Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.

In this lesson, we will learn how to identify an image, an object, and a mirror line and apply this knowledge in various situations.

Q1:

Given that vertices π½ ( β 8 , 8 ) , πΎ ( 3 , β 9 ) , and πΏ ( β 3 , 5 ) form a triangle, without graphing, determine their coordinates after a reflection over the π₯ -axis first and then over the π¦ -axis.

Q2:

The given figure shows triangle π΄ β² π΅ β² πΆ β² after a reflection in the π₯ -axis. Determine the original coordinates of point πΆ .

Q3:

The given figure shows triangle π΄ β² π΅ β² πΆ β² after a reflection in the π¦ -axis. Determine the original coordinates of point π΄ .

Q4:

π΄ π΅ πΆ π· is a rectangle, and the point πΆ β² is the reflection of πΆ in β ο© ο© ο© ο© β π΄ π΅ . If π β πΆ π΄ π΅ = 7 1 β , what is π β πΆ β² π΄ πΆ ?

Q5:

Suppose that π β 0 . What is the relation between lines π¦ = π π₯ + π and π¦ = οΌ 1 π ο π₯ + π ?

Q6:

What are the coordinates of the reflection, in the line π₯ = 2 , of the point ( β 5 , 9 ) ?

Q7:

The graph of a function π ( π₯ ) is transformed by mapping each point on the function ( π₯ , π¦ ) to the point ( π¦ , π₯ ) . This image is a reflection of π ( π₯ ) in .

Q8:

A rectangle π΄ π΅ πΆ π· is reflected in β ο© ο© ο© ο© ο© β π΄ π· and a larger rectangle is formed by joining π΄ π΅ πΆ π· and its reflection. Given that π΄ π΅ = 8 4 c m and πΆ π΅ = 4 7 c m , find the perimeter of the larger rectangle.

Q9:

The point ( 3 , 5 ) is reflected to the point ( 3 , 7 ) . Was the line of reflection horizontal or vertical?

Q10:

Points and have coordinates and respectively. Given that is the image of after a reflection in the -axis, find the perimeter of .

Q11:

In the figure, π΄ π΅ πΆ π· is a square with centre πΏ . Find the image of the square π΄ πΈ πΏ πΊ after a reflection in β ο© ο© ο© ο© ο© β πΊ π» .

Q12:

Given that β³ π΄ β² π΅ β² πΆ β² is the image of β³ π΄ π΅ πΆ after a reflection in the line π , give the coordinates of π΄ β² , π΅ β² and πΆ β² .

Q13:

Points ( 2 , 4 ) , ( 6 , 0 ) , ( 8 , 3 ) , ( 8 , 7 ) , ( 6 , 8 ) , and ( 3 , 7 ) are the vertices of a polygon. List their images after a reflection in the vertical line through ( 1 1 , 0 ) .

Q14:

What is the image of the point ( 9 , 8 ) under reflection in the straight line π¦ = π₯ ?

Q15:

The image of the point π΄ ( 5 , β 3 ) is π΄ β² ( 3 , β 5 ) when reflected in a line. Find the equation of the line of reflection.

Q16:

Across which line has β³ π΅ πΈ πΉ been reflected to get β³ π΄ πΈ πΉ ?

Q17:

If πΆ π· is the image of π΅ π΄ by reflection in the point π , π΄ π΅ = ( 2 π₯ + 4 ) c m , πΆ π· = ( π₯ + 8 ) c m , π β π΅ π΄ π· = ( 1 1 π¦ ) β and π β π΄ π· πΆ = 4 4 β , find the length of πΆ π· and the value of π¦ .

Q18:

Find the image of β³ π΄ πΊ πΏ by reflection in β ο© ο© ο© ο© β π΄ πΆ .

Q19:

What type of transformation is the following?

Donβt have an account? Sign Up