Take this Quiz: Geometry 1 — triangles, circles and the facts to memorise | Zestly

Question 1

Two similar triangles, $T_1$ and $T_2$, have a ratio of corresponding side lengths of $1:3$. If the area of $T_1$ is $10$, what is the area of $T_2$?

Accepted Answer

$90$

Answer

$30$

Answer

$60$

Answer

$100$

Question 2

In a right triangle, one acute angle measures $	heta$. If $\sin(	heta) = 0.6$, what is the value of $\cos(90^\circ - 	heta)$?

Accepted Answer

$0.6$

Answer

$0.4$

Answer

$0.8$

Answer

$1.0$

Question 3

A sector of a circle has a central angle of $\frac{\pi}{4}$ radians and a radius of $8$. What is the area of this sector?

Accepted Answer

$8\pi$

Answer

$16\pi$

Answer

$32\pi$

Answer

$64\pi$

Question 4

In a $30-60-90$ triangle, the side opposite the $30^\circ$ angle has a length of $5$. What is the length of the hypotenuse?

Answer

$5$

Answer

$5\sqrt{2}$

Answer

$10$

Answer

$5\sqrt{3}$

Question 5

Which of the following sets of side lengths could form a right triangle?

Answer

$3, 4, 6$

Answer

$5, 12, 13$

Answer

$6, 8, 11$

Answer

$7, 24, 26$

Question 6

If the radius of a sphere is doubled, by what factor does its volume increase?

Answer

$2$

Answer

$4$

Answer

$6$

Answer

$8$

Question 7

In triangle $ABC$, $DE$ is parallel to $BC$, where $D$ is on $AB$ and $E$ is on $AC$. If $AD = 2$, $DB = 4$, and $BC = 9$, what is the length of $DE$?

Answer

$3$

Answer

$4.5$

Answer

$6$

Answer

$18$