1.Radii of congruent circles are equal.
True
or
False
2.The measure of an angle formed by two secants intersecting outside the circle equals
a. ½ the sum of the intercepted arcs
b. ½ the difference of the intercepted arcs
c. ½ the measure of the intercepted arc
1. The statement "Radii of congruent circles are equal" is true.
To understand why, let's break down the statement. "Radii" refer to the line segments joining the center of a circle to any point on its circumference. "Congruent circles" are circles that have the same size and shape.
So, if two circles are congruent, it means that they have the same size. Since the size of a circle is determined by its radius, it follows that the radii of congruent circles must be equal.
2. The measure of an angle formed by two secants intersecting outside the circle equals ½ the difference of the intercepted arcs.
To understand this, we need to clarify a few terms. "Secants" are lines that intersect a circle at two distinct points. "Intercepted arcs" refer to the arcs formed by the secants within the circle.
When two secants intersect outside the circle, they form four angles. The angle we're interested in is the one formed between the two secants, outside the circle.
To find the measure of this angle, we need to consider the intercepted arcs. The intercepted arcs are the portions of the circle's circumference that lie between the points where the secants intersect the circle.
The measure of the angle formed outside the circle is equal to half the difference between the measures of the intercepted arcs.
So, the correct answer is option b. ½ the difference of the intercepted arcs.