Answer:
D and E are correct
Explanation:
Here, we want to select the set of values which could be the values of the sides of triangle z.
What we want here are sets of values which is a direct scale up value of the sets of values of triangle M:
We proceed as follows;
a. 8, 11 and 14.
This cannot be correct
Looking at the values of M, 4,7 and 10; We can see that while 4 and 7 are directly scaled up by factor 2 to give 8 and 14, by correspondence, 10 should be 20 and not 11 as in this case.
B. 10, 7.5 and 25
This cannot be correct too. Looking at the way 4 and 10
are scaled up by a value of 2.5; then the value of 7 should be scaled by 2.5 too, but 2.5 * 7 is not 7.5, so this cannot be correct
C. 6 , 9 and 11
This is not correct. In fact, we cannot identify a pattern between these numbers and their values before scaling up
D 6, 10.5 and 15
This looks correct. We can see that the values of triangle M if multiplied by 1.5 each can give these
4 * 1.5 = 6
7 * 1.5 = 10.5
and 10 * 1.5 = 15
e. 8, 14 and 20
Multiplying the sides of triangle M by 2, we can get these values.
4 * 2 = 8
7 * 2 = 14
and 10 * 2 = 20
The scale up value here is simply 2