The following transformations maintain their mathematical congruence. Translations (a translation is considered a 'direct isometry' because it not only maintains congruence, but it also, unlike reflections and rotations, preserves its orientation.
Answer:
Next year Aimee will be 13 years old
Step-by-step explanation:
Let's call Aimee's age A, and Jamie's age J.
From the information given, we have that:
A = (1/3) * J
A + 12 = (1/2) * (J + 12)
Using the value of A from the first equation in the second one, we have:
J/3 + 12 = J/2 + 6
J/2 - J/3 = 6
J/6 = 6
J = 36
Now we can find A:
A = (1/3) * 36 = 12
So next year Aimee will be 13 years old
Answer:
x > 4
Step-by-step explanation:
Reflection across y=x
And a transformation of 4 units to the right and 10 units up