Triangle ABC reflected in the y axes so that the image of triangle ABC is triangle A^ prime B^ prime C . Which of the following statements are true about any reflection ?

Option D.

Step-by-step explanation:

It is given that triangle ABC reflected in the y axes so that the image of triangle ABC is triangle A'B'C'.

Let A(a,b) and B(c,d). So, after reflection A'(-a,b) and B'(-c,d).

Using distance formula,

So,

We know that reflection is rigid transformation, it means figure and its image must be congruent.

If triangle ABC is read clockwise, then after reflection triangle A'B"C' is read anticlockwise.

Since statements I, II and IV are true, therefore the correct option is D.

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: