Question Video: Describing Transformations Mathematics • 8th Grade

Describe the single transformation that would map triangle š“šµš¶ onto triangle š“ā€²šµā€²š¶ā€² in the given figure.

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Video Transcript

Describe the single transformation that would map triangle š“šµš¶ onto triangle š“ prime šµ prime š¶ prime in the given figure.

Triangle š“šµš¶ is found here. Triangle š“ prime šµ prime š¶ prime is found here. So triangle š“šµš¶ was moved onto triangle š“ prime šµ prime š¶ prime. This was the new spot. This is where it was. Weā€™ll say old. And this is where it is now. So weā€™ll say new.

So to decide that, letā€™s look at the points. How would we have got in from š“ to š“ prime? Well, we can simply count how many spaces will we have to move: one, two, three, four, five, six, seven, so seven units right and one, two units down. Now, this should be uniform throughout the whole triangle.

So to get from šµ to šµ prime, we should have to do the exact same thing, seven units right and two units down. And now, letā€™s check š¶ to š¶ prime, seven units right and two down.

So this will be our single transformation. And moving like this is called a translation. Itā€™s like sliding. The triangle wasnā€™t flipped upside down or rotated. It was simply just shifted.

Therefore, our final answer will be a translation seven right and two down.

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