Question

part 3 of 4
draw a large triangle with three acute angles. construct the bisectors of the three angles. what appears to be true about the three angle - bisectors?
what should be done to the triangle above?
a. construct a generic bisector of each side using a compass and straight - edge.
b. construct the bisector of each angle using a compass and straight - edge.
c. construct the perpendicular bisector of each angle using a compass and straight - edge.
d. construct the perpendicular bisector of each side using a compass and straight - edge.
what does the resulting construction look like? choose the correct answer below.

Explanation:

Step1: Identify the task

The task is to construct angle - bisectors of a triangle's angles.

Step2: Analyze the options for the first question

Option B correctly states that we should construct the bisector of each angle using a compass and straight - edge.

Step3: Analyze the options for the second question

When we construct the angle - bisectors of a triangle, they intersect at a single point (the in - center of the triangle). Option F shows three angle - bisectors intersecting at a point.

Answer:

For the first question: B. Construct the bisector of each angle using a compass and straight edge.
For the second question: F.