Question

Which describes the correct order of steps to construct an angle bisector of ∠jkl using only a straightedge and compass?

1) 1. draw a circle with a radius less than jk and center k, and label the points of intersection m and n. 2. draw a line from point m to point n. 3. draw a circle with radius mn and center m and another circle with radius mn and center n, and then draw an equilateral triangle. 4. use a straightedge to connect k to the rightmost vertex of the equilateral triangle.
2) an angle bisector cannot be constructed using only a straightedge and compass.
3) 1. use a straightedge to connect k to the rightmost vertex of the equilateral triangle. 2. draw a circle with a radius less than jk and k as center, and label the points of intersection m and n. 3. draw a line from point m to point n. 4. draw a circle with radius mn and center m and another circle with radius mn and center n, and then draw an equilateral triangle.
4) 1. draw a circle with a radius less than jk and center k, and label the points of intersection m and n. 2. draw a circle with radius mn and center m and another circle with radius mn and center n, and then draw an equilateral triangle. 3. use a straightedge to connect k to the rightmost vertex of the equilateral triangle. 4. draw a line from point m to point n.

Answer 1

To construct the angle bisector of ∠jkl using a straightedge and compass, follow the steps: draw circles, draw an equilateral triangle, and connect points with a straightedge.

Step-by-step explanation:

The correct order of steps to construct an angle bisector of ∠jkl using only a straightedge and compass is as follows:

1. Draw a circle with a radius less than jk and center k, and label the points of intersection m and n.
2. Draw a circle with radius mn and center m and another circle with radius mn and center n, and then draw an equilateral triangle.
3. Use a straightedge to connect k to the rightmost vertex of the equilateral triangle.
4. Draw a line from point m to point n.