Aussie Maths & Science Teachers: Save your time with SmarterEd
`ABCD` is a rectangle.
A line is drawn through the point where the two diagonals intersect.
Two triangles are then shaded.
What fraction of the rectangle is shaded?
`Delta BOF ≡ Delta DOE\ \ text{(AAS)}`
`Delta AOD\ text(is)\ 1/4\ text(of the area rectangle)\ ABCD`
`text{(diagonals of a rectangle cut it into}`
`text{4 triangles of equal area)}`
`:.\ text(Fraction is)\ 1/4.`
Which of these are always equal in length?
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the diagonals of a rhombus |
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the diagonals of a parallelogram |
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the opposite sides of a parallelogram |
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the opposite sides of a trapezium |
`text(The opposite sides of a parallelogram are always equal.)`
A closed shape has two pairs of equal adjacent sides.
What is the shape?
| `text(rectangle)` | `text(trapezium)` | `text(kite)` | `text(triangle)` |
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The diagonals of which shape below cross at right-angles?
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`text(A rhombus has diagonals that)`
`text(cross at right–angles.)`
Three corners of a parallelogram are drawn below.
Which point below is the fourth corner?
| `(3,1)` | `(1,4)` | `(2,3)` | `(1,3)` |
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`PQRS` is a parallelogram.
Which of these must be a property of `PQRS`?
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Line `PS` is perpendicular to line `PQ`. |
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Line `PQ` is parallel to line `PS`. |
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Diagonals `PR` and `SQ` are perpendicular. |
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Line `PS` is parallel to line `QR`. |
Which statement is always true?
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Scalene triangles have two angles that are equal. |
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All angles in a parallelogram are equal. |
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The opposite sides of a trapezium are equal in length. |
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The diagonals of a rhombus are perpendicular to each other. |