Lesson 5: Drawing Triangles

FUSD AZCCRS MATHEMATICS CURRICULUM

Lesson 5

7?6

Lesson 5: Drawing Triangles

? I can draw triangles given different criteria.

? I can determine which criteria result in many, few, or one triangle.

Exercises 1¨C2

1.

Use your protractor and ruler to draw right triangle ???. Label all sides and angle measurements.

a. Predict how many of the right triangles drawn in class are identical to the triangle you have drawn.

b.

2.

How many of the right triangles drawn in class are identical to the triangle you drew? Were you correct in your

prediction?

Given the following three sides of ¡÷ ???, use your compass to copy the triangle. The longest side has been copied for

you already. Label the new triangle ?¡ä?¡ä?¡ä, and indicate all side and angle measurements.

Lesson 5:

Drawing Triangles

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Lesson 5

FUSD AZCCRS MATHEMATICS CURRICULUM

7?6

Exploratory Challenge

A triangle is to be drawn provided the following conditions: the measurements of two angles are 30¡ã and 60¡ã, and the

length of a side is 10 cm. Note that where each of these measurements is positioned is not fixed.

a. How is the premise of this problem different from Exercise 2?

In that exercise, we drew triangles with ____________________________________.

In this problem, we are provided with _____ angle measurements and ______

side length. The process of drawing this triangle will be different because

_____________________________________________________________________________

____________________________________________________________________________.

b.

Given these measurements, do you think it will be possible to draw more than one triangle so that the triangles

drawn will be different from each other? Or do you think attempting to draw more than one triangle with these

measurements will keep producing the same triangle, just turned around or flipped about?

c.

Based on the provided measurements, draw ¡÷ ??? so that ¡Ï? = 30¡ã, ¡Ï? = 60¡ã, and ?? = 10 cm.

Describe how the 10 cm side is positioned.

The 10 cm side is __________________ angles _____ and ______.

Lesson 5:

Drawing Triangles

This work is derived from Eureka Math ? and licensed by Great Minds. ?2015 Great Minds. eureka-

This file derived from G7-M6-TE-1.3.0-10.2015

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This work is licensed under a

Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.

Lesson 5

FUSD AZCCRS MATHEMATICS CURRICULUM

d.

7?6

Now, using the same measurements, draw ¡÷ ?¡ä?¡ä?¡ä so that ¡Ï?¡ä = 30¡ã, ¡Ï?¡ä = 60¡ã, and ?? = 10 cm. Describe

how the 10 cm side is positioned.

The 10 cm side is __________________ to angle ________.

e.

Lastly, again, using the same measurements, draw ¡÷ ?¡ä¡ä?¡ä¡ä?¡ä¡ä so that ¡Ï?¡ä¡ä = 30¡ã, ¡Ï?¡ä¡ä = 60¡ã, and

?¡ä¡ä ? ¡ä¡ä = 10 cm. Describe how the 10 cm side is positioned.

The 10 cm side is __________________ to angle ________.

f.

Are the three drawn triangles identical? Justify your response using measurements.

Lesson 5:

Drawing Triangles

This work is derived from Eureka Math ? and licensed by Great Minds. ?2015 Great Minds. eureka-

This file derived from G7-M6-TE-1.3.0-10.2015

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This work is licensed under a

Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.

Lesson 5

FUSD AZCCRS MATHEMATICS CURRICULUM

7?6

g.

Draw ¡÷ ?¡ä¡ä¡ä?¡ä¡ä¡ä?¡ä¡ä¡ä so that ¡Ï?¡ä¡ä¡ä = 30¡ã, ¡Ï?¡ä¡ä¡ä = 60¡ã, and ?¡ä¡ä¡ä ? ¡ä¡ä¡ä = 10 cm. Is it identical to any of the three

triangles already drawn?

h.

Draw another triangle that meets the criteria of this challenge. Is it possible to draw any other triangles that

would be different from the three drawn above?

Lesson Summary

The following conditions produce identical triangles:

What Criteria Produce Unique Triangles?

Criteria

Example

?

? I can draw triangles given different criteria.

? I can determine which criteria result in many, few, or one triangle.

Lesson 5:

Drawing Triangles

This work is derived from Eureka Math ? and licensed by Great Minds. ?2015 Great Minds. eureka-

This file derived from G7-M6-TE-1.3.0-10.2015

S.19

This work is licensed under a

Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.

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