Chapter 8
Simplify the Ratios.
1. 5 in. over 45 feet.
2. 28:112
3. 9: 81
4. 3 quarts: 10 gallons
Complete the equation to fit the statement.
5. If a= c, then a=b
b d ? d
6. If a= c, then a+b = c+d
b d ? ?
7. ------> ((picture "given EB.." Find EB))
8. ------> ((picture "given EB.." Find BF))
9. What symbol indicates similarity?
[a] =
[b] ~
[c] /
Fill in the blank.
10. If two polygons are similar, then the ratio of their _________ is equal to the ratios of their________ side lenghts.
11. If two angles of one triangle are congruent to two angles of another triangle then the two triangles are similar. What is the postulate? __________
12. ((two triangles that are similar, triangles EFG and XYZ)) Find X(line FG)
13. _________ mi. is to 1 hr as 28 miles is to 7 hrs.
14. If 30 out of 50 adults drive a silver car, how many adults do not drive a silver car?
#'s 15-20 Solve the proportions. **Pictures Shown Below**
15. _______________
16. _______________
17. _______________
18. _______________
19. _______________
20. _______________
Find the Geometric Mean. Round to the neartest tenth.
21. a= 4, b= 9 ________________________
22. a= 33, b= 2 ________________________
23. a= 20, b=5 ________________________
24. a= 13, b= 8 ________________________
Find the new dimensions for the two following senerios.
25. If Maria has a photo that is 2 by 4 of her and her best friend and wants to enlarge it to hang on her bedroom wall. She wants the new length to be 22 what is the new width?
__________________
26. Jose is making flyers for the school bake sale. The dimensions of the flyer right now is 4 by 6. He wants to enlarge the flyer so that the width is 33 find the length.
___________________
State the theorm in which the sentence supports.
((Hint: Either SSS similarity theorm,SAS similarity theorm, Triangle Proportionality Theorm, or Converse of the Triangle Proportionality Theorm))
27. If the lengths of the corresponding sides of two triangles are proportional, then the triangles are similar.
28. If a line divides two sides of a triangle portportionally, then it is parallel ro the third side.
27. If an angle of one triangle is congruent to an angle in the second triangle and the lengths of the sides including these angles are proportional, then the triangles are similar.
29. If a line parallel to one side of a triangle intersects the other two sides, then it divides the two sides porportionally.
30. Which picture does the last picture on this page represent?