Understanding Translations in Geometry

The video tutorial explains the concept of translations in coordinate geometry. It begins by introducing translations and how to interpret given points. The tutorial then details how to determine the movement of X and Y coordinates, using examples to illustrate the process. It concludes with a practical example of translating a point by adding given values to the original coordinates, resulting in a new point.

What is the first step in understanding a translation problem?

• Finding the area

• Calculating the slope

• Looking at the given point coordinates

• Identifying the midpoint

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CCSS.8.G.A.3

CCSS.HSG.CO.A.5

In a translation, if the X coordinate is negative, which direction does it move?

• Down

• Up

• Left

• Right

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CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What does a positive Y coordinate indicate in a translation?

• Movement to the left

• Movement downwards

• Movement to the right

• Movement upwards

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CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Why is it important to use an apostrophe in translated points?

• To indicate the original point

• To highlight the axis

• To denote the translated copy

• To show the midpoint

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CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What does a translation of 12, 32 mean for the original point?

• The point moves 12 units left and 32 units down

• The point remains unchanged

• The point moves 12 units right and 32 units up

• The point moves 12 units up and 32 units right

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CCSS.8.G.A.3

CCSS.HSG.CO.A.5

How do you calculate the new X coordinate after a translation?

• Add the change to the original X

• Multiply the change with the original X

• Divide the change by the original X

• Subtract the change from the original X

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CCSS.3.MD.A.2

If the original Y coordinate is -15 and the change is 32, what is the new Y coordinate?

• 17

• -17

• 47

• -47

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CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What is the final new point after a translation of 12, 32 from the original point 23, -15?

• (11, -17)

• (35, -17)

• (11, 17)

• (35, 17)

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CCSS.8.G.A.3

CCSS.HSG.CO.A.5