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City Transfers: Angle Audit
Students use triangle sums, exterior angles, parallel lines, and AA similarity to evaluate city transit map designs.
Grade 8MathInteractive · Printable
Aligned to8.G.A.5
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What’s included
- Single worksheet
- Auto-graded online
- 1 Common Core standard
- Printable answer key
- 14 questions
- Classroom-ready
Details
- Format
- Interactive · Printable
- Grade
- Grade 8
- Subject
- Math
- Question types
- Fill in the blank, Multiple choice, Matching, Circle the answer, Short answer
About this worksheet
What students practice
- Students justify triangle angle sums and exterior angle relationships.
- Students use angle relationships formed by parallel lines and transversals.
- Students use angle-angle similarity to compare triangular regions.
How to use
Use after introducing angle relationships. Have students annotate the route sketches and record supporting equations before comparing their reasoning.
Curriculum
Common Core standard covered
Give informal arguments about triangle angle sums, exterior angles, angles from parallel lines cut by a transversal, and angle-angle similarity.
Preview
OwlSheets.com
City Transfers: Angle Audit
Use angle relationships to check a bus and subway trip planner.
Triangular Route Loops
These questions concern a trip planner's map drawings, not travel times. A triangular route loop has three straight sides. An exterior angle is formed by extending one side beyond a vertex.
| Stop | Interior angle | Exterior angle |
|---|---|---|
| Harbor | 51° | — |
| Junction | ? | 124° |
| Civic Center | ? | — |
What is the interior angle at Civic Center? °
- A. The two triangle sums combine to give 2 × 180°.
- B. The diagonal adds a new 180° angle at each endpoint.
- C. The diagonal makes each original corner a right angle.
- D. The two triangles must have matching angle measures.
What is the largest interior angle? °
The preview shows the first questions. Unlock the worksheet to see all of it.
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