OwlSheets
City Transfers: Angle Audit worksheet preview

WorksheetPremium

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

Buy this worksheet: $1.50

Or unlock every Premium worksheet with Premium

PrintUnlock to print
Answer keyUnlock to see answers
Assign to classUnlock to assign with a class code

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

8.G.A.5

Give informal arguments about triangle angle sums, exterior angles, angles from parallel lines cut by a transversal, and angle-angle similarity.

Preview

OwlSheets.com

Name Date

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.

1.
A bus route and two subway segments outline a triangle. The exterior angle at Junction is adjacent to its interior angle.
Route Loop Angle Notes
StopInterior angleExterior angle
Harbor51°—
Junction?124°
Civic Center?—

What is the interior angle at Civic Center?  °

2.
A planner divides a four-sided transfer zone into two triangles by drawing one diagonal. Why do the four original interior angles total 360°?
  • 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.
3.
A revised triangular route loop has interior angles of (x + 15)°, (2x + 5)°, and (3x − 8)°. The planner needs the largest angle for a label.

What is the largest interior angle?  °

The preview shows the first questions. Unlock the worksheet to see all of it.

Related worksheets