.
.
Each of the following are considered as graphed in the xy-plane. The word "solid,"
when used next to the geometrical name/phrase, is used in a figurative sense to
mean the shape with its interior points included. Match the number of each equation
with the letter of its corresponding geometrical name/phrase.
Choose just one letter that is the most descriptive among the choices. You are
encouraged to use sites such as www.wolframalpha.com, www.quickmath.com, etc.,
but be careful of their limitations of what they might show. (These are my own
equations that I came up with, and I already tested them on one of these sites
in conjunction with some analysis on paper.)
1. |y - x| + |y + x| + |y + x - 2| = 2
2. |x - y| + |x + y - 2| = 2
3. |y| + |y - 2| + |x| + |x - 2| = 4
4. |2y| + |2y - 2| + |2x + y - 3| = 2y + 2
5. |x| + |x + y + 8| + |y| = 8
6. |y - 2| + |y - 3| + |x - 1| + |x - 4| = 4
7. |2y| + |2y - 2| + |2x + y - 1| + |2x - y - 1| = 2y + 2
8. |y| + |x| + |x - 5| = 9
9. |x + y - 1| + |x - y - 1| + |x - y + 1| = 2
10. |y - 1| + |x - 2| + |x| = 2
A) sideways rectangle
B) triangle
C) hexagon
D) oblique line segment
E) horizontal line segment
F) square
G) solid square
H) parallelogram
I) solid isosceles right triangle
1. ____
2. ____
3. ____
4. ____
5. ____
6. ____
7. ____
8. ____
9. ____
10. ____
.
Each of the following are considered as graphed in the xy-plane. The word "solid,"
when used next to the geometrical name/phrase, is used in a figurative sense to
mean the shape with its interior points included. Match the number of each equation
with the letter of its corresponding geometrical name/phrase.
Choose just one letter that is the most descriptive among the choices. You are
encouraged to use sites such as www.wolframalpha.com, www.quickmath.com, etc.,
but be careful of their limitations of what they might show. (These are my own
equations that I came up with, and I already tested them on one of these sites
in conjunction with some analysis on paper.)
1. |y - x| + |y + x| + |y + x - 2| = 2
2. |x - y| + |x + y - 2| = 2
3. |y| + |y - 2| + |x| + |x - 2| = 4
4. |2y| + |2y - 2| + |2x + y - 3| = 2y + 2
5. |x| + |x + y + 8| + |y| = 8
6. |y - 2| + |y - 3| + |x - 1| + |x - 4| = 4
7. |2y| + |2y - 2| + |2x + y - 1| + |2x - y - 1| = 2y + 2
8. |y| + |x| + |x - 5| = 9
9. |x + y - 1| + |x - y - 1| + |x - y + 1| = 2
10. |y - 1| + |x - 2| + |x| = 2
A) sideways rectangle
B) triangle
C) hexagon
D) oblique line segment
E) horizontal line segment
F) square
G) solid square
H) parallelogram
I) solid isosceles right triangle
1. ____
2. ____
3. ____
4. ____
5. ____
6. ____
7. ____
8. ____
9. ____
10. ____