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Weather Records: Angle Evidence worksheet preview

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Weather Records: Angle Evidence

Analyze a weather station’s temperature and rainfall displays using triangle angles, exterior angles, parallel lines, and AA similarity.

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, Circle the answer, Sorting, Short answer

About this worksheet

What students practice

  • Students use triangle angle sums and exterior angle relationships to justify angle measures.
  • Students explain angle relationships formed by parallel lines and a transversal.
  • Students use angle-angle similarity to evaluate triangular display designs.

How to use

Use after introducing parallel-line angle relationships. Have students mark angle relationships as they work, then discuss the reasoning behind their choices.

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

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Name Date

Weather Records: Angle Evidence

Use angle relationships to check a weather station’s recording displays.

Temperature and Rainfall Markers

The weather station uses triangular markers to flag temperature and rainfall records. Check each design using angle relationships.

1.
Select every proposed marker whose three interior angle measures can form a triangle.
Proposed Record Markers
MarkerInterior angles
Frost32°, 58°, 90°
Drizzle44°, 66°, 80°
Heat71°, 71°, 38°
Downpour95°, 52°, 43°

FrostDrizzleHeatDownpour

2.
A designer wants a triangular high-temperature marker with two obtuse interior angles. Which argument shows why this is impossible?
  • A. Two obtuse angles would force all three angles to be equal.
  • B. Two obtuse angles would force the third angle to be a right angle.
  • C. Two obtuse angles would already have a sum greater than 180°.
  • D. Two obtuse angles would already have a sum greater than 360°.
3.
A rainfall marker is an isosceles triangle. Its vertex angle measures 44°, and its two base angles are equal.

What is the measure of each base angle?  °

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