4. Geometry and Measurement

Triangles — Quiz

Test your understanding of triangles with 5 practice questions.

Practice Questions

Question 1

In $\triangle ABC$, if the lengths of sides $AB = 5x - 2$, $BC = 3x + 4$, and $AC = 2x + 8$, and the perimeter of the triangle is $40$ units, what is the length of the shortest side?

Question 2

Given $\triangle PQR$ and $\triangle STU$. If $PQ = ST$, $\angle Q = \angle T$, and $QR = TU$, which congruence postulate proves that $\triangle PQR \cong \triangle STU$?

Question 3

A triangle has side lengths of $7$ cm, $10$ cm, and $x$ cm. Which of the following inequalities correctly represents the possible range for $x$?

Question 4

In a right-angled triangle, the lengths of the two legs are $5$ units and $12$ units. What is the length of the hypotenuse?

Question 5

If $\triangle ABC$ is an isosceles triangle with $AB = AC$ and the exterior angle at vertex $C$ is $120^\circ$, what is the measure of $\angle B$?