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In this lesson, we will learn how to identify different geometric transformations.

Q1:

What kind of transformation is shown in the figure?

Q2:

What kind of transformation has been applied?

Q3:

Q4:

Q5:

Q6:

Q7:

What type of geometrical transformation has been applied to the quadrilateral π΄ π΅ πΆ π· ?

Q8:

A figure is mapped two units to the left and three units down. Which of the transformations has been used?

Q9:

What rotation about π will map π΄ π΅ onto πΆ π· ?

Q10:

Ramy saw the following sign. Is the second a translation, reflection, or rotation of the first ?

Q11:

Which type of transformation is shown?

Q12:

β ο© ο© ο© ο© β π΄ π΅ has been dilated from the center πΆ .

What do you notice about the distance from the point πΆ to β ο© ο© ο© ο© β π΄ π΅ and the distance from the point πΆ to the image?

Hence, what is the scale factor of the dilation?

Q13:

Q14:

Determine whether the following transformation is a translation, reflection, or rotation.

Q15:

Q16:

Q17:

A triangle has vertices at the points π΄ ( 1 , 1 ) , π΅ ( 3 , 1 ) , and πΆ ( 1 , 3 ) . The image of this triangle under a transformation has vertices at the points π΄ β² ( β 1 , β 1 ) , π΅ β² ( β 1 , β 3 ) , and πΆ β² ( β 3 , β 1 ) . Which transformation has taken place?

Q18:

A transformation is applied to the triangle with vertices π΄ ( π₯ , π¦ ) , π΅ ( π₯ , π¦ + 2 ) , πΆ ( π₯ + 2 , π¦ ) . The image has vertices π΄ β² ( β π₯ , β π¦ ) , π΅ β² ( β π₯ , β π¦ β 2 ) , πΆ β² ( β π₯ β 2 , β π¦ ) . Which of the following transformations has taken place?

Q19:

The vertices of a triangle are mapped using the function ( π₯ , π¦ ) β ( π₯ , β π¦ ) . Which of the following single transformations has taken place?

Q20:

Which of the following transformations could be used to map π΄ to π· ?

Q21:

A transformation affects points on the π₯ π¦ -plane such that each point is mapped three units right and eight units down. Which transformation is this?

Q22:

If the parallelogram π΄ π΅ πΆ π· is transformed to π΄ β² π΅ β² πΆ β² π· β² as shown in the figure, determine whether this transformation is a translation, reflection, or rotation.

Q23:

Sameh drew a triangle on a graph by using the points , , and . He then flipped the triangle across the line that runs from to . What type of transformation did he perform? Where is the third vertex of the graph located now?

Q24:

Q25:

The vertices of a triangle are mapped using the function ( π₯ , π¦ ) β ( β π₯ , β π¦ ) . Which of the following single transformations has taken place?

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