If a series of rigid transformations maps ∠F onto ∠C where ∠F is congruent to ∠C, then which of the following statements is true? ΔABC ~ ΔFDE because of the definition of similarity in terms of similarity transformations

ΔABC ~ ΔFDE because of the AA similarity postulate

segment BC ~ segment EF because of the definition of similarity in terms of similarity transformations

segment BC ~ segment EF because corresponding parts of similar triangles are similar

If the discriminant if a quadratic equation is 4 which statement describes the roots?

A. plot the data for the functions f(x) and g(x) on a grid and connect the points. x -2 -1 0 1 2 f(x) 1/9 1/3 1 3 9 x -2 -1 0 1 2 g(x) -4 -2 0 2 4 b. which function could be described as exponential and which as linear? explain. c. if the functions continue with the same pattern, will the function values ever be equal? if so, give estimates for the value of x that will make the function values equals. if not, explain why the function values will never be equal.

You have a square piece of cardboard that measures 14 inches on each side. to build a box, you cut congruent squares out of each corner of the cardboard. use the picture to find the area of the cardboard you were used to build the box