Question

nl and mk are diameters of circle j. complete the statements about circle j. mp is a and measures degrees. mln is a and measures degrees. major arc minor arc semicircle

Explanation:

Step1: Recall arc - type definitions

An arc that is less than a semicircle is a minor arc, an arc greater than a semicircle is a major arc, and an arc that is half - of a circle is a semicircle.

Step2: Determine the type and measure of arc MP

The central angle corresponding to arc MP is \(90^{\circ}\). Since \(90^{\circ}<180^{\circ}\), arc MP is a minor arc and its measure is equal to the measure of its central angle, so it measures \(90\) degrees.

Step3: Determine the type and measure of arc MLN

Since NL is a diameter, arc MLN is a semicircle. A semicircle measures \(180\) degrees.

Answer:

MP is a minor arc and measures 90 degrees.
MLN is a semicircle and measures 180 degrees.