Determine the value of x and y.

x = 6 4 ∘ x=64^{\circ\ } x = 6 4 ∘ and y = 4 y=4 y = 4

x = 4 x=4 x = 4 and y = 6 4 ∘ y=64^{\circ} y = 6 4 ∘

x = 11 6 ∘ x=116^{\circ} x = 1 1 6 ∘ and y = 4 y=4 y = 4

29 6 ∘ 296^{\circ} 2 9 6 ∘ and y=4 y = 4

Use the diagram of Circle A for the following question. If B E ‾ ≅ C D ‾ \overline{BE}\cong\overline{CD} B E ≅ C D , then what can you determine about the arc measures? (Hint: Use Chord Theorem #1)

m e a s u r e o f a r c B E ≅ m e a s u r e o f a r c C D measure\ of\ arc\ BE\cong measure\ of\ arc\ CD m e a s u r e o f a r c B E ≅ m e a s u r e o f a r c C D

m e a s u r e o f a r c B E + m e a s u r e o f a r c C D = 36 0 ∘ measure\ of\ arc\ BE\ +\ measure\ of\ arc\ CD=\ 360^{\circ} m e a s u r e o f a r c B E + m e a s u r e o f a r c C D = 3 6 0 ∘

m e a s u r e o f a r c B C ≅ m e a s u r e o f a r c E D measure\ of\ arc\ BC\cong measure\ of\ arc\ ED m e a s u r e o f a r c B C ≅ m e a s u r e o f a r c E D

In a circle, if a diameter is is perpendicular to a chord, then:

it bisects BOTH the chord and its arc

it bisects the corresponding arc

none of these answers are correct

Properties of Chords

Quiz

•

Mathematics

•

10th - 12th Grade

•

Practice Problem

•

Medium

•

CCSS

HSG.C.A.2, HSG.C.B.5

Standards-aligned

David Buchanan

Used 149+ times

FREE Resource

Tags

CCSS.HSG.C.A.2

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