Question

sketch triangles. names properties sketches materials needed: compass, a straightedge & paper. scalene a) name the circles. equilateral b) draw a circle whose radius is 1 inch. isosceles c) draw a line segment ab. acute d) with a as the center, draw a circle whose radius is segment ab. obtuse e) with b as the center, draw a circle whose radius is segment ab. right look at the figure. a) what is the length of the radius of circle a? b) what is the length of the radius of circle b? c) what do you say so?

Explanation:

Step1: Analyze construction instructions

From the construction steps "With A as the center, draw a circle whose radius is segment AB" and "With B as the center, draw a circle whose radius is segment AB", we know that the radius of circle A and circle B is equal to the length of segment AB.

Step2: Answer part - a

The length of the radius of circle A is the length of segment AB.

Step3: Answer part - b

The length of the radius of circle B is the length of segment AB.

Step4: Answer part - c

Because the circles are constructed such that the radius of each circle is defined as the length of segment AB.

Answer:

a) The length of segment AB.
b) The length of segment AB.
c) The circles are constructed with radius equal to segment AB.