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Skills Practice Workbook - Glencoe

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9–2<br />

Similar Polygons<br />

<strong>Skills</strong> <strong>Practice</strong><br />

Determine whether each pair of polygons is similar. Justify your answer.<br />

1. 3<br />

6 2. 2 5<br />

3.<br />

4<br />

3<br />

4<br />

8<br />

Yes; corresponding<br />

angles are congruent<br />

3 4<br />

and � � � .<br />

6 8<br />

Yes; corresponding<br />

angles are congruent<br />

and � .<br />

2 2<br />

� �<br />

5 5<br />

4. 3<br />

4<br />

5. 6.<br />

3<br />

3<br />

No; corresponding<br />

angles are not<br />

congruent.<br />

6<br />

8<br />

Yes; corresponding<br />

angles are congruent<br />

14 14 14<br />

and � � � � �. 26 26 26<br />

If each pair of polygons is similar, find the values of x and y.<br />

7. 8. 20<br />

9.<br />

y x<br />

20<br />

3<br />

6 12<br />

4<br />

4<br />

4<br />

10. 11. 12.<br />

11<br />

2<br />

2<br />

No; � .<br />

2 1<br />

� �<br />

3 5<br />

Yes; corresponding<br />

angles are congruent<br />

6<br />

and � is the ratio for<br />

10<br />

the lengths of all six<br />

sides.<br />

x � 8, y � 10 x � 30, y � 30 x � 6, y � 24<br />

3<br />

4 4<br />

10<br />

x<br />

16<br />

6 y<br />

NAME DATE PERIOD<br />

14<br />

20<br />

14<br />

4<br />

4<br />

4<br />

4<br />

20<br />

4<br />

4<br />

x � 8, y � 20 x � 11, y � 11 x � 15, y � 24<br />

2<br />

5<br />

14<br />

© <strong>Glencoe</strong>/McGraw-Hill 48 Geometry: Concepts and Applications<br />

20<br />

26<br />

5<br />

30<br />

y<br />

26<br />

x<br />

x<br />

y<br />

5<br />

26<br />

1<br />

6<br />

2<br />

1<br />

2 3<br />

6<br />

6 10<br />

6 6 10<br />

6<br />

4<br />

10<br />

6<br />

16<br />

16<br />

14<br />

9<br />

5<br />

5<br />

10<br />

10<br />

x<br />

10<br />

10<br />

6<br />

x<br />

y<br />

y<br />

3

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