Question

Is segment CE tangent to circle D? Why or why not?

A) No; Pythagorean theorem does not hold true, so it's not a right angle. Therefore, the segment is not tangent by the converse of the Perpendicular Tangent Theorem.
B) Yes, the Pythagorean Theorem holds true, so it is a right angle. Therefore, the segment is a tangent by the converse of the Perpendicular Tangent Theorem.
C) Yes, this looks like a right triangle. Therefore, the segment is a tangent by the converse of the Perpendicular Tangent Theorem.
D) No; this doesn't look like a right triangle. Therefore, the segment is not tangent by the converse of the Perpendicular Tangent Theorem

Answer 1

The segment CE is not tangent to circle D because the Pythagorean theorem does not hold true, so it's not a right angle.

Step-by-step explanation:

The correct answer is A) No; Pythagorean theorem does not hold true, so it's not a right angle. Therefore, the segment is not tangent by the converse of the Perpendicular Tangent Theorem.

To determine if segment CE is tangent to circle D, we need to check if CE forms a right angle with the radius of the circle at the point of tangency. According to the Pythagorean theorem, if CE is tangent to circle D, then CE, the radius of the circle, and CE's perpendicular line will form a right triangle. However, if the Pythagorean theorem does not hold true for these three lines, then CE is not tangent to circle D.

Therefore, the correct answer is A) No; Pythagorean theorem does not hold true, so it's not a right angle. Therefore, the segment is not tangent by the converse of the Perpendicular Tangent Theorem.