Question

Help would very much be appreciated

Which statement(s) are true about inscribed angles?
Statement 1: The vertex of an inscribed angle lies on the circle.
Statement 2: The sides of an inscribed angle are tangent lines to the circle.
Statement 3: The sides of an inscribed angle are chords of a circle.
Statement 4: The vertex of an inscribed angle lies outside a circle.

The options are as follows
4 only
1 & 3 only
1 only
2 & 4 only

Answer 1

1 & 3 only hope this helps :)

Explanation:

Answer 2

B

Explanation:

An inscribed angle is basically the angle formed at the intersection between two chords on the circle (can't be in the middle of the circle; see attachment).

The intersection point is also the vertex of the inscribed angle. And since the intersection is on the circle, then the vertex is on the circle, making Statement 1 correct. Then we can eliminate A and D because they don't include 1.

Comparing B and C, we need to look to see if Statement 3 is correct. If it is, we choose B and if not, we choose C.

Based on the definition, the sides of an inscribed angle are, in fact, chords of a circle. So, Statement 3 is correct.

The answer is B.

Hope this helps!