Refer to the edited figure.

Triangles ABC and A'B'C' are similar because of AAA.
Also,
$\frac{AB}{A'B'}= \frac{15}{5}=3 \\\\ \frac{AC}{A'C'}= \frac{12}{4}=3$

Therefore
ΔA'B'C' is 1/3 the size of ΔABC.
This means that the scale factor from ΔABC to ΔA'B'C' is a 3-factor reduction.

Answer: reduction; one-third.
The dilation is a reduction.
The scale factor of the dilation is one-third.

8 0

2 years ago

I have a LCM and GCF homework can someone help i dont understand??

Sindrei [870]

Alright,

So LCM stands for "least common multiple"
While GCF is "greatest common factor"

Let's look at your number 1 (3&6)

3,6,9,12
6,12,18,24

Both times table has 6 in them making 6 the LCM

To find the GCF we need to know what can go into 3 equally. Since 3 is prime the greatest factor for 3 is....3. 6 goes into 3 two times so 3 is the GCF.

LCM:6
GCF:3

Lets do number 10 (40&4)

For LCM you see whats the smallest number that is in both times tables

4,8,12,16,20,24,28.......40
40,80, 160....

40 is the LCM because 40 is what's the smallest number between the two

GCF?

4 times 1 equals 4. Nothing bigger than 4 can make 4 (if your multiplying). That makes 4 automatically the GCF. :)

6 0

2 years ago