1) Find the following definitions and properties in the textbook pages and write them down:
● Ratio
The ratio of one number to another is the quotient when the first number is divided by the
second.
●
Proportion
A proportion is an equation stating that two ratios are equal.
●
Properties of Proportions
A:b = c:D
6:9 = 2:3
6/9:2/3
● Similar polygons
Two polygons are similar if their vertices can be paired:
Corresponding angles are congruent
Corresponding sides are in proportion.
If two polygons are similar, then the ratio of the lengths of two corresponding sides is called the
scale factor of the similarity.
2) Do the Self Test 1
ANSWERS ON NEXT PAGE
1. 3:5
2. 30 cm to 1 m
3. 2a/3b
4. X = 6
5. X= 10
6. x=3
7. NO
8. YES
9. YES
10. R = 45 degrees T = 60 degrees S = 75 degrees
11. 3/2
12. X = 12 y = 15 z = 12
13. 100 degrees, 100 degrees, 100 degrees, 120 degrees, 140 degrees, 160 degrees