Review the key concepts, formulae, and examples before starting your quiz.
🔑Concepts
Perspective Views: Objects look different depending on the direction from which you look at them. The three primary directions are from the top, from the front, and from the side. For example, a shoe looks like a long shape from the side, but from the top, you only see the opening for the foot and the laces.
The Top View: This is what you see when looking down at an object from above. A pressure cooker from the top looks like a simple circle with a handle sticking out. A table from the top looks like a plain rectangle with no legs visible.
The Front View: This is the view from the front of an object. For a car, the front view shows the headlights and the windshield. A house from the front view usually looks like a large square with a door, topped by a triangle representing the roof.
The Side View: This is the view from the side. For a staircase, the side view is very distinct, appearing as a 'zig-zag' line or a series of steps. However, from the front, a staircase might just look like a flat rectangle with horizontal lines.
Mirror Halves and Symmetry: An object has mirror halves if it can be divided into two identical parts by a dotted line. If you place a mirror on the line, the reflection completes the whole picture. For example, the letter has a vertical line of symmetry, whereas the letter does not.
Dot Grid Patterns: A grid of dots can be used to create shapes and patterns (Rangoli). To draw a square on a dot grid, you connect an equal number of dots horizontally and vertically, such as dots across and dots down, forming a closed shape.
Visual Transformations: Moving your position changes the perceived shape. A pencil looks like a small circle when viewed from the top (the eraser end) but looks like a long, thin rectangle from the side view.
📐Formulae
(Top, Front, Side)
(Mirror Reflection)
💡Examples
Problem 1:
Look at a drawing of a bus where you can only see the rectangular front glass and two headlights. Which view is this?
Solution:
This is the Front View.
Explanation:
In a front view, we see the face of the object. For a bus, this includes the windshield and the headlights, while the long sides and the roof are hidden from this specific angle.
Problem 2:
Determine if the letter has a horizontal mirror half.
Solution:
Yes, if the line is drawn horizontally through the middle.
Explanation:
If we draw a horizontal line through the center of the letter , the top half and the bottom half are identical mirror images of each other. Therefore, it has a horizontal line of symmetry.