A pictorial drawing shows three faces at once. Isometric, oblique and perspective are not the same method.
The idea
Isometric drawing uses three axes. One is vertical. The other two are at 30 degrees to the horizontal. The same scale is used on all three axes, so a length along an axis is the true length. A circle on a face becomes an ellipse. There is no vanishing point. Lines that are parallel on the object stay parallel on the drawing. That is how you can tell it from perspective, where parallel edges that recede meet at a vanishing point.
Oblique drawing keeps one face as the true shape, usually the front. The receding edges are commonly drawn at 45 degrees. Cavalier oblique uses the full depth on those edges. Cabinet oblique uses half the depth, so the object looks less stretched. Choose cabinet when the depth would look too long at full scale. Perspective is a different system: edges that go back converge. Do not call an isometric box a perspective drawing because it looks solid. Name the method, the angles, and whether the scale on the depth is full or half.
The Technical Drawing tips guide sets out the objective paper, the geometry paper including vector geometry, and the drawing paper. Start practising on glearn.now with Kevin and Anna. WASSCE Technical Drawing tips
What earns the marks
Thirty degrees is the isometric angle to the horizontal, not 45. Forty five degrees is the usual oblique angle. Isometric uses one scale on every axis. Cabinet oblique halves the depth. A vanishing point belongs to perspective. If the question says isometric, a front face in true shape is the wrong method: that is oblique. An ellipse, not a circle, is the isometric view of a circle.
Practice questions
These are practice questions in the style of the paper, with a model answer and a mark scheme. They are not a promise of what your paper will ask.
1Question 1
3 marks
State the angles of the axes in an isometric drawing, and the scale used on them. (3 marks)
Model answer
One axis is vertical. The other two are at 30 degrees to the horizontal. The same scale is used on all three axes.
Mark scheme
A vertical axis1 mark
The other axes at 30 degrees to the horizontal1 mark
The same scale on all three axes1 mark
2Question 2
2 marks
Distinguish cavalier oblique from cabinet oblique. (2 marks)
Model answer
Both keep a true front face. Cavalier draws the depth at full scale. Cabinet draws the depth at half scale.
Mark scheme
Cavalier uses the full depth1 mark
Cabinet uses half the depth1 mark
3Question 3
2 marks
Why is an isometric drawing not a perspective drawing? (2 marks)
Model answer
In isometric, parallel edges stay parallel and there is no vanishing point. In perspective, receding parallel edges meet at a vanishing point.
Mark scheme
Isometric keeps parallel edges parallel, or has no vanishing point1 mark
Perspective makes receding edges meet at a vanishing point1 mark
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More questions on this topic are inside glearn, marked as you answer, with the reason written out. The first ones need no account.
What angle do the isometric axes make with the horizontal?+
Thirty degrees, with one axis vertical. The scale is the same on all three axes. Forty five degrees is the usual angle for an oblique drawing, not for isometric.
What is cabinet oblique?+
An oblique drawing whose front face is the true shape, with the receding depth drawn at half scale. Cavalier oblique uses the full depth. Half scale stops the object looking stretched. All WASSCE Technical Drawing past questions