1103161104
Level:
A
In the picture, there is an equilateral triangle and a line \( o \). From the next pictures choose the one that shows the triangle and its image in a line reflection across the line \( o \).
A
1103161103
Level:
A
How many lines of symmetry does the regular nonagon in the picture have?
\( 9 \)
\( 0 \)
\( 1 \)
\( 18 \)
1103161102
Level:
A
How many lines of symmetry does the parallelogram in the picture have?
\( 0 \)
\( 1 \)
\( 2 \)
\( 4 \)
1003161101
Level:
A
Given \( p \) is a line of reflection, which lines are mapped to themselves across the line \( p \)?
The line \( p \) and all lines perpendicular to \( p \) are mapped to themselves.
All lines parallel to the line \( p \) are mapped to themselves.
There are no lines which are mapped to themselves.
The line \( p \) only.
1103143705
Level:
A
Choose the graph of a function \( f \) for which \( f'(-1) > 0 \), \( f'(0)=0 \), \( f'(1) < 0 \), \( f'(3) > 0 \) (\( f' \) is the derivative of the function \( f \)).
1103143704
Level:
A
Choose the graph of a function \( f \) for which \( f(-2)=0 \), \( f'(-1)=0 \), \( f'(0)=1 \), \( f'(2)=-3 \) (\( f' \) is the derivative of the function \( f \)).
1103143703
Level:
A
Choose the graph of a function \( f \) for which \( f'(-2)=0 \), \( f'(-1)=-2 \), \( f'(2)=4 \) (\( f' \) is the derivative of the function \( f \)).
1103143702
Level:
A
Choose the graph of a function \( f \) for which \( f(0)=0 \), \( f'(1)=-1 \), \( f'(2)=0 \), \( f'(3)=3 \) (\( f' \) is the derivative of the function \( f \)).
1103143701
Level:
A
Choose the graph of a function \( f \) for which \( f(0)=0 \), \( f'(0)=3 \), \( f'(1)=0 \), \( f'(2)=-1 \) (\( f' \) is the derivative of the function \( f \)).
1003059501
Level:
A
Let \( \alpha \) and \( \beta \) be planes sharing three different points \( A \), \( B \), and \( C \). The points do not lie on one line. What is the mutual position of these two planes?
identical planes
parallel planes
intersecting planes