Which sequence of transformations does not preserve distance and angle? rotation and reflection translation and reflection rotation and dilation

C. Rotation and dilation.

Step-by-step explanation:

We are asked to choose the sequence of transformations that does not preserve distance and angle from our given choices.

Since we know that preserving distance means if the length of a segment is 5 units, then it will be 5 units after the transformation. Preserving angle means that if the measure of an angle is x degrees, then it will be x degrees after the transformation as well.

The transformations that preserve distance and angle are known as rigid transformations. Translation, rotation and reflection are rigid transformation, while dilation is non rigid transformation.

Therefore, rotation and dilation will not preserve distance and angle as dilation enlarges or compresses a figure.

the least common denominator is 40

answer: c, the green line

step-by-step explanation:

there is no black line, eliminate b.

simple interest implies periodic payments, but the red line shows no payments, eliminate d.

simple interest has equal payments. if paid say every day, the graph is about a straight line (actually a stairstep).

the yellow line is not straight, eliminate a.

check: the green line is straight, answer is c.

simple interest with positive interest rate gives a straight line sloping up to the right. green line:

g(t) = $100 + ($200-$100) ÷ (20 years) × (t years)

= $100 + (4%/year) × ($100)(t years)

incidentally, the yellow line curving upward represents continuously compounded interest

y = $100 × 2^(t years / (14 assuming the yellow line hits $200 at 14 years. 2^0 is 1, so y(0) = $100; 2^(14/14) is 2, so y(14) = $200.