Shapes and Designs Quiz #2 Review

Shapes & Designs

Quiz #2 Review

Multiple Select

Which of the following regular shapes can I use to tile a floor?

(In other words....which ones tessellate?)

• square

• pentagon

• hexagon

• triangle

• octagon

Remember, when squares, triangles and hexagons meet, that group of angles add up to 360°. That's why they can tessellate.

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w

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To solve this, we have to start by solving the measure of angle w. We can see that it is supplementary to the 148° angle.

​w = 180-148

w = 32

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Now, we know that our triangle has angles of 56 and 32.

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180 = 56 + 32 + h

180 = 88 + h​

92 = h​

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We know that the interior angle sum of a quadrilateral is 360°.

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360 = 90 + 90 + 146 + w

360 = 326 + w

34 = w​

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We know that the interior angle sum of a quadrilateral is 360°.

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360 = 80 + 70 + x + 2x

360 = 150 + 3x

210 = 3x

70 = x

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So angle x is 70. Angle 2x = 140.​

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​You Seventh Graders ARE THE BEST!!!

You're doing awesome!

Keep it up!!!​