Podcast
Questions and Answers
What is the name for lines that never intersect?
What is the name for lines that never intersect?
Parallel lines
What is the name for lines that cross each other?
What is the name for lines that cross each other?
Intersecting lines
What is the angle formed where perpendicular lines meet?
What is the angle formed where perpendicular lines meet?
90 degrees
What is the line called that divides a 2D shape into two identical halves?
What is the line called that divides a 2D shape into two identical halves?
What is the name of the 3D view that shows what an object looks like when viewed directly from above?
What is the name of the 3D view that shows what an object looks like when viewed directly from above?
What is the name of the 3D view that shows what an object looks like when viewed directly from the front?
What is the name of the 3D view that shows what an object looks like when viewed directly from the front?
What are the coordinates of the origin?
What are the coordinates of the origin?
What is a transformation that 'flips' a shape over a line?
What is a transformation that 'flips' a shape over a line?
What is a transformation that turns a shape around a fixed point?
What is a transformation that turns a shape around a fixed point?
What is a transformation that slides a shape without rotating or reflecting it?
What is a transformation that slides a shape without rotating or reflecting it?
In coordinate geometry, what does the x-coordinate represent?
In coordinate geometry, what does the x-coordinate represent?
What is a scaled copy that is larger than the original?
What is a scaled copy that is larger than the original?
What is the name for a pattern that repeats itself?
What is the name for a pattern that repeats itself?
A square has how many lines of symmetry?
A square has how many lines of symmetry?
Does a scalene triangle have any lines of symmetry?
Does a scalene triangle have any lines of symmetry?
Does a rectangle have the same lines of symmetry as a square?
Does a rectangle have the same lines of symmetry as a square?
What do you call symmetry around a central point?
What do you call symmetry around a central point?
What is the smallest number of sides a polygon can have?
What is the smallest number of sides a polygon can have?
What is the name for a polygon that has 5 sides?
What is the name for a polygon that has 5 sides?
What is a 3D shape with a circular base and a single vertex called?
What is a 3D shape with a circular base and a single vertex called?
Flashcards
Parallel Lines
Parallel Lines
Lines that extend in the same direction and are always the same distance apart.
Intersecting Lines
Intersecting Lines
Lines that cross at a single point.
Perpendicular Lines
Perpendicular Lines
Lines that intersect at a right angle (90 degrees).
Axis of Rotational Symmetry
Axis of Rotational Symmetry
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Order of Rotational Symmetry
Order of Rotational Symmetry
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Plane of Symmetry
Plane of Symmetry
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Scaled Drawing
Scaled Drawing
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Scale Factor
Scale Factor
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Enlargement (Dilation)
Enlargement (Dilation)
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Reduction (Dilation)
Reduction (Dilation)
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Translation
Translation
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Reflection
Reflection
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Rotation
Rotation
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Study Notes
- Parallel lines never intersect.
- Intersecting lines cross each other at a point.
- Perpendicular lines intersect at a 90-degree angle.
Rotational Symmetry of 3D Objects
- Axis of rotational symmetry is the imaginary line around which an object can be rotated without changing its appearance.
- Order of rotational symmetry is the number of times an object looks the same during a full rotation.
Planes of Symmetry for 3D Objects
- A plane of symmetry divides an object into two identical halves.
Identifying Non-Cylinders, Non-Pyramids, and Non-Prisms
- Cylinders, pyramids, and prisms have specific geometric properties.
- Identifying why an object does not match these properties is key.
Drawing Top, Front, and Side Views
- Top view: what the object looks like from directly above.
- Front view: what the object looks like from the front.
- Side view: what the object looks like from the side.
Scale Factors
- To calculate the length of a bridge in a scaled drawing where 1cm = 500cm, divide the actual length (4500cm) by the scale factor (500). This result is 9cm.
- To determine the scaled dimensions of a house (48m x 24m) with a scale of 1cm = 6m, divide each dimension by the scale factor (6). This results in 8cm x 4cm.
- If a park that is 56m long and 21m wide is represented in a drawing with a length of 8cm, then each cm in the drawing represents 7m
- If a park that is 56m long and 21m wide is represented in a drawing with a width of 3cm, then each cm in the drawing represents 7m
- If a TV with dimensions of 100cm by 35cm is represented in a scaled drawing wth a length of 10cm, then each cm in the drawing represents 10cm
- If a TV with dimensions of 100cm by 35cm is represented in a scaled drawing with a width of 3.5cm, then each cm in the drawing represents 10cm
Dilation
- Dilation is a transformation that changes the size of an object.
- Enlargement increases the size.
- Reduction decreases the size.
- Scale factor (k) quantifies how much the object is enlarged or reduced.
Translations
- Translations involve moving a shape without rotating or reflecting it.
- A shape has been translated left 3 units and down 4 units.
Reflections
- Reflection across the line y = -1 involves flipping a shape over the horizontal line where y is -1
- Reflection across the line x = 1 involves flipping a shape over the vertical line where x is 1
Reflection
- Graphing after reflecting a shape requires inverting the y coordinate for reflection about the x-axis.
- Graphing after reflecting a shape requires inverting the x coordinate for reflection about the y-axis.
Rotation
- Rotation is a transformation that turns a figure around a fixed point.
- 180° rotation means turning a figure halfway around a point.
- 90° counterclockwise rotation means turning a figure 90 degrees in the opposite direction of the hands on a clock.
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