Combining Translations and Reflections
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Lesson details
Key learning points
- In this lesson, we will explore combinations of translations and reflections.
Licence
This content is made available by Oak National Academy Limited and its partners and licensed under Oak’s terms & conditions (Collection 1), except where otherwise stated.
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5 Questions
Q1.
Fill in the gap: A combination of ________ can sometimes be described by a different single transformation.
operations
reflected
transformer
Q2.
Select the option that would best fill in the gaps in ORDER: Triangle A is reflected in the line M1 to give_____. A' is then _________ in the line M2 to give ______.
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707206001%2Feqrds91oxmrtzyunxcns.png&w=1080&q=75)
A' (middle triangle), translated, A''(furthest right triangle)
A'' (furthest right triangle), reflected , A' (middle triangle)
A'' (furthest right triangle), translated, A' (middle triangle)
Q3.
A could also be mapped to A'' by what vector translation?
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707206005%2Fnzvrsdbroarzmdpxy5xp.png&w=750&q=75)
A
B
C
Q4.
Triangle S is reflected in the y axis and then in x=-3. Describe the single transformation from S to the final image.
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707206030%2Fntbwwukjrztsdkkorfyl.png&w=640&q=75)
B
C
D
Q5.
A shape in the negative quadrant has been reflected in x=6 and then reflected in x=11. Describe the single vector translation that maps the object to the final image.
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707206037%2Fy0wk9fbccorkelafjmde.png&w=1920&q=75)
A
B
D
Not enough information to know
5 Questions
Q1.
Fill in the gap: We can combine a translation and a reflection by performing one ________________ after the other.
reflection
rotation
translation
Q2.
State the coordinate of Vertex A after being translated by the written vector.
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707165003%2Fa0jrxmwwsw6mlfwz8arr.png&w=640&q=75)
(-2 2)
(4, 0)
(4,4)
Q3.
State the coordinate of the vertex A when the triangle has been reflected in the given mirror line.
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707165005%2Fa409olvw4cvaflufsi3z.png&w=640&q=75)
(-4, -2)
(-5, -2)
(-5, 0)
Q4.
Decide if this statement is true or false: Translating then reflecting is always the same as reflecting then translating.
True
Q5.
Select ALL the transformations that would transform shape A into shape B.
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707157914%2Fkwzbva0rp2dhrukorkpl.png&w=640&q=75)
C
D