Question

1. what is required to use the asa method for constructing a triangle in geogebra? a. the measures of two angles b. all angles congruent c. the length of two sides d. the distance between the vertices 8. a triangles angle bisectors intersect at a point equidistant from all three sides. this point is called the: a. centroid b. orthocenter c. circumcenter d. incenter 9. which theorem states that the angle bisector of a triangle divides the opposite side into segments proportional to the other two sides? a. triangle inequality theorem b. perpendicular bisector theorem c. angle bisector theorem d. side - angle - side theorem

Explanation:

• For question 7, ASA (Angle - Side - Angle) construction requires the measures of two angles and the included side. Among the options, the key part related to the given choices is the measures of two angles.
• For question 8, by definition, the in - center of a triangle is the point of intersection of the angle bisectors and is equidistant from all three sides.
• For question 9, the angle bisector theorem states that the angle bisector of a triangle divides the opposite side into segments proportional to the other two sides.

Answer:

1. a. The measures of two angles
2. d. Incenter
3. c. Angle Bisector Theorem