A)
The dotted triangle is the transformed/new one and is smaller than the original figure so the dilation is a reduction.
b)
All points moved 1/3 of their distance to the center of the dilation/the origin
1-1/3=2/3 as a scale factor, or in other words if any of the original point coordinates gets multiplied by the factor 2/3 you will receive the transformed coordinates
Answer:
63 degrees.
Step-by-step explanation:
TRaingle ABC is isosceles so the base angles are equal That is < BAC = < BCA.
<BAC = 180 - 117 = 63 degrees ( because it is adjacent to <x which is 63 degrees).
So < BCA = <BAC = 63 degrees.
Finally y = 63 degrees ( vertical angles are equal).
One example is that you're given blueprints and you want to find out how large the object is in real life, rather than just on paper. The scale factor will help find those real life measurements. Let's say a house on paper is 2 inches long, and also let's say the scale factor is labeled "1 inch = 20 feet". This means the real life house is 2*20 = 40 feet long.
You could think of it as 1 inch = 20 feet, so 2 inches = 40 feet (multiply both sides by 2).
Scale factors are also used in maps. Look at the bottom corner of any map and it will show you how each distance on paper corresponds to a real life distance (in miles or kilometers maybe). Usually it shows a checkered "ruler" of sorts.