WorksheetPremium

Swim Practice: Angles in the Lap Log

Reason about triangle sums, exterior angles, parallel lines, and AA similarity using a swimming team's practice-log diagrams.

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, Circle the answer, Short answer

About this worksheet

What students practice

Students use triangle sums and exterior-angle relationships to find unknown angles and justify conclusions.
Students explain angle relationships formed by parallel lines and a transversal.
Students use two equal angle pairs to establish triangle similarity.

How to use

Use after introducing triangle angle relationships and AA similarity. Have students annotate the diagrams and discuss the reasoning in the final question.

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

Swim Practice: Angles in the Lap Log

Use angle relationships to check the team's practice diagrams.

Triangles in the Practice Log

The team uses triangular regions to compare practice times and completed laps. Use the stated angle measures; do not measure drawings.

The coach joins O, T, and P to form a triangle under a swimmer's time-and-lap record. OT is horizontal, and TP is vertical. Which argument establishes the sum of the angles at O and P?

A. They total 45° because both must be equal acute angles.
B. They total 270° because the right angle adds 90° to 180°.
C. They total 90° because the right angle uses 90° of the triangle's 180°.
D. They total 180° because every triangle has three angles.

In another time-and-lap triangle, the interior angles measure 90°, (3x + 4)°, and (2x + 6)°.

What value of x makes the triangle's angle sum correct? x =

The coach extends one side of a triangular lap-summary region. The diagram shows the interior angle i and its adjacent exterior angle. One of the two remote interior angles measures 46°.

What is the measure of the other remote interior angle? °

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