Kim performed a transformation on rectangle abcd to create rectangle a'b'c'd', as shown in the figure below:
what transformation did kim perform to create rectangle a'b'c'd'?
rotation of 270 degrees counterclockwise about the origin
reflection across the line of symmetry of the figure
reflection across the y-axis
rotation of 90 degrees counterclockwise about the origin

answer:

option a is correct.

rotation of 270 degrees counterclockwise about the origin

step-by-step explanation:

the rule of rotation 270 degrees counterclockwise about the origin is given by:

from the figure:

the coordinates of rectangle abcd are

a(-1, 2),   b(-1, 5), c(-3, 5) and d(-3, 2)

the coordinated of rectangle a'b'c'd' are

a'(2, 1),   b'(5, 1), c'(5, 3) and d'(2, 3)

these points are in the form of

therefore, the transformation did kim perform to create rectangle a'b'c'd' is:

rotation of 270 degrees counterclockwise about the origin

answer: i am pretty sure it is

reflection across the line of symmetry of the figure

i hope this

hello,

b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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