# Identifying missing coordinates of shapes

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## Lesson details

### Key learning points

1. In this lesson, we will find the missing coordinates for a vertex of a shape using knowledge of the other vertices.

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## Worksheet

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## Starter quiz

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### 5 Questions

Q1.
Which of the following happens when a shape is reflected by a line of reflection along the x-axis?
Correct answer: The reflected shape has the same x coordinate as the original shape
The reflected shape has the same y coordinate as the original shape
The shape is translated to the left
The shape is translated to the right
Q2.
If a shape is reflected by a line of reflection along the x axis then which of the following is correct?
Both the x and y coordinates of the reflected shapes must change
Both the x and y coordinates of the reflected shapes must stay the same
Correct answer: The x coordinate will definitely stay the same
The y coordinate will definitely stay the same
Q3.
If a triangle has the coordinates (1,3), (1,4), (2,3) and after a transformation becomes (1,-3), (1,-4) and (2,-3), which if the below have happened?
Correct answer: The triangle has been reflected onto the x-axis
The triangle has been reflected onto the y-axis
The triangle has been translated down
The triangle has been translated up
Q4.
If a triangle which has the coordinates (1,-1), (1,-3) and (3,-3) is reflected by a line of reflection along the y-axis, what will it's new reflected coordinates be?
(-1,1), (-1,3), (-3,3)
(-1,1), (1,3), (3,3)
(1,-1), (1,-3), (3,-3)
Q5.
A triangle with coordinates (-2,-2), (-2,-4) and (-4,-4) is reflected first by a line of reflection along the x-axis, and then reflected by a line of reflection along the y-axis, what will the new coordinates be?
(-2,2) (-2,4) (-4,4)
(2,2) (-2,4) (4,4)
(2,2) (2,4) (-4,4)

## Exit quiz

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### 5 Questions

Q1.
Which of the following statements is correct?
I must have all 4 coordinates of the vertices of a square
If I have 3 out of 4 coordinates of the vertices of the square, then I cannot find the last one
Correct answer: If I have any 3 out of 4 coordinates of the vertices of a square, then I can easily find the last one
If I have the coordinates of 1 of the vertices of a square, then I can find the coordinates of the remaining three vertices
Q2.
(5,4), (9,8) and (5,8) are the coordinates of three vertices of a square, what are the coordinates of the last?
(4,5)
(8,5)
(9,5)
Q3.
(1,-10), (9,-10) and (9,-4) are the coordinates of three vertices of a rectangle, what are the coordinates of the last?
(-4,10)
(1,-10)
(1,4)
Q4.
(-4,6) and (-2,8) are the coordinates of two vertices of a square, what are the coordinates of the remaining two vertices?
(-2,-6) (-4,-8)
(-4,-2) (6,8)
(2,6) (4,8)
Q5.
(7,6) and (13,3) are the coordinates of two vertices of a right angled triangle, what are the two possibilities of the coordinates of the third?
(13,-3) or (7,-6)
(7,13) or (13,6)
(7,3) or (0,0)