Vocabulary
Rigid Motions
Transformations
Misc
100
An isosceles triangle has at least 2 of these congruent parts.
base angles and sides
100
A rigid motion will always preserve what two geometric objects?
What is segment length (or distance) and angle measure.
100
What single transformation can be used to map ΔABC to ΔA'B'C'?
What is a reflection
100
What are the coordinates of the "origin"
(0,0)
200
What is another term for coincide?
Congruent
200
Which of the following is not a property of all rigid motions?
a.) angles are preserved
b.) length of a line segment and length of its image are equal
c.) lines are mapped to parallel lines
d.) the images of two perpendicular lines will be themselves perpendicular.
c.) not all rigid motions will map lines to parallel lines
200
Which of the of the following describes the effect of a transformation given by (x,y)→ (-x,y) on points in the coordinate plane?
a.) rotates them 90° counterclockwise about the origin
b.) reflects them across the y-axis
c.) it rotates them 180° clockwise about the axis
d.) it reflects them across the x-axis
b.) this transformation rule will reflect the points across the y-axis
200
A nonagon is a nine-sided polygon. If a regualr nonagon was rotated about its center point, which of the following angles of rotation would NOT map the figure to itself?
a.) 40°
b.) 80°
c.) 60°
d.) 120°
c.) 60°
300
Term that is in the middle of a segment--splits the segment into two equal parts
midpoint or bisector
300
A transformation was used to map Δ ABC to its image Δ A'B'C'. What transformation would not guarantee that Δ A'B'C' has the same size and shape as Δ ABC?
What is a dilation?
300
If ∠ABC is mapped to ∠A'B'C' using a rigid body motion, which of following does not need to be true?
a.) AB is parallel to A'B'
b.) m∠ABC=m∠A'B'C'
c.) BC=B'C'
d.) the midpoint of AB is mapped to the midpoint of A'B'
a.) AB is parallel to A'B'!
300
In the diagram below, point C is located on BD such that AB≡AC and AC≡CD. If m∠ ADC is 26° then what is the measure of ∠ABC?
52°
400
What is the original object called in a transformation?
Pre-image
400
In the following diagram, ray AB and CD intersect at E. Which of the following transformations can used to show that ∠AED≅∠ BEC?
a.) a 90° counterclockwise rotation about E
b.) a reflection across ray AB
c.) a translation that maps A to B
d.) a 180° rotation about E
d.) a 180° rotation about E
400
If the point (a,b) was translated 7 units to the left and 5 units down and then reflected across the x-axis, its new coordinates, in terms of a and b would be...?
(a-7,-b+5)
400
Which of the of the following describes the effect of a transformation given by (x,y)→ (y,-x) on points in the coordinate plane?
a.) rotates them 90° counterclockwise about the origin
b.) reflects them across the y-axis
c.) it rotates them 180° clockwise about the axis
d.) it reflects them across the x-axis
a.) this transformation rule will transform a point 90 degrees counterclockwise about the origin.
500
What is an angle bisector?
A line or ray that splits an angle into two congruent parts.
500
Point A(-4,1) is translated to point A' and then point A' is reflected across the x-axis to point A''(7,6). Describe the translation rule that mapped A to A'
A'(7,-6)
(x+11, y-7)
500
A translation is used to map A(-5,13) to A'(2,9). If the same translation is used to map B(4,-2), then its image, B', would have coordinates of what?
B'(11,-6)
500
What would a dilation with a scale factor of 2 do to a geometric object?
Double its size