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Question 1:
1 pts
Find the value of $x.$
$8cm$
$7cm$
$4cm$
$2cm$
Question 2:
1 pts
Find the value of $x.$
$x=$
$150^{\circ}$
$60^{\circ}$
$30^{\circ}$
$75^{\circ}$
Question 3:
1 pts
In an isosceles triangle, the angles across from the congruent sides are congruent. Also the sides across from congruent angles are congruent.
Question 4:
1 pts
Find the value of $y.$
$y=90^{\circ}$
$y=60^{\circ}$
$y=45^{\circ}$
$y=30^{\circ}$
Question 5:
2 pts
Find the value of $x$ and $y.$
$x$ and $y$ are, respectively, equal to
$26^{\circ}$ and $52^{\circ}.$
$52^{\circ}$ and $26^{\circ}.$
$52^{\circ}$ and $52^{\circ}.$
$26^{\circ}$ and $26^{\circ}.$
Question 6:
2 pts
What is the lateral side of an isosceles triangle with area $20$ unit$^{2}$ and base $10$ units?
$b=\sqrt{21}$
$b=\sqrt{31}$
$b=\sqrt{41}$
$b=\sqrt{51}$
Question 7:
2 pts
What is the area of an isosceles triangle with base $b$ of $8 cm$ and lateral $a$ side $5 cm?$
Area $=$
$40cm^{2}$
$12cm^{2}$
$36cm^{2}$
$24cm^{2}$
Question 8:
2 pts
$x=70^{\circ}$ and $y=5.$
Question 9:
3 pts
What is the lateral side of an isosceles triangle such that its height $h$ ( perpendicular to its base $b$) is $4 cm$ shorter than its base $b$ and its area is $30 cm^{2}$?
$a=$
$\sqrt{41}cm$
$\sqrt{51}cm$
$\sqrt{61}cm$
$\sqrt{71}cm$
Question 10:
3 pts
$\vartriangle ABC$ and $\vartriangle BCD$ are isosceles triangles. Find the size of angle $BDE$.
$\measuredangle BDE =$
$24^{\circ}$
$18^{\circ}$
$15^{\circ}$
$12^{\circ}$
Question 11:
3 pts
$\vartriangle ABC$ and $\vartriangle CDE$ are isosceles triangles. Find the size of angle $CED$.
$\measuredangle CED =$
$76^{\circ}$
$38^{\circ}$
$19^{\circ}$
$9^{\circ}$
Question 12:
3 pts
$\vartriangle ABC$ is a triangle whose $AB=AC =20cm$ and angle $BAC=30$ degree. Which expression can be used to find the area of the triangle?
Area $=$
$\dfrac{1}{2}\cdot 20 \cdot 20 \cdot \sin 75^{\circ}$
$2\cdot 20 \cdot 20 \cdot \sin 30^{\circ}$
$\dfrac{1}{2}\cdot 20 \cdot 20 \cdot \sin 30^{\circ}$
$20 \cdot 20 \cdot \sin 30^{\circ}$
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