Algebra For questions 1-5, find the value of the variable.
1.
x =
(1 point)
2.
y =
(1 point)
3.
x =
(1 point)
4.
x =
(1 point)
5. (1 point)
x = , y = , b = 90
x = , y = 3, b = 95
x = , y = 2, b = 90
x = , y = , b = 130
In Exercises 6-8, decide whether the statement is true or false. If true, explain why. If false, show a counterexample.
6. A quadrilateral with congruent diagonals is an isosceles trapezoid or rectangle. (1 point)
True; diagonals are congruent in the following example:
False; diagonals are equal in the following example:
False; diagonals are equal in the following example:
7. The diagonals of a kite separate the quadrilateral into four congruent triangles. (1 point)
False; no triangles are congruent.
False; only two triangles at a time are congruent.
True; four triangles are congruent.
8. Each diagonal of a kite bisects two angles of the kite. (1 point)
True;
False;
True;
False;
Give the coordinates for point A without using any new variables.
9. (1 point)
(m, n)
(m, 0)
(n, m)
(0, n)
10. (1 point)
(k, p)
(-k, p)
(k, 0)
(0, p)
4 answers
2)32
3)2
4)3
5)A
6)C
7)B
8)B
9)C
10)C