I'll solve each problem on this worksheet step by step.
Question 1: Are these two parallel or perpendicular lines?
- Looking at the arrows, they are pointing in different directions and would eventually cross if extended
- They are neither parallel (same direction) nor perpendicular (90° angle)
- Answer: Neither
Question 2: Are these two parallel or perpendicular lines?
- Both arrows point to the right in the same direction
- Lines that never meet and go in the same direction are parallel
- Answer: Parallel
Question 3: Are these two parallel or perpendicular lines?
- One line is horizontal (left-right), one is vertical (up-down)
- These form a 90° angle where they meet
- Answer: Perpendicular
Question 4: Identify a line segment
- A line segment has two endpoints (dots)
- Line PQ has dots at both P and Q
- Answer: PQ
Question 5: Identify a ray
- A ray has one endpoint and extends infinitely in one direction (shown with an arrow)
- Ray CD starts at C and goes through D infinitely
- Answer: CD (or ray CD)
Question 6: Identify a line
- A line extends infinitely in both directions (arrows on both ends)
- Line AB has arrows on both ends
- Answer: AB (or line AB)
Question 7: Is the statement true? m∠1 = 75°
- Angles 1 and 2 form a straight line (180°)
- If ∠2 = 105°, then ∠1 = 180° - 105° = 75°
- Answer: TRUE
Question 8: Is the statement true? m∠1 = 75°
- Angles 1 and 2 are vertical angles (opposite each other)
- Vertical angles are equal
- If ∠2 = 75°, then ∠1 = 75°
- Answer: TRUE
Question 9: Is the statement true? m∠1 = 75°
- Angles 1 and 2 are adjacent angles on a straight line
- They should add up to 180°
- 75° + 75° = 150°, not 180°
- This doesn't work for a straight line
- Answer: FALSE
Spiral Review Problems:
A. Write in standard form: four hundred sixty-seven thousand, fifteen
- Four hundred sixty-seven thousand = 467,000
- Fifteen = 15
- Combined: 467,015
B. Multiply: 78 × 35
- 78 × 35 = 78 × (30 + 5)
- 78 × 30 = 2,340
- 78 × 5 = 390
- 2,340 + 390 = 2,730
C. Write 0.3 as a fraction
- 0.3 means 3 tenths
- As a fraction: 3/10
Final Answer:
1. Neither
2. Parallel
3. Perpendicular
4. PQ
5. CD (ray CD)
6. AB (line AB)
7. TRUE
8. TRUE
9. FALSE
A. 467,015
B. 2,730
C. 3/10
Parent Tip: Review the logic above to help your child master the concept of lines rays and angles worksheet.