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In this lesson, we will learn how to apply translation of a point or a polygon and deduce the magnitude and the direction of translation.

Q1:

Hannah wants to change the location of her rectangular desk. If she moves it only by a translation, will it fit exactly into one of the other corners of the room?

Q2:

A triangular sign with vertices shown in the given table was moved. If the new coordinates for the first two vertices are ( 7 , 2 ) and ( 3 , 2 ) , determine the new coordinates for the third vertex.

Q3:

A triangular sign with vertices shown in the given table was moved. If the new coordinates for the first two vertices are ( 9 , 5 ) and ( 5 , 1 2 ) , determine the new coordinates for the third vertex.

Q4:

A triangular sign with vertices shown in the given table was moved. If the new coordinates for the first two vertices are ( 3 , 4 ) and ( 5 , 4 ) , determine the new coordinates for the third vertex.

Q5:

A triangular sign with vertices shown in the given table was moved. If the new coordinates for the first two vertices are ( 2 , 6 ) and ( 6 , 1 0 ) , determine the new coordinates for the third vertex.

Q6:

A triangular sign with vertices shown in the given table was moved. If the new coordinates for the first two vertices are ( 1 4 , 1 2 ) and ( 1 3 , 5 ) , determine the new coordinates for the third vertex.

Q7:

Two points π΄ and π΅ have coordinates (7, 2) and (7, 5) respectively. π΄ π΅ is translated three right and two down to π΄ π΅ β² β² .

Determine the coordinates of π΄ β² and π΅ β² .

Is the length of π΄ π΅ greater than, less than, or equal to the length of π΄ β² π΅ β² ?

Q8:

A triangular table was positioned with its corners at the coordinates ( 2 , 4 ) , ( 0 , 6 ) , and ( 1 , 1 ) . It was later moved to new coordinates ( 0 , 8 ) , ( β 2 , 1 0 ) , and ( β 1 , 5 ) . Describe the translation.

Q9:

A triangular table was positioned with its corners at the coordinates ( 2 , 3 ) , ( 5 , 1 ) , and ( 7 , 5 ) . It was later moved to new coordinates ( 6 , 5 ) , ( 9 , 3 ) , and ( 1 1 , 7 ) . Describe the translation.

Q10:

A triangular table was positioned with its corners at the coordinates ( 7 , 4 ) , ( 4 , 6 ) , and ( 1 , 3 ) . It was later moved to new coordinates ( 1 1 , 6 ) , ( 8 , 8 ) , and ( 5 , 5 ) . Describe the translation.

Q11:

A triangular table was positioned with its corners at the coordinates ( 4 , 5 ) , ( 7 , 1 ) , and ( 5 , 7 ) . It was later moved to new coordinates ( 2 , 9 ) , ( 5 , 5 ) , and ( 3 , 1 1 ) . Describe the translation.

Q12:

A triangular table was positioned with its corners at the coordinates ( 4 , 6 ) , ( 0 , 5 ) , and ( 3 , 4 ) . It was later moved to new coordinates ( 5 , 1 0 ) , ( 1 , 9 ) , and ( 4 , 8 ) . Describe the translation.

Q13:

A line segment with a length of 5 is translated three left and two down. What is the length of its image?

Q14:

Two intersecting lines are translated three left and eleven right. Is it possible for the images of the two lines to be parallel?

Q15:

Triangle π΄ π΅ πΆ has been translated to obtain triangle π΄ π΅ πΆ β² β² β² as seen in the given figure. Work out the perimeter of the triangle π΄ π΅ πΆ . Give your solution accurate to two decimal places.

Q16:

In the given figure, π΄ π΅ πΆ π· is a square, and all the interior squares are congruent. Find the image of π΄ πΈ after a translation of 3 cm in the direction of ο« πΊ π .

Q17:

In the given figure, π΄ π΅ πΆ π· is a square, and all the interior squares are congruent. Find the image of πΊ πΏ after a translation of 4.3 cm in the direction of ο« πΎ πΉ .

Q18:

Describe the single transformation that would map triangle π΄ π΅ πΆ onto triangle π΄ β² π΅ β² πΆ β² in the given figure.

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