Question

A theorem in geometry states that the measure of an inscribed angle is half the measure of its

intercepted arc. In the figure, ZC intercepts arc AB and AB is the diameter of the circle,
Which equation is a step in showing that mZC = 90°?

Answer 1

3rd I did the test on iready

Explanation:

Answer 2

The correct option is C

Explanation:

From the question the slope AC is evaluated as

`m_1 = (b-0)/(a- (-c))`

`m_1 = (b)/(a+c)`

And the slope of line CB is mathematically evaluated as

`m_2 = (0-b)/(c-a)`

`m_2 = (b)/(c-a)`

Now for lines that are perpendicular to each other then the product of their slope should be equal to -1

So if
`m ZC`
`= 90^o`

Then

`m_ *m_2 = -1`

i.e

`[(b)/(a+ c) ] [(b)/(a-c) ] = -1`