Basics of Geometry
Parallel Lines & Transversals
Transformations
Miscellaneous
100
They are the four transformations in Geometry.
What are translation, reflection, rotation and dilation?
100
Angles 1 & 5 and angles 2 & 6 are examples of these congruent angles:
Alternate exterior angles.
100
The transformation rule of (x,y) ---> (x+5, y).
Translation to the right 5 units.
100
During our intro game today, who said that they liked skiing?
Lana and ...
200
This is the only non-rigid transformation.
What is dilation?
200
Angles 3 & 4 and angles 8 & 7 are examples of these supplementary angles:
Consecutive (same side) interior angles
200
The transformation rule (x,y) ---> (y,x)?
Reflection across the line y = x.
200
The transformation rule of (x,y) ---> (-x,-y).
180 degree counterclockwise or 180 degree clockwise rotation.
300
These transformations preserve distance.
What are translation, reflection and rotation?
300
The value of x in this diagram:
x = 5.
*vertical angles are congruent
* 8x-8 = 3x +17
5x = 25
x =5
300
The coordinates of Z′′ if ∆XYZ is rotated 90° counterclockwise about the origin, then translated by the rule (x, y) → (x−5, y−2)?
What is (-3,1)?
300
The triangle congruence or similarity theorem/postulate that corresponds with the diagram:
Angle-Angle-Side
400
This transformation does not preserve distance.
What is dilation?
400
The value of y in this diagram:
y=9.
*consecutive (same side) exterior angles are supplementary
* 4y+44 + 6y + 46 = 180
10y = 180 - 90
10y = 90
y=9
400
The four main lines of reflections and their transformation rules.
What are x-axis (x, -y),
y-axis (-x,y),
y=x (y,x)
and y=-x (-y, -x)?
400
The transformations that will create an image that are similar to the preimage?
What are A, B, D, and E?
500
This is a common geometric construction illustrated in the image below.
A perpendicular bisector.
500
What is the value of y in the diagram:
11
500
Rectangle ABCD is reflected over the line y = 1 and then translated by this rule to map to A"B"C"D"
Translation (x-7, y+4).
500
Measure of each interior angle in a pentagon (in degrees)
108 degree.