A diagram is drawn showing a swing set with a swing pulled backward prior to release. The diagram shows how the swing will move forward and then backward after it is initially released. At which point in the diagram is all of the energy gravitational potential energy?
a
as the released swing begins moving backward
b
when the swing is pulled back prior to release
c
Just after the swing is released
d
at the highest point as the swing is moving forward
d - at the highest point as the swing is moving forward. At this point, all of the potential energy has been converted into kinetic energy.
Look at Figure 1. Which of the below angles are vertical? ( select all that apply)
angles MOR and QON
angles y and angle z
angles BOQ an NOP
Angles w and y
- Angles MOR and QON are vertical as they are formed by the intersection of two lines that are perpendicular to each other.
- Angles BOQ and NOP are also vertical as they are formed by the intersection of two parallel lines by a transversal.
- Angles w and y are not vertical.
Based on picture above which of the below angles are acute? (select all that apply)
angle y
Angle QOM
Angle QOR
Angle BOP
- Angle y is acute as it is less than 90 degrees.
- Angle QOM and QOR are both right angles and not acute.
- Angle BOP is obtuse as it is greater than 90 degrees.
3. What degree is angle CFE (Figure 2)?
*
40
60
120
30
Since angle AFE and AEC are both right angles, we know that angle CFE = angle CFA + angle AFE + angle AEC.
From the diagram, we can see that angle CFA = 60 degrees and angle AEC = 90 degrees.
To find angle AFE, we can use the fact that triangle AFE is an equilateral triangle, which means all angles are equal to 60 degrees.
Therefore, angle CFE = 60 + 60 + 90 = 210 degrees.
None of the given options is correct.
Look at the above picture. What is the Measure of Angle DFE?
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Review consecutive interior angles under parallel lines
1 point
60
120
40
30
Based on consecutive interior angles formed by parallel lines, we know that:
angle AFE + angle DFE = 180 degrees.
From the diagram, we can see that angle AFE = 60 degrees.
Therefore, angle DFE = 180 - 60 = 120 degrees.
So the answer is 120.
Look at Figure 2. What is the measure of x ? ( Hint: you may need to use triangle ACE to help you;) notice the right angle???
*
1 point
60
30
40
120