Describe the congruence transformation that maps ΔABC onto ΔA′B′C′ in the given figure. Question 9 options: A) Reflection along x-axis; Translation: (x, y) → (x, y – 3)

B) Reflection along y-axis; Translation: (x, y) → (x, y – 3)

C) Reflection along y-axis; Translation: (x, y) → (x, y + 3)

D) Reflection along x-axis; Translation: (x, y) → (x, y)

B) Reflection along y-axis; Translation: (x, y) → (x, y – 3)

Step-by-step explanation:

A transformation is the movement of a point from its initial position to a new position. If an object is transformed, all its points are also transformed. Types of transformation are dilatation, rotation, reflection and translation.

The point of triangle ABC are A(-4, 4), B(-7, 1) and C(-3, -2) while for triangle A'B'Ç' is at A'(4, 1), B'(7, -2) and C'(3, -5)

If a point C(x, y) is reflected along y axis, the y coordinates is the same and the x coordinate is opposite (negated), i.e C'(-x, y). If a point C(x, y) is translated 3 units down, the new point is (x, y - 3).

ΔABC transformation to ΔA'B'C', the x coordinate is opposite and the y coordinate is 3 units downward, therefore this is a Reflection along y-axis; Translation: (x, y) → (x, y – 3)

step-by-step explanation: so we look at the formula un = a + (n-1)d

un is the amount of seats

n is the nth term aka row number

a is the original sequence/row number

d is the difference between each term

so in this a=22 d=6 and n can remain as n because we are simply formjng a rule

lets put these in the equation

un=22+(n-1)(6)

this is your answer to part a

however

lets double check that this is correct, we'll try putting it into the second term

un=a+(n-1)d

u2=22+(2-1)(6)

u2=22+6

u2=28

as the question said the second row has 28 seats so now we know the formula we made is correct.

as for part b

un=a+(n-1)

its asking us to find a row with 100 seats.

remember un was the amount of seata so all we do is substitute this in.

un=100 a=22 d=6

un=a+(n-1)d

100=22+(n-1)(6)

so now we simplify to find n which is the row number.

100-22=22+(n-1)(6)-22

78=(n-1)(6)

78/6=(n-1)(6)/6

13=n-1

13+1=n-1+1

14=n

so now we know that in the 14th row there is 100 seats.

hope this and that you understood! its my first time using the app or anyone out on here : p its also me to revise so a bunch! ask more questions if you dont understand ☺

step-by-step explanation:

what is the figure? attach a picture.