1. 7-1 Ratios and Proportions

2. 36+60+84 = 180 true Triangle Angle Sum=180˚
The ratios of the angles in ΔABC is 3:5:7. Find the measure of the angles.
Triangle Angle Sum=180˚
= 180 true

3. 48+96+144 +72= 360 true Quad. Angle Sum=360˚
The ratios of the angles in quadrilateral is 2:4:6:3 Find the measure of the angles.
Quad. Angle Sum=360˚
= 360 true

4. The ratios of the side lengths in quadrilateral is 2:3:5:4 and the perimeter is 154 feet. Find the length of the shortest side.
22 feet

5. 14 feet The ratios of the side lengths in a triangle is
and the perimeter is 31.5 feet. Find the length of the longest side.
14 feet

6. The perimeter of a rectangle is 270 inches
The perimeter of a rectangle is 270 inches. The ratio of its length to width is 7:2 Find the area of the rectangle.
Perimeter rule

7. The perimeter of a rectangle is 77 inches
The perimeter of a rectangle is 77 inches. The ratio of its length to width is 6:5 Find the area of the rectangle.
Perimeter rule

8. Similar Polygons

9. Therefore, YES similar by AA postulate
Determine whether the two triangles are similar. If yes, write the similarity statement and the scale factor.
<L=<R
<N=<Q
Therefore, YES similar by AA postulate

10. Statement
LMN~RPQ

11. Find LM

12. Find PQ

13. Two similar rectangles have a scale factor 3:2
Two similar rectangles have a scale factor 3:2 . The perimeter of small rectangle is 50 feet, find the perimeter of large rectangle.
Since 3 greater than 2, so PL is in the top.

14. Two similar pentagons have a scale factor 3:7
Two similar pentagons have a scale factor 3:7 . The perimeter of larger pentagon is 42 feet, find the perimeter of smaller rectangle.
Since 3 smaller than 7, so Ps is in the top.

15. Polygons are similar. Find x

16. Polygons are similar. Find y

17. P(∆DEF)=30

19. Similar Triangles

21. Determine whether the triangles are similar
Determine whether the triangles are similar. If so, write a similarity statement. Explain your reasoning.
80˚
58˚
Yes similar by AA
∆ABC ~ ∆EDF

22. Therefore, YES similar by AA postulate
Determine whether the two triangles are similar. If yes, write the similarity statement and the scale factor.
<A=<E
<B=<D
Therefore, YES similar by AA postulate
∆ABC ~ ∆EDC

23. Find length of AC

24. Yes similar by SSS postulate. ∆ABC ~ ∆DEC
Determine whether the triangles are similar. If so, write a similarity statement. Explain your reasoning.
Yes similar by SSS postulate.
∆ABC ~ ∆DEC

25. Determine whether the triangles are similar
Determine whether the triangles are similar. If so, write a similarity statement. Explain your reasoning.