Geometry — Quiz 4

Questions in this quiz (7)

1. If a rhombus has diagonals of lengths 16 and 12, what is its perimeter?

   • 48
   • 64
   • 40
   • 80

2. In an isosceles triangle $$\triangle XYZ$$, $$\angle X$$ is the included angle between the two congruent sides. If the measure of $$\angle X$$ is $$40^\circ$$, what is the measure of $$\angle Y$$?

   • $$70^\circ$$
   • $$40^\circ$$
   • $$80^\circ$$
   • $$50^\circ$$

3. A square $$ABCD$$ is enclosed by four semicircles, each positioned along one side of the square. The total external perimeter, consisting only of the curved portions of the four semicircles, is given as $$60\pi$$. What is the perimeter of square $$ABCD$$?

   • $$60$$
   • $$60\pi$$
   • $$120$$
   • $$30\pi$$

4. A triangle has sides 8 and 15 units. Which of the following is not a possible length of the third side?

   • 7
   • 8
   • 12
   • 15

5. The side length of an equilateral triangle is $$x$$ inches longer than the side length of a second equilateral triangle. The height of the first triangle is how many inches longer than the height of the second triangle?

   • $$\frac{x}{2}$$
   • $$x\sqrt{3}$$
   • $$2x$$
   • $$\frac{x\sqrt{3}}{2}$$

6. A 30-foot ladder is leaned against a building. The side of the building is perpendicular to the ground, and the base of the ladder is 12 feet away from the base of the building. To the nearest foot, how far up the building does the ladder reach?

   • $$24$$
   • $$26$$
   • $$30$$
   • $$28$$

7. In the figure below, AB is parallel to ED. Determine the value of $$x$$.

   • 4.5
   • 2
   • 8
   • 7