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Example 2 Determine Whether Polygons are Similar Determine whether the triangles are similar. If they are similar, write a similarity statement and find the scale factor of Figure B to Figure A. Solution 1. Check whether corresponding angles are congruent. From the diagram, tb , and . So, the corresponding angles are Congruent. 2. Check whether corresponding side lengths are proportional. All three ratios are equal, so the corresponding side lengths are Answer By definition, the triangles are . The scale factor of Figure to Figure is Checkpoint Determine whether the polygons are similar. If they are similar, write a similarity statement and find the scale factor of Figure to Figure . 1.
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Question Text | Example 2 Determine Whether Polygons are Similar
Determine whether the triangles are similar. If they are similar, write a similarity statement and find the scale factor of Figure B to Figure A.
Solution
1. Check whether corresponding angles are congruent.
From the diagram, tb , and . So, the corresponding angles are Congruent.
2. Check whether corresponding side lengths are proportional.
All three ratios are equal, so the corresponding side lengths are
Answer By definition, the triangles are . The scale factor of Figure to Figure is
Checkpoint Determine whether the polygons are similar. If they are similar, write a similarity statement and find the scale factor of Figure to Figure .
1. |
Updated On | Feb 15, 2023 |
Topic | Congruent Triangles |
Subject | Geometry |
Class | High School |
Answer Type | Video solution: 1 |
Upvotes | 60 |
Avg. Video Duration | 5 min |