QuestionName: Date
Transversal Town
Directions: Cut out the places and road names below. Using the ten clues, arrange the pleces an a map of the city so that they meet all requirements. Glue or tape your find answers.
Ches:
D Angle Parkway and Congruent Street are parallel to each other.
12) Geometry Road is a transversal.
3) The schod and the library are vertical angles.
4) The library and the police station are alternate interior angles.
5) The pizza restaurant and the courthouse are vertical angles.
6) The police station and the courthouse are supplementary angles.
1.7) The courthouse and the library are same side interior angles.
8) The pizza restaurant and the fire station are alternate exterior angles.
q) The store and the fire station are congruent to one another.
10) The hospital and the library are corresponding angles.
cut out the pieces below:
that your town meets the crimentio or euntima.
Transversal Town
Studdy Solution
STEP 1
1. "Angle Parkway" and "Congruent Street" are parallel lines.
2. "Geometry Road" acts as a transversal intersecting these parallel lines.
3. The buildings need to be placed according to the geometric relationships described in the clues.
STEP 2
1. Identify the geometric relationships.
2. Place the buildings on the map according to the clues.
STEP 3
Identify the geometric relationships based on the clues provided:
1. Parallel Lines: "Angle Parkway" and "Congruent Street" are parallel.
2. Transversal: "Geometry Road" is the transversal intersecting the parallel lines.
3. Vertical Angles: Pairs of angles that are opposite each other when two lines intersect.
4. Alternate Interior Angles: Angles on opposite sides of the transversal but inside the parallel lines.
5. Alternate Exterior Angles: Angles on opposite sides of the transversal but outside the parallel lines.
6. Corresponding Angles: Angles that are in the same position on each parallel line.
7. Same Side Interior Angles: Angles that are on the same side of the transversal and inside the parallel lines.
8. Supplementary Angles: Two angles that add up to .
9. Congruent Angles: Angles that have the same measure.
STEP 4
Using the clues, place the buildings on the map:
1. **School and Library**: Place them as vertical angles.
2. **Library and Police Station**: Place them as alternate interior angles.
3. **Pizza Restaurant and Courthouse**: Place them as vertical angles.
4. **Police Station and Courthouse**: Place them as supplementary angles.
5. **Courthouse and Library**: Place them as same side interior angles.
6. **Pizza Restaurant and Fire Station**: Place them as alternate exterior angles.
7. **Store and Fire Station**: Place them as congruent angles.
8. **Hospital and Library**: Place them as corresponding angles.
STEP 5
Arrange the buildings on the map according to the relationships identified in Step 2. Ensure that each building meets all the specified geometric relationships with the others.
The buildings should now be correctly placed on the map according to the given clues and geometric relationships.
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