Question: 4. Name three points that are collinear in the diagram to the right.
A. points T, Q, and R
B. points T, Q, and S
C. points S, Q, and R
D. points T, S, and R
5. The classification of an angle that is 95° is ________
A. Acute B. Right C. Obtuse D. Straight
6. If AB = 27 and AC = 45, find BC using segment addition postulate. Show all work!
1. **Problem 4: Identify three collinear points.**
Collinear points lie on the same straight line.
Given points T, Q, S, and R with Q and R on an intersection and S on a vertex, the points that lie on the same line are T, Q, and R.
So, the answer is **A. points T, Q, and R**.
2. **Problem 5: Classify an angle of 95°.**
- Acute angle: less than 90°
- Right angle: exactly 90°
- Obtuse angle: greater than 90° and less than 180°
- Straight angle: exactly 180°
Since 95° > 90° and < 180°, the angle is **Obtuse**.
Answer: **C. Obtuse**.
3. **Problem 6: Find BC using segment addition postulate.**
The segment addition postulate states:
$$AB + BC = AC$$
Given:
$$AB = 27$$
$$AC = 45$$
Substitute values:
$$27 + BC = 45$$
Subtract 27 from both sides:
$$\cancel{27} + BC = 45 - \cancel{27}$$
$$BC = 18$$
Answer: $$BC = 18$$.