Geometry — Quiz 3

Questions in this quiz (7)

1. Compute the area of a triangle with three sides of 6, 8, and 10.

   • 35
   • 40
   • 30
   • 24

2. The three sides of an equilateral triangle are 6 units long. Find the height (altitude) of the triangle.

   • $$27$$
   • $$2\sqrt{6}$$
   • $$2\sqrt{3}$$
   • $$3\sqrt{3}$$

3. If an interior angle of a polygon is 120°, what is the corresponding exterior angle?

   • $$90^\circ$$
   • $$180^\circ$$
   • $$60^\circ$$
   • $$240^\circ$$

4. In an isosceles triangle, one angle is three times as big as another. Find the measure of the smallest angle of the triangle.

   • $$\frac{60}{7}$$
   • $$\frac{90}{7}$$
   • $$\frac{30}{7}$$
   • $$\frac{180}{7}$$

5. If the two diagonals of a quadrilateral are perpendicular to each other, is the polygon a rhombus?

   • Definitely yes
   • Definitely not
   • Not necessarily
   • Not known

6. In two similar triangles, if the length of one side of a triangle is $$1.2 \text{ cm}$$ and the corresponding side of another triangle is $$1.4 \text{ cm}$$, what is the ratio of areas of these triangles?

   • $$\frac{7}{35}$$
   • $$\frac{36}{49}$$
   • $$\frac{6}{7}$$
   • $$\frac{5}{49}$$

7. D, E, F are midpoints of the sides BC, CA, and AB respectively of triangle ABC. Determine the ratio of areas of triangle DEF and triangle ABC.

   • $$\frac{1}{3}$$
   • $$\frac{2}{3}$$
   • $$\frac{1}{2}$$
   • $$\frac{1}{4}$$