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Question 1:
1 pts
$d = a\sqrt{2}$ is a diagonal of a square.
Question 2:
1 pts
Which formula can be used to find the perimeter of the quadrilateral shown on the picture?
$P=a \cdot b \cdot c \cdot d$
$P=a+b+c+d$
$P=a\cdot b+c\cdot d$
none of these
Question 3:
1 pts
Area of parallelogram = $\dfrac{\mbox {base $\times$ height}}{2}$ = $\dfrac{b\cdot h}{2}.$
Question 4:
1 pts
Area of rhombus = $\dfrac{d_{1}\cdot d_{2}}{2}.$
Question 5:
2 pts
Which of the following expression is NOT correct?
$\alpha + \beta=180 ^{\circ}$
$\beta + \delta =180 ^{\circ}$
$\beta + \gamma=180^{\circ}$
Question 6:
1 pts
Is the folowing expression true or false? $$\theta = 90^{\circ}$$
Question 7:
2 pts
Area of Isosceles Trapezoid = $\dfrac{(a+b)\cdot h}{2}.$
Question 8:
2 pts
Which formula can be used to find the altitude of the quadrilateral shown on the picture?
$h^{2}=$
$c^{2}-(a-b)^{2}$
$c^{2}-\left(\dfrac{a-b}{2}\right)^{2}$
$c^{2}+(a-b)^{2}$
$(a-b)^{2}-c^{2}$
Question 9:
3 pts
Which formula can be used to find the diagonal $d$ of the quadrilateral shown on the picture?
$d = \sqrt{{h_{a}}^{2}-(a-b)^{2}}$
$d = \sqrt{{h_{a}}^{2}-\dfrac{(a-b)}{2}^{2}}$
$d = \sqrt{{h_{a}}^{2}+\dfrac{(a-b)}{2}^{2}}$
$d = \sqrt{{h_{a}}^{2}+(a-b)^{2}}$
Question 10:
3 pts
Which formula can be used to find the circumradius $R$ of the quadrilateral shown on the picture?
$R=$
$\dfrac{\sqrt{a^{2}+b^{2}}}{2}$
$\dfrac{\sqrt{a^{2}-b^{2}}}{2}$
${\sqrt{a^{2}+b^{2}}}$
Question 11:
3 pts
Is the folowing expression true or false? $$ d_{1}=a$$
Question 12:
3 pts
Is the folowing expression true or false? $$ r=\dfrac{x}{2}$$
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