1. Which of the following are the coordinates of the vertices of the following rectangle with base b and height h?
2. Which of the following are the coordinates of the vertices of the following square with sides of length a?
3. Which of the following are the coordinates of the vertices of the following square centered at the origin, with side length of b?
4. Which could be the coordinates of the vertices of the following parallelogram, given that S is a units from the origin, Z is b units from the origin, and the length of the base is c units?
5. Which are the coordinates of the vertices of the following rhombus centered at the origin, with SW=2r and TZ=2t?
6. Which could be the coordinates of the vertices of the following isosceles trapezoid centered at the origin, with base 2a and OR=c?
7. Give the coordinates for point P in the following isosceles trapezoid without using any new variables.
8. Give the coordinates for point P in the following right trapezoid without using any new variables.
9. Give the coordinates for point P in the kite below without using any new variables.
10. Given the quadrilateral ABCD, with vertices A (b,2c), B (4b,3c), C (5b,c), and D (2b,0), and without knowing anything about the relationship between b and c, classify the quadrilateral as precisely as possible.
Answers:
1. B
2. A
3. C
4. D
5. C
6. C
7. A
8. D
9. D
10. B
The answers are all correct!! thank you Pheobe!
1. The coordinates of the vertices of the rectangle with base b and height h can be determined as follows:
A: (0, 0)
B: (b, 0)
C: (b, h)
D: (0, h)
2. The coordinates of the vertices of the square with sides of length a can be determined as follows:
A: (0, 0)
B: (a, 0)
C: (a, a)
D: (0, a)
3. The coordinates of the vertices of the square centered at the origin, with side length of b can be determined as follows:
A: (-b/2, -b/2)
B: (b/2, -b/2)
C: (b/2, b/2)
D: (-b/2, b/2)
4. The coordinates of the vertices of the parallelogram can vary depending on the values of a, b, and c. However, given that S is a units from the origin, Z is b units from the origin, and the length of the base is c units, we can determine the following:
A: (0, 0)
B: (c, 0)
C: (c + a, b)
D: (a, b)
5. The coordinates of the vertices of the rhombus centered at the origin, with SW=2r and TZ=2t can be determined as follows:
A: (0, -r-t)
B: (-t, 0)
C: (0, r+t)
D: (t, 0)
6. The coordinates of the vertices of the isosceles trapezoid centered at the origin, with base 2a and OR=c can vary depending on the values of a and c. However, we can determine the following:
A: (-a, -c/2)
B: (a, -c/2)
C: (a, c/2)
D: (-a, c/2)
7. Without using any new variables, the coordinates of point P in the isosceles trapezoid can be determined as follows:
P: (a, -c/2)
8. Without using any new variables, the coordinates of point P in the right trapezoid can be determined as follows:
P: (4b, 3c)
9. Without using any new variables, the coordinates of point P in the kite can be determined as follows:
P: (b, 2c)
10. Given the quadrilateral ABCD with vertices A (b,2c), B (4b,3c), C (5b,c), and D (2b,0), without knowing anything about the relationship between b and c, we can classify the quadrilateral as a trapezoid.
1. To find the coordinates of the vertices of a rectangle with base b and height h, we need to know the position of one vertex and then use the properties of a rectangle.
2. To find the coordinates of the vertices of a square with sides of length a, we need to know the position of one vertex and then use the properties of a square.
3. To find the coordinates of the vertices of a square centered at the origin with side length b, we can use the properties of a square and the fact that the origin is (0, 0).
4. To find the coordinates of the vertices of a parallelogram given that S is a units from the origin, Z is b units from the origin, and the length of the base is c units, we need to use the properties of a parallelogram and the given information about the distances from the origin.
5. To find the coordinates of the vertices of a rhombus centered at the origin, with SW = 2r and TZ = 2t, we can use the properties of a rhombus and the fact that the origin is (0, 0).
6. To find the coordinates of the vertices of an isosceles trapezoid centered at the origin, with base 2a and OR = c, we can use the properties of an isosceles trapezoid and the fact that the origin is (0, 0).
7. To find the coordinates of point P in the given isosceles trapezoid without using any new variables, we need to use the properties of an isosceles trapezoid and the information about the coordinates of the other points in the trapezoid. The specific coordinates depend on the shape of the trapezoid.
8. To find the coordinates of point P in the given right trapezoid without using any new variables, we need to use the properties of a right trapezoid and the information about the coordinates of the other points in the trapezoid. The specific coordinates depend on the shape of the trapezoid.
9. To find the coordinates of point P in the given kite without using any new variables, we need to use the properties of a kite and the information about the coordinates of the other points in the kite. The specific coordinates depend on the shape of the kite.
10. To classify the quadrilateral ABCD given the coordinates of its vertices without any additional information about the relationship between b and c, we can use the properties of different types of quadrilaterals (rectangle, square, parallelogram, etc.) and check if the given coordinates satisfy those properties. Based on the given answer (B), it's likely that the quadrilateral is classified as a square.