Proof of the Circle Theorems

$Y\,$ and $Z\,$ are three points on the edge of a circular disc, centre $W$ . $XWZ\,$ is a diameter.

A circle with center W. Points X, Y, and Z are on the circumference. XWZ is a diameter, and XYZ is an inscribed angle.

Show that angle $XYZ\,$ is exactly $90∘90^\circ$ .

You must not use any circle theorems in your proof.

[4]

Proof of the Circle Theorems

$Y\,$ and $Z\,$ are three points on the edge of a circular disc, centre $W$ . $XWZ\,$ is a diameter.

A circle with center W. Points X, Y, and Z are on the circumference. XWZ is a diameter, and XYZ is an inscribed angle.

Show that angle $XYZ\,$ is exactly $90∘90^\circ$ .

You must not use any circle theorems in your proof.

[4]

Proof of the Circle Theorems

Proof of the Circle Theorems Questions