Question

for questions 6 - 9, identify the segments shown in each triangle as altitudes, angle bisectors, medians, midsegments, or perpendicular bisectors.
6.
7.
8.
9.
2 pts each

1. list the sides of △rst in order from greatest to least.
2. list the angles of △xyz in order from least to greatest.
3. compare the angles by filling in the blank with a < or > symbol.
4. compare the sides by filling in the blank with a < or > symbol.

Explanation:

Step1: Recall definitions

An altitude is a perpendicular segment from a vertex to the opposite - side. An angle - bisector divides an angle into two equal angles. A median connects a vertex to the mid - point of the opposite side. A mid - segment connects the mid - points of two sides. A perpendicular bisector is perpendicular to a side and bisects it.

Step2: Analyze each triangle in questions 6 - 9

For each triangle, identify the segments based on the above definitions.

Step3: Recall angle - side relationships

In a triangle, the longest side is opposite the largest angle and the shortest side is opposite the smallest angle.

Step4: Order sides and angles

For question 10, order the sides of the triangle from greatest to least based on the angle measures (since larger angles are opposite longer sides). For question 11, order the angles from least to greatest based on the side lengths (since smaller angles are opposite shorter sides).

Step5: Compare angles and sides

For question 12, use the exterior - angle inequality theorem (an exterior angle of a triangle is greater than either of the non - adjacent interior angles) to compare the angles. For question 13, use the angle - side relationship (longer sides are opposite larger angles) to compare the sides.

Since the specific details of the triangles in the questions are not clear enough to give exact answers, we'll assume a general approach:

Answer:

6 - 9: Need to analyze each triangle's segments based on definitions.
10: Order sides as per angle - side relationship.
11: Order angles as per angle - side relationship.
12: Use exterior - angle inequality for angle comparison.
13: Use angle - side relationship for side comparison.