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In the figure below, AC is the diameter of the circle, B is a point on the circle, AB is congruent to BC, and D is the midpoint of AC. What is the degree measure of angle ABD?
- a)30°
- b)45°
- c)60°
- d)90°
- e)Cannot be determined from the given information
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
In the figure below, AC is the diameter of the circle, B is a po...
Since AC is the diameter of the circle, and D is the midpoint of AC, D is the center of the circle. Thus the distance from D to any point on the circle is equal to the radius, r. Since B is a point on the circle, the distance BD is equal to r. Since A is a point on the circle, the distance AD is also equal to r. Further, since AB is congruent to BC, the segment AB is perpendicular to the segment AD, thus the measure of angle ADB is 90°. In the triangle ABD, two sides are equal to r, thus the triangle is isosceles with one of the angles equal to 90°. The other two angles are then equal in measure and add up to 90°. Therefore, angle ABD has a measure of 45°.
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In the figure below, AC is the diameter of the circle, B is a point on the circle, AB is congruent to BC, and D is the midpoint of AC. What is the degree measure of angle ABD?a)30°b)45°c)60°d)90°e)Cannot be determined from the given informationCorrect answer is option 'B'. Can you explain this answer?
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In the figure below, AC is the diameter of the circle, B is a point on the circle, AB is congruent to BC, and D is the midpoint of AC. What is the degree measure of angle ABD?a)30°b)45°c)60°d)90°e)Cannot be determined from the given informationCorrect answer is option 'B'. Can you explain this answer? for ACT 2025 is part of ACT preparation. The Question and answers have been prepared according to the ACT exam syllabus. Information about In the figure below, AC is the diameter of the circle, B is a point on the circle, AB is congruent to BC, and D is the midpoint of AC. What is the degree measure of angle ABD?a)30°b)45°c)60°d)90°e)Cannot be determined from the given informationCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for ACT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In the figure below, AC is the diameter of the circle, B is a point on the circle, AB is congruent to BC, and D is the midpoint of AC. What is the degree measure of angle ABD?a)30°b)45°c)60°d)90°e)Cannot be determined from the given informationCorrect answer is option 'B'. Can you explain this answer?.
In the figure below, AC is the diameter of the circle, B is a point on the circle, AB is congruent to BC, and D is the midpoint of AC. What is the degree measure of angle ABD?a)30°b)45°c)60°d)90°e)Cannot be determined from the given informationCorrect answer is option 'B'. Can you explain this answer? for ACT 2025 is part of ACT preparation. The Question and answers have been prepared according to the ACT exam syllabus. Information about In the figure below, AC is the diameter of the circle, B is a point on the circle, AB is congruent to BC, and D is the midpoint of AC. What is the degree measure of angle ABD?a)30°b)45°c)60°d)90°e)Cannot be determined from the given informationCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for ACT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In the figure below, AC is the diameter of the circle, B is a point on the circle, AB is congruent to BC, and D is the midpoint of AC. What is the degree measure of angle ABD?a)30°b)45°c)60°d)90°e)Cannot be determined from the given informationCorrect answer is option 'B'. Can you explain this answer?.
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