All HiSET: Math Resources
Example Questions
Example Question #1 : Rotations
Let and
be the midpoints of
and
, respectively.
Rotate the above hexagon clockwise, then reflect it about the line through
. Call
the image of
after these transformations.
will be located in the same position as which of the following points?
A rotation is equivalent to
of a complete rotation, so rotate as follows:
The image of under this rotation, which we will call
, is at
.
Now, locate the midpoints and
, and construct the line
as described and shown below. Perform the reflection:
It can be seen that the image of under this transformation - the desired
- is located at
.
Example Question #61 : Measurement And Geometry
In the above octagon, let and
be the midpoints of
and
, respectively.
Rotate the above octagon counterclockwise, then reflect it about
. Call
the image of
after these transformations.
will be located in the same position as which of the following points?
A rotation is equivalent to
of a complete rotation, so rotate as follows:
The image of under this rotation, which we will call
, is at
.
Now, locate the midpoints and
, and construct the line
as described and shown below. Perform the reflection:
The image of under this transformation - the desired
- is located at
.
Example Question #1 : Rotations
Rotate the above hexagon counterclockwise, then reflect it about
. Call
the image of
after these transformations.
will be located in the same position as which of the following points?
A rotation is equivalent to
of a complete rotation, so rotate as follows:
The image of under this rotation, which we will call
, is at
.
Now, construct , and reflect the hexagon about this line:
The image of under this reflection - the desired
- is located at
itself.
Example Question #2 : Rotations
Between 6:15 and 6:40, the minute hand of a clock undergoes which of the following clockwise rotations?
Between 6:15 and 6:40,
minutes elapse.
The minute hand of a clock rotates one complete clockwise turn about its mount over the course of 60 minutes. Therefore, over 25 minutes, the minute hand rotates
clockwise.
Example Question #3 : Rotations
Over the course of 20 minutes, the hour hand of a clock undergoes which of the following rotations?
The hour hand of a clock makes one complete clockwise rotation over the course of 12 hours, or
minutes.
Therefore, over the course of 20 minutes, the hour hand rotates
.
Example Question #123 : Hi Set: High School Equivalency Test: Math
Over the course of one minute and forty seconds, the minute hand of a clock undergoes which of the following clockwise rotations?
The minute hand of a clock rotates one complete clockwise turn about its mount over the course of 60 minutes, or, equivalently, since there are 60 seconds in a minute, every
seconds.
Over the course of 1 minute 40 seconds - or, since one minute is equal to 60 seconds, seconds - the minute hand rotates clockwise
.
Example Question #1 : Rotations
Examine the figures in the above diagram. The figure at right is the result of performing which of the following transformations on the figure at left?
A clockwise rotation
A counterclockwise rotation
A clockwise rotation
A counterclockwise rotation
A rotation
A clockwise rotation
Examine the figure below:
If we connect the horizontal line with the line along the rotated nine at right, we see that it is the result of a one-third turn clockwise; the angle between them
Example Question #21 : Understand Transformations In The Plane
Examine the figures in the above diagram. The figure at right is the result of performing which of the following transformations on the figure at left?
A counterclockwise rotation
A clockwise rotation
A clockwise rotation
None of the other choices gives the correct response.
A counterclockwise rotation
A clockwise rotation
Examine the figure below:
If we connect the horizontal line with the line along the rotated nine at right, we see that it is the result of a one-eighth turn clockwise; the angle between them .
Example Question #22 : Understand Transformations In The Plane
Examine the figures in the above diagram. The figure at right is the result of performing which of the following transformations on the figure at left?
A counterclockwise rotation
A counterclockwise rotation
A clockwise rotation
A clockwise rotation
A rotation
A counterclockwise rotation
Examine the figure below.
If we connect the horizontal line with the line along the rotated "omega" at right, we see that it is the result of a one-sixth turn counterclockwise; the angle between them is one sixth of , or
.
Example Question #23 : Understand Transformations In The Plane
Over the course of one hour and twenty minutes, the hour hand of a clock undergoes which of the following clockwise rotations?
The hour hand of a clock makes one complete clockwise rotation over the course of 12 hours, or, since one hour is equal to 60 minutes,
Therefore, over the course of 1 hour 20 minutes - which is equal to minutes - the hour hand rotates
.
All HiSET: Math Resources
