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Similar and Congruent Triangles and problems.pptx

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amyw1990

similar triangles

Engineering
1 of 9
Extra Help on Similar and Congruent Triangles
Ratio vs Proportion
Applying the Pythagorean Theorem 1. 2.
Similar Triangles • Similar triangles: triangles in which corresponding sides are proportional • Similar triangles are enlargements or reductions of each other • Scale factor: the value of the ratio of corresponding side lengths in a pair of similar figures
Are these two triangles similar? If so, what is the scale factor? Similar Triangles
Are these two triangles similar? If so, what is the scale factor? Similar Triangles
Similar Triangles
Similar Triangles A new bridge is going to be built across a river, but the width of the river cannot be measured directly. Surveyors set up posts at points A, B, C, D and E. Then they took measurements relative to the posts. What is the width of the river?
Similar Triangles Shiva is standing beside a lighthouse on a sunny day, as shown. She measures the length of her shadow and the length of the shadow cast by the lighthouse. Shiva is 1.6 m tall. How tall is the lighthouse?

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Similar and Congruent Triangles and problems.pptx

  • 1. Extra Help on Similar and Congruent Triangles
  • 3. Applying the Pythagorean Theorem 1. 2.
  • 4. Similar Triangles • Similar triangles: triangles in which corresponding sides are proportional • Similar triangles are enlargements or reductions of each other • Scale factor: the value of the ratio of corresponding side lengths in a pair of similar figures
  • 5. Are these two triangles similar? If so, what is the scale factor? Similar Triangles
  • 6. Are these two triangles similar? If so, what is the scale factor? Similar Triangles
  • 8. Similar Triangles A new bridge is going to be built across a river, but the width of the river cannot be measured directly. Surveyors set up posts at points A, B, C, D and E. Then they took measurements relative to the posts. What is the width of the river?
  • 9. Similar Triangles Shiva is standing beside a lighthouse on a sunny day, as shown. She measures the length of her shadow and the length of the shadow cast by the lighthouse. Shiva is 1.6 m tall. How tall is the lighthouse?