Properties of Translations in Geometry

What is a transformation in the context of geometry?

• A function describing a change in a figure's position, size, or shape

• A method to calculate area of shapes

• A type of geometric proof

• A formula for solving algebraic equations

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CCSS.HSG.CO.A.2

Which of the following is NOT a type of transformation?

• Rotation

• Translation

• Subtraction

• Reflection

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CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What does the term 'pre-image' refer to in transformations?

• The final figure after transformation

• The original figure before transformation

• The formula used for transformation

• The graph on which transformation is performed

Tags

CCSS.HSG.CO.A.2

In a translation, how is the figure moved?

• With a flip and rotation

• Along a straight line without rotation

• In a circular motion

• Along a curved path

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CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What is the result of translating point A five units left and three units up?

• A'

• A

• A''

• None of the above

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CCSS.8.G.A.3

CCSS.HSG.CO.A.5

How do you label a point after it has been translated?

• With a subscript (e.g., A1)

• With a double prime symbol (e.g., A'')

• With a prime symbol (e.g., A')

• With the original label

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CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What does the rule 'x, y goes to x+2, y-4' imply in a translation?

• Move right 2 units and down 4 units

• Move left 2 units and down 4 units

• Move left 2 units and up 4 units

• Move right 2 units and up 4 units

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CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What should be used to ensure lines are drawn straight when graphing translations?

• A ruler or another straight edge

• A protractor

• Freehand drawing

• A compass

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CCSS.8.G.A.3

CCSS.HSG.CO.A.5

How do you determine the translation rule from a transformed figure?

• By calculating the area of the figures

• By using a set of predefined rules

• By guessing the likely movements

• By measuring the distance and direction each point has moved

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CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What is the goal of learning about translations in geometry?

• To memorize different geometric shapes

• To understand the properties of translations and apply translation rules

• To solve complex algebraic equations

• To learn about historical figures in geometry

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CCSS.8.G.A.3

CCSS.HSG.CO.A.5