Starter quiz
Match the coordinate to the quadrant where it can be found.- A⇔(−3,1) ✓
- B⇔(3,1) ✓
- C⇔(−3,-1) ✓
- D⇔(3,−1) ✓
What is the coordinate that has been plotted on the grid?- (2,−1)
- (1,2)
- (−1,2) ✓
- (1−2)
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- Can a rectangle and a square be congruent to each other?
- Yes, as long as their side lengths are the same as each other. ✓
- Yes, as long as they have the same area. ✓
- No, because two congruent shapes must be identical.
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- Which other number on a number line showing positive and negative numbers would be the same distance from zero as 5?
- 3
- −4
- −5 ✓
- −10
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- Which of these is closest in meaning to ‘vertex’?
- Side of a shape
- Corner of a shape ✓
- Area of a shape
- Perimeter of a shape
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- Which of these best describes a trapezium?
- No pairs of parallel sides.
- One pair of parallel sides. ✓
- One pair of perpendicular sides.
- Two pairs of parallel sides.
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Exit quiz
Which of these correctly shows the reflection of the unshaded shape in the y-axis?- 'C' ✓
- Which of these correctly shows the reflection of the unshaded shape in the x-axis?
- 'A' ✓
- One of the vertices of a shape is (−4,1). If the shape is reflected in the y-axis, what is the coordinate of the reflected vertex?
- (1,−4)
- (4,1) ✓
- (4,−1)
- (1,−4)
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- One of the vertices of a shape is (−4,1). If the shape is reflected in the x-axis, what is the coordinate of the reflected vertex?
- (−4 −1) ✓
- (4,1)
- (4 −1)
- (1,−4)
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- One of the vertices of a shape is (−4,1). If the shape is reflected in both axes, what is the coordinate of the reflected vertex?
- (1,−4)
- (4,1)
- (4,−1) ✓
- (1,−4)
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- One of the vertices of a shape is (−4,0). If the shape is reflected in both axes, what is the coordinate of the reflected vertex?
- '(4,0)' ✓
Worksheet
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Presentation
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Lesson Details
Key learning points
- When reflecting a shape in the axes, the reflection and original shape should be the same distance from the axis.
- The shape remains the same size and shape after it has been reflected.
- If you put a mirror on the axis, the new shape will look the same as the original shape.
Common misconception
One of the most common mistakes pupils make when reflecting is to flip the shape. Essentially, they translate the shape rather than reflecting it.
Attention is given at the start of the lesson to examples and non-examples of reflections, including the above misconception. Use real mirrors and ask pupils to reflect objects in them, noticing the direction in which the reflection is facing.
Keywords
Reflect - A reflection is an image or shape as it would be seen in a mirror.
Axes - The x and y lines that cross at right angles to make a graph or grid are called axes, which is the plural of axis.
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