Lengths and angles

Lengths and angles

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This task is about what happens to lengths and angles under enlargement.

In this diagram shape X has been enlarged by a scale factor of 3 to create shape Y.
Use the diagram to answer the following questions.

Question

a)  The lengths of each side of shape Y are all ...
    • smaller than the sides in shape X.

    • the same as the sides in shape X.

    • 3 times as long as the sides in shape X.

    • 6 times as long as the sides in shape X.

    • 9 times as long as the sides in shape X.

Question

b)  The angles in shape Y are ...
    • all smaller than the angles in shape X.

    • all the same as the angles in shape X.

    • all bigger than the angles in shape X.

    • sometimes smaller and sometimes the same as the angles in shape X.

    • sometimes bigger and sometimes the same as the angles in shape X.

Task administration: 
This task can be completed online and has auto marking displayed to students.
Level:
4
Description of task: 
Students identify invariant properties for enlargement.
Learning Progression Frameworks
This resource can provide evidence of learning associated with within the Mathematics Learning Progressions Frameworks.
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Answers/responses: 
   

Y8 (06/1998)

a) C - 3 times as long as the sides in shape X (length). very easy
b) B - all the same as the angles in shape X (angles). moderate
Diagnostic and formative information: 
  Common error Likely calculation
b) C - all bigger than the angles in shape X. Incorrect idea on angles. Sees bigger angles on bigger shapes.