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# 3c and 4d similar and congruent proportions

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similar and congruent figures - 7th grade math

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### 3c and 4d similar and congruent proportions

1. 1. 3c: Justify congruency and symmetry of two figures (DOK 2)4d: Solve problems involving scale factors using ratios and proportions (DOK 2)<br />By: Deia Sanders<br />
2. 2. Study these pictures<br />Similar or Congruent?<br />
3. 3. Vocabulary<br />Similar: two polygons are similar if the corresponding sides are in the same proportion; if the polygons are similar, the corresponding angles will be equal.<br />
4. 4. Let’s look at pages 138 and 139<br />
5. 5. Homework<br />Handout #1<br />Pages 155-157<br />
6. 6. Day 2<br />3c: Justify congruency and symmetry of two figures (DOK 2)4d: Solve problems involving scale factors using ratios and proportions (DOK 2)<br />
7. 7. Let’s Review from yesterday<br />Please exchange papers to check homework<br />
8. 8. Find Missing Lengths Using Proportions<br />Turn to pages 140-141<br />
9. 9. Examples<br />
10. 10. Homework<br />Complete Handout #2 pages 159-160<br />
11. 11. Day 3 <br />3c: Justify congruency and symmetry of two figures (DOK 2)4d: Solve problems involving scale factors using ratios and proportions (DOK 2)<br />
12. 12. Let’s Review from yesterday<br />Please exchange papers to check homework for a grade<br />
13. 13. Vocabulary<br />Line of symmetry: a line is a line of symmetry for a figure if the reflection of every point on that figure with respect to the line is also a point of the figure<br />(Where you can fold and object and it’s the exact same on both sides)<br />
14. 14. Turn to page 142<br />
15. 15. Examples<br />
16. 16. Homework<br />Handout #3 <br />Page 162<br />
17. 17. Closure<br />Where could we fold you to find your line of symmetry?<br />
18. 18. Day 4 <br />3c: Justify congruency and symmetry of two figures (DOK 2)4d: Solve problems involving scale factors using ratios and proportions (DOK 2)<br />
19. 19. Congruent: if two polygons are congruent, then their corresponding or matching sides and angles are also congruent. Congruent figures are also similar, so the corresponding sides can also be found using ratios.<br />Vocabulary<br />
20. 20. Congruent = Same<br />
21. 21. Turn to the bottom of page 142 and page 143<br />
22. 22. Secret trick<br />The sides and angles of polygons are listed the same order, or order of congruence. You can line up the letters from each figure on top of each other and it will match up the congruent sides and angles. <br />
23. 23. Examples<br />
24. 24. Homework<br />Handout #4<br />Page 164<br />