Central Angles Answers

Which figure shows a line tangent to the circle?

We know that central angles are congruent, because it is given. We can say that segments AO, CO, BO, and DO are congruent because . Then by the congruency theorem, we know that triangle AOC is congruent to triangle BOD. Finally, we can conclude that chord AC is congruent to chord BD because .

We know that central angles are congruent, because it is given. We can say that segments AO, CO, BO, and DO are congruent because . Then by the congruency theorem, we know that triangle AOC is congruent to triangle BOD. Finally, we can conclude that chord AC is congruent to chord BD because .

We know that central angles are congruent, because it is given. We can say that segments AO, CO, BO, and DO are congruent because . Then by the congruency theorem, we know that triangle AOC is congruent to triangle BOD. Finally, we can conclude that chord AC is congruent to chord BD because .

Complete the missing parts of the paragraph proof.

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We know that central angles are congruent, because it is given. We can say that segments AO, CO, BO, and DO are congruent because . Then by the congruency theorem, we know that triangle AOC is congruent to triangle BOD. Finally, we can conclude that chord AC is congruent to chord BD because .

Given , ⊙A ≅ ⊙V, what congruency statements can you make? Check all that apply.

Move point B to various locations on the circle, and measure the angles that are formed.Make a conjecture. What relationship exists between the radius and tangent?The angles formed by the intersection of the radius and tangent are right angles.The angles formed by the intersection of the radius and tangent measure 90°.The tangent is perpendicular to the radius.