Answer:
<u>Triangle ABC and triangle MNO</u> are congruent. A <u>Rotation</u> is a single rigid transformation that maps the two congruent triangles.
Step-by-step explanation:
ΔABC has vertices at A(12, 8), B(4,8), and C(4, 14).
- length of AB = √[(12-4)² + (8-8)²] = 8
- length of AC = √[(12-4)² + (8-14)²] = 10
- length of CB = √[(4-4)² + (8-14)²] = 6
ΔMNO has vertices at M(4, 16), N(4,8), and O(-2,8).
- length of MN = √[(4-4)² + (16-8)²] = 8
- length of MO = √[(4+2)² + (16-8)²] = 10
- length of NO = √[(4+2)² + (8-8)²] = 6
Therefore:
and ΔABC ≅ ΔMNO by SSS postulate.
In the picture attached, both triangles are shown. It can be seen that counterclockwise rotation of ΔABC around vertex B would map ΔABC into the ΔMNO.
Answer:
y = 4x - 19
Step-by-step explanation:
The line is parallel to the line whose equation is;
y = 4x + 1
Parallel lines have the same slope so the slope of our line is 4.
The line passes through point (5,1)
Slope = change in y ÷ change in x
Taking another point (x,y) on the line,
Slope = 
= 4
y - 1 = 4x - 20
y = 4x - 19
Try looking it up becaus hard to understand
0-7+3=-4 because a negative and a positive make the negative go down
Answer:
c
Step-by-step explanation:
Rewrite equations:
y=x+4;−2x+y=−1
Step: Solvey=x+4for y:
y=x+4
Step: Substitutex+4foryin−2x+y=−1:
−2x+y=−1
−2x+x+4=−1
−x+4=−1(Simplify both sides of the equation)
−x+4+−4=−1+−4(Add -4 to both sides)
−x=−5
−x
−1
=
−5
−1
(Divide both sides by -1)
x=5
Step: Substitute5forxiny=x+4:
y=x+4
y=5+4
y=9(Simplify both sides of the equation)
