Solving 7th grade Math page 49 textbook 1 from the Connect Knowledge series provides detailed solutions for exercises 3.6, 3.7... covering the lesson on Two Parallel Lines and recognition signs. Students who are unsure which exercises to refer to can better understand Mathematics.
Explore more Math solving resources:
- Check out the complete set of solving Math for 7th grade from the Connect Knowledge series
- Solving Math 7th grade page 66, 67 textbook 1 from the Creative Horizon series - Last exercises of chapter 3
- Solving Math 7th grade page 68 textbook 1 from the Kite series - Exercise 8: Inverse proportional quantities
Solving 7th grade Math page 49 textbook 1 from the Connect Knowledge series
Two parallel lines and recognition signs
1. Solve Exercise 3.6 Page 49 Math Textbook Grade 7
Problem: Observe figure 3.24.
a) Find an angle at the odd position relative to angle MNB.
b) Find an angle at the position of congruence with angle ACB.
c) Name a pair of angles on the same side.
d) Given MN//BC, list three pairs of equal angles in the figure.
Solution Guide:
1 line intersects 2 parallel lines forming pairs of alternate interior angles equal, congruent.
Answer:
a) Angle MNB is alternate interior with angle NBC.
b) Angle ACB is congruent to ANM.
c) Pairs of angles on the same side are: angle MNC and angle NCB; angle NBM and angle MBC.
d) Because MN//BC,
2. Solve Exercise 3.7 Page 49 Math Textbook Grade 7
Solution Guide:
If a line intersects two lines creating a pair of alternate interior angles equal, then those two lines are parallel.
Answer:
3. Solve Exercise 3.8 Page 49 Math Textbook Grade 7
Problem: Observe figure 3.26, explain why AB // DC.
Solution Guide:
Observation: Two lines perpendicular to a third line are parallel to each other.
Answer:
Since AB and DC are both perpendicular to line AD, AB // DC.
4. Solve Exercise 3.9 Page 49 Math Textbook Grade 7
Problem: Given point A and line d not passing through A. Draw line d' passing through A and parallel to d.
Solution Guide:
We can use a compass to draw the figure as required by the problem.
Answer:
We utilize the 60o angle of the compass.
5. Solve Exercise 3.10 Page 49 Math Textbook Grade 7
Problem: Given two points A and B. Draw line a passing through A and line b passing through B so that a is parallel to b.
Solution Guide:
Draw line b passing through point B arbitrarily, then draw line a passing through A parallel to b.
Answer:
Draw line b passing through point B arbitrarily, then draw line a passing through A parallel to b as in exercise 3.9.
6. Solve Exercise 3.11 Page 49 Math Textbook Grade 7
Problem: Draw two line segments AB and MN so that AB // MN and AB = MN
Solution Guide:
Step 1: Draw line segment AB
Step 2: Draw line a parallel to AB
Step 3: On line a, take points M and N such that MN = AB
Answer:
We hope that through the document Solving 7th grade Math page 49 in textbook 1 from the Connect Knowledge series, students can easily solve exercises, effectively reinforce their knowledge.
Next Exercise:
- Solve Exercise 3.7 Page 50 Math Textbook Grade 7 from the Connect Knowledge series - Concentrated practice page 50
- Solve Exercise 3.53, 3.54 Page 49 Math Textbook Grade 7 from the Connect Knowledge series - Exercise 10: Euclid's Postulate. Properties of two parallel lines
Buzz
