Problem
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Medium
+1
Standards-aligned
EMMANUEL GONZAGA
Used 1+ times
FREE Resource
23 Slides • 21 Questions
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Multiple Choice
According to Theorem 3.2, what is the significance of the perpendicular segment from the center to a chord in a circle?
It bisects the chord.
It is always the longest segment in the circle.
It passes through the midpoint of the circle.
It is equal to the radius of the circle.
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Open Ended
Explain why a segment from the center of a circle that is perpendicular to a chord becomes a perpendicular bisector of that chord.
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Multiple Choice
According to Theorem 3.2, what is the relationship between congruent chords and their distance from the center of a circle?
Congruent chords are equidistant from the center
Congruent chords are closer to the circumference
Congruent chords are always perpendicular to the radius
Congruent chords are equal in length but not equidistant
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Multiple Choice
In Circle O, if AB and CD are congruent chords, which of the following statements must be true?
OX = OY
OX > OY
OX < OY
OX + OY = radius
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Multiple Choice
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Fill in the Blanks
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Multiple Choice
Which of the following statements is a direct consequence of Theorem 3.2B?
Chords equidistant from the center are congruent
Chords perpendicular to the radius are always equal
All chords in a circle are congruent
Chords passing through the center are always the longest
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Multiple Choice
According to Theorem 3.2B, if the distances from the center to two chords in a circle are equal, what can be said about the chords?
The chords are congruent.
The chords are perpendicular.
The chords are parallel.
The chords are bisected by the center.
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Multiple Choice
Why can't we conclude that AB = ED even if AC = FD in the given circle diagram?
Because AB and ED are not necessarily congruent if AC and FD are congruent.
Because AB and ED are diameters.
Because AB and ED are radii.
Because AB and ED are perpendicular.
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Multiple Choice
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Multiple Choice
Which of the following statements about perpendicular lines and bisectors is correct?
Perpendicular lines form a right angle and bisectors divide a segment into two congruent parts.
Perpendicular lines divide a segment into two congruent parts.
Bisectors form a right angle.
Perpendicular lines and bisectors are always parallel.
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Fill in the Blanks
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Open Ended
Explain how the concept of congruent arcs relates to congruent chords in a circle. Use theorems discussed in the lesson to support your answer.
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Multiple Choice
If two chords in a circle are congruent, what does Theorem 3.3 state about their corresponding arcs?
Their corresponding arcs are also congruent.
Their corresponding arcs are bisected.
Their corresponding arcs are perpendicular.
Their corresponding arcs are equal to the diameter.
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Multiple Choice
Which theorem states that if two chords of a circle are congruent, then their corresponding arcs are also congruent?
Theorem 3.1
Theorem 3.2
Theorem 3.3
Theorem 3.4
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Multiple Choice
Given that FG ≅ HJ and mFG = 70, what is the value of x in the circle shown?
70
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140
90
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Fill in the Blanks
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Fill in the Blanks
Type answer...
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Multiple Choice
What is the length of segment RS?
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82
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Multiple Select
Which of the following statements are true about radii and chords in a circle?
All radii in a circle have the same length.
Congruent chords have congruent arcs.
The sum of the angles in a triangle is 180 degrees.
All chords in a circle are equal.
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Fill in the Blanks
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