Transformations
Grade 8: reflection in a line, rotation about a point, translation by a vector, enlargement and scale factor, congruent and similar shapes.
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Questions
When a point is reflected in the y-axis, which coordinate changes sign?
- Both coordinates
- Neither coordinate
- The x-coordinate
- The y-coordinate
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The x-coordinateThe point (2, 3) is reflected in the vertical line x = 4. Where is its image?
- (-2, 3)
- (2, 5)
- (3, 6)
- (6, 3)
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(6, 3)When a shape is reflected in a mirror line, its image is the same size as the original. (True or false?)
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TrueWhich statement is true for any point and its image in a reflection?
- Both are the same distance from the mirror line
- The image always lies on the mirror line
- The image is closer to the mirror line
- The image is twice as far from the mirror line
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Both are the same distance from the mirror lineWhich turn about a point is the same as a half turn?
- 180°
- 270°
- 360°
- 90°
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180°Point (3, 1) is rotated 90° anticlockwise about the origin (0, 0). Where does it land? (Answer out loud)
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(-1, 3)The centre of rotation is the one point that does not move. (True or false?)
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TrueTranslate the point (1, 2) by the vector (3, -4), where 3 is right and -4 is down. Result?
- (-2, 4)
- (-3, 6)
- (4, -2)
- (4, 6)
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(4, -2)A translation moves (5, 5) to (2, 9). What is the vector? (Answer out loud)
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(-3, 4)A rectangle 2 cm by 3 cm is enlarged by scale factor 4. What are its new sides?
- 4 cm by 6 cm
- 6 cm by 7 cm
- 8 cm by 12 cm
- 8 cm by 3 cm
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8 cm by 12 cmAn enlargement with a positive scale factor makes the image smaller. The scale factor is…
- between 0 and 1
- exactly 1
- greater than 1
- less than 0
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between 0 and 1After an enlargement with scale factor 3, every angle in the shape is multiplied by 3. (True or false?)
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FalseA line of length 15 cm is the image after enlarging by scale factor 5. What was the original length?
- 10 cm
- 20 cm
- 3 cm
- 75 cm
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3 cmWhich transformation can change the size of a shape?
- Enlargement
- Reflection
- Rotation
- Translation
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EnlargementTwo shapes are exactly the same shape and size. What word describes them? (Answer out loud)
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CongruentTwo similar triangles: a 4 cm side in the smaller matches 10 cm in the larger. Scale factor?
- 0.4
- 1.5
- 2.5
- 6
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2.5