Geometry Quiz

In a triangle, how many total degrees are there?

• 100%

• it varies

• 360 degrees

• 180 degrees

Answer explanation

In a triangle, the sum of the interior angles is always 180 degrees. Therefore, the correct answer is 180 degrees.

What is the name of this kind of triangle?

• Equilateral

• Isosceles

• Scalene

• Right

Answer explanation

An isosceles triangle has at least two sides of equal length. This distinguishes it from equilateral (all sides equal), scalene (no sides equal), and right (one angle is 90 degrees) triangles.

What is the name of this kind of triangle?

• Equilateral

• Scalene

• Right

• Isosceles

Answer explanation

An isosceles triangle has at least two sides of equal length. This distinguishes it from equilateral (all sides equal), scalene (no sides equal), and right (one angle is 90 degrees) triangles.

Find the measure of the indicated angle.

• 85

• 45

• 95

• 35

Answer explanation

The indicated angle is 45 degrees, which is often found in right triangles or complementary angles. This choice is correct as it fits common angle measures in geometry.

A triangle has angle measurements of 26°, 59°, and 95°. What kind of triangle is it?

• none of the above

• right triangle

• acute triangle

• obtuse triangle

Answer explanation

The triangle has one angle measuring 95°, which is greater than 90°. This makes it an obtuse triangle, as it contains one obtuse angle. The other angles, 26° and 59°, are acute, but the presence of the obtuse angle defines the triangle type.

Find the missing angle in the triangle.

• 39°

• 59°

• 49°

• 29°

Answer explanation

In a triangle, the sum of the angles is always 180°. If the other two angles are 82° and 49°, then the missing angle is 180° - (82° + 49°) = 49°. Thus, the correct answer is 49°.

Determine if it is possible to form a triangle with the given side lengths. 2 mm, 2 mm, 8 mm

• no

• yes

Answer explanation

To form a triangle, the sum of the lengths of any two sides must be greater than the length of the third side. Here, 2 mm + 2 mm is not greater than 8 mm, so it is not possible to form a triangle. Therefore, the answer is no.

Which of the following angles are opposite interior angles to angle d?

• Angle a and Angle b and Angle c

• Angle b and Angle c

• Angle a and Angle c

• Angle a and Angle b

Answer explanation

Angle d has opposite interior angles that are formed by the transversal intersecting two lines. The angles opposite to angle d are angle a and angle c, making 'Angle a and Angle c' the correct choice.

Which of the following terms best describes Angle d?

• Corresponding angle

• Opposite interior angle

• Exterior angle

• Interior angle

Answer explanation

Angle d is best described as an exterior angle because it is formed outside of a polygon when a side is extended. This distinguishes it from interior angles, which are located inside the polygon.

What kind of triangle is this?

• Obtuse

• Right

• Acute

Answer explanation

The triangle is classified as obtuse because it has one angle greater than 90 degrees. In contrast, a right triangle has one angle equal to 90 degrees, and an acute triangle has all angles less than 90 degrees.