Answer: Yes, they are similar- and the Scale Factor is 2.5
Step-by-step explanation: To find the scale factor, simply divide the larger number on the bigger shape by its counterpart in the smaller image, so for example: 60 divided by 24 is 2.5, and there is your scale factor. You can further test this by multiplying 4 x 2.5 which gives us 10, the other value on the larger shape.
Answer: 1. 2. 3. 4. 5. yAs!
Step-by-step explanation:
Step-by-step explanation:
angle A and Angle D are congruent. as are Angle C and Angle F.
because you have two pairs of congruent angles this proves the triangles are similar using AA Theorem.
I couldn't read the 3rd question. if you post as a comment I can look at it better.
We know that
<span>When you translate a figure, none of the lengths change and none of the angles change
</span>
therefore
the answer is
G'G = 8 units ------> <span>is not necessarily true
</span>
9514 1404 393
Answer:
3070.06 square inches
Step-by-step explanation:
The area of the left triangle can be found using Heron's formula:
s = semiperimeter = (53+71+58)/2 = 91
area = √(s(s -53)(s -71)(s -58)) = √2282280 ≈ 1510.72
The area of the right triangle can be found using the trig formula ...
area = 1/2ab·sin(C)
area = 1/2(55)(71)sin(53°) ≈ 1559.34
Then the total area is ...
1510.72 +1559.34 = 3070.06 . . . . . square inches
