Acute / Obtuse Triangles

Practice Questions

ISEE Upper Level (grades 9-12) Quantitative Reasoning › Acute / Obtuse Triangles

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1

Which is the greater quantity?

(a) The sum of the measures of the exterior angles of a thirty-sided polygon, one per vertex

(b) The sum of the measures of the exterior angles of a forty-sided polygon, one per vertex

2

The lengths of the hypotenuses of ten similar right triangles form an arithmetic sequence. The smallest triangle has legs of lengths 5 and 12 inches; the second-smallest triangle has a hypotenuse of length one and one half feet.

Which of the following responses comes closest to the area of the largest triangle?

3

In a certain quadrilateral, three of the angles are , , and . What is the measure of the fourth angle?

4

A hexagon has six angles with measures

Which quantity is greater?

(a)

(b) 240

5

Given Trapezoid , where . Also,

Which is the greater quantity?

(a)

(b)

6

Trapezoid

The above diagram depicts trapezoid . Which is the greater quantity?

(a)

(b)

7

Let the three angles of a triangle measure , , and .

Which of the following expressions is equal to ?

8

Let the three angles of a triangle measure , , and .

Which of the following expressions is equal to ?

9

Right_triangle

Note: Figure NOT drawn to scale.

Refer to the above figure. Which is the greater quantity?

(a)

(b)

10

Right triangle has right angle .

Which is the greater quantity?

(a)

(b)

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