Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

geometry do now part one: translations - each coordinate plane below sh…

Question

geometry do now
part one: translations - each coordinate plane below shows a preimage and its translated image.
write a sentence to describe each translation. the first problem has been completed for you.
triangle jkl was translated 4 units to the right
and 2 units up to form triangle jkl.

Explanation:

Step1: Analyze the horizontal movement

For each point (e.g., \(D(-4,7)\) to \(D'(-4,3)\), \(E(-2,4)\) to \(E'(-3,0)\), \(F(-7,5)\) to \(F'(-7,2)\)), calculate the change in the \(y -\)coordinate. For \(D\): \(7 - 3=4\) (downward).

Step2: Analyze the vertical movement

Calculate the change in the \(x -\)coordinate. For \(E\): \(-2-(-3) = 1\) (no horizontal movement as \(x\) - coordinate changes by \(0\) for \(D\) and \(F\) in terms of net horizontal shift considering the whole figure.

Answer:

Triangle \(DEF\) was translated \(4\) units down to form triangle \(D'E'F'\).