Park street is parallel to Rock street. Garden street is perpendicular (90°) to Lake street. Lake street is parallel to Rock street. For the situation described above, the TRUE statement is
Street Relationship Analysis
We are given the following relationships between streets:
- Park street is parallel to Rock street (Park || Rock).
- Garden street is perpendicular to Lake street (Garden ⊥ Lake).
- Lake street is parallel to Rock street (Lake || Rock).
Deduce Street Directions
Using the given information, we can deduce further relationships:
- Since Park || Rock and Lake || Rock, it implies that Park street is parallel to Lake street (Park || Lake).
- We know Garden ⊥ Lake. Since Park || Lake, if a street is perpendicular to one parallel street, it must be perpendicular to the other as well. Therefore, Garden street is perpendicular to Park street (Garden ⊥ Park).
- Similarly, since Garden ⊥ Lake and Lake || Rock, it implies that Garden street is perpendicular to Rock street (Garden ⊥ Rock).
Evaluate Options
Let's check each statement based on our deductions:
- Option 1: Park street is perpendicular to Lake street. This contradicts our finding that Park || Lake. Statement is False.
- Option 2: Rock street is parallel to Garden street. This contradicts our finding that Garden ⊥ Rock. Statement is False.
- Option 3: Park street is parallel to Garden street. This contradicts our finding that Garden ⊥ Park. Statement is False.
- Option 4: Garden street is perpendicular to Park street. This matches our deduction (Garden ⊥ Park). Statement is True.
The TRUE statement is that Garden street is perpendicular to Park street.
Important Questions from Direction and Distance
According to the map shown in the figure, which one of the following statements is correct?
Note: The figure shown is representative.
- The front door of Mr. X's house faces East. Mr. X leaves the house, walking 50 m straight from the back door that is situated directly opposite to the front door. He then turns to his right, walks for another 50 m and stops. The direction of the point Mr. X is now located at with respect to the starting point is ________
- Fatima starts from point P. goes North for 3 km, and then East for 4 km to reach point Q. She then turns to face point P and goes 15 km in that direction. She then goes North for 6 km. How far is she from point P, and in which direction should she go to reach point P?
- X is 1 km northeast of Y. Y is 1 km southeast of Z. W is 1 km west of Z. P is 1 km south of W. Q is 1 km east of P. What is the distance between X and Q in km?
Ms. X came out of a building through its front door to find her shadow due to the morning sun falling to her right side with the building to her back. From this, it can be inferred that building is facing _______________
