Geometry, NAPX-E4-CA28 SA, NAPX-E3-CA31 SA
Question
Darrell put 4 points on a grid and labelled them V to Y, as shown on the diagram below.
Point V is 56 millimetres from point X.
Darrell adds a fifth point, Z so that the arrangement of points has one line of symmetry.
How far is point Z from point Y?
Worked Solution
V to X = 8 grid widths
⇒ 1 width = 856 = 7 mm
∴ Distance of Z to Y
= 4 × 7
= {{{correctAnswer0}}} {{{suffix0}}}
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
Variant 0
DifficultyLevel
708
Question
Darrell put 4 points on a grid and labelled them V to Y, as shown on the diagram below.
Point V is 56 millimetres from point X.
Darrell adds a fifth point, Z so that the arrangement of points has one line of symmetry.
How far is point Z from point Y?
Worked Solution
V to X = 8 grid widths
⇒ 1 width = 856 = 7 mm
∴ Distance of Z to Y
= 4 × 7
= 28 mm
Question Type
Answer Box
Variables
| Variable name | Variable value |
| correctAnswer0 | |
| prefix0 | |
| suffix0 | |
Answers
Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)
For example:
correctAnswer: 123.40
And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5
| correctAnswerN | correctAnswerValue | Answer |
| correctAnswer0 | 28 | |