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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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