I don't know what the first two blanks are asking for, but the last one should be Alternate Exterior Angles Property of Congruence (AEAPC).
Answer:
y = -3x +9
Step-by-step explanation:
13,632 ÷ 48 equals to 284
Let's start with a picture.
We see RST is smaller, and BC is parallel to but in the opposite direction to its corresponding segment ST. Both have slope -1.
If we look at the difference of points (technically called vectors but we don't have to go there) we get
C-B=(-2,2)
T-S=(1,-1)
Without further calculation we can see T-S is half the length of C-B.
The problem asks for a dilation followed by a reflection. We know the dilation scale is k=1/2 because the new triangle is half the size.
After dilation we get A'B'C':
A'(3,2), B'(-1,0), C'(-2,1)
We see now we need a reflection that flips the coordinates x and y. That's the +45° line through the origin, namely y=x.
Answer: k=1/2, y=x
Given:
two pieces of wood that are 5 feet long each.
form a triangle with a perimeter of a whole number.
third side the triangle will be the house
Since two sides are already of the same length, he can create an isosceles triangle.
An isosceles triangle has two equal sides and two equal angles.
Assuming that the 3rd side is also 5 feet long, then, he can create an equilateral triangle.
An equilateral triangle has three equal sides and three equal angles, measuring 60° each angle.
