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Big Ideas Math Integrated I, 2016

BI

Big Ideas Math Integrated I, 2016 View details

3. Rotations

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Exercise 40 Page 568

Think about the transformation that may have been done to make the first figure look like the second figure.

Corresponding Sides	Corresponding Angles
PQ & WV	∠ R & ∠ Z
QR & VZ	∠ S & ∠ Y
RS & ZY	∠ T & ∠ X
YX & ST	∠ P & ∠ W
TP & XW	∠ Q & ∠ V

Practice makes perfect

If we draw a vertical line between the two figures, it appears that WVZYX is a reflection of PQRST.

By undoing the reflection of WVZYX, we can more easily match the corresponding sides and angles.

Now we can relate the polygons sides and angles.

Corresponding Sides	Corresponding Angles
PQ & WV	∠ R & ∠ Z
QR & VZ	∠ S & ∠ Y
RS & ZY	∠ T & ∠ X
YX & ST	∠ P & ∠ W
TP & XW	∠ Q & ∠ V

Subchapter links

Communicate Your Answer p.561

Monitoring Progress p.563-565

Exercises p.566-568