Triangles and Angles Quiz

What angle pair is pictured?

• Alternate Interior Angles

• Supplementary Angles

• Vertical Angles

• Corresponding Angles

Answer explanation

Vertical angles are formed when two lines intersect, creating two pairs of opposite angles that are equal. The question refers to such angles, making 'Vertical Angles' the correct choice.

Tags

CCSS.7.G.B.5

The angle relationship shown is -

• Complementary Angles

• Supplementary Angles

• Vertical Angles

• Adjacent Angles

Answer explanation

Supplementary angles are two angles whose measures add up to 180 degrees. The angle relationship shown indicates that the angles combine to form a straight line, confirming they are supplementary.

Tags

CCSS.7.G.B.5

Can the sides of a triangle have lengths 3, 8, and 9?

• Yes

• No

Answer explanation

Yes, the sides of a triangle can have lengths 3, 8, and 9 because they satisfy the triangle inequality theorem: 3 + 8 > 9, 3 + 9 > 8, and 8 + 9 > 3.

Tags

CCSS.7.G.A.2

Which is a correct congruence statement.

• A

• B

• C

• D

Answer explanation

Choice C is the correct congruence statement as it accurately reflects the relationships between the figures involved. The other options do not maintain the necessary conditions for congruence.

Tags

CCSS.HSG.CO.B.7

Do the segment lengths 15, 12, and 9 form a right triangle?

• Yes

• No

• Maybe

• Pythagoras

Answer explanation

To determine if the segments 15, 12, and 9 form a right triangle, we apply the Pythagorean theorem: a² + b² = c². Here, 15² = 225, 12² = 144, and 9² = 81. Since 144 + 81 = 225, they do form a right triangle. Thus, the answer is Yes.

Tags

CCSS.8.G.B.8

Which angle type is pictured?

• Acute

• Right

• Obtuse

• Straight

Answer explanation

An obtuse angle is defined as one that measures more than 90 degrees but less than 180 degrees. Since the correct answer is obtuse, it indicates that the angle in the picture exceeds 90 degrees.

Tags

CCSS.4.G.A.1

• 118

• 108

• 28

• 58

Answer explanation

Supplementary angles sum to 180°. If one angle is x and the other is 62°, then x + 62° = 180°. Solving for x gives x = 180° - 62° = 118°. Thus, the value of x is 118.

Tags

CCSS.7.G.B.5

Which type of triangle is pictured?

• Equilateral Triangle

• Right Isosceles Triangle

• Obtuse Scalene Triangle

• Obtuse Equilateral Triangle

Answer explanation

The triangle is a Right Isosceles Triangle because it has one 90-degree angle and two equal sides. This matches the definition of a right isosceles triangle, distinguishing it from the other options.

Tags

CCSS.4.G.A.2

Look at the sides and angles of this triangle. Which type of triangle is pictured?

• Equilateral Triangle

• Right Isosceles Triangle

• Obtuse Scalene Triangle

• Obtuse Equilateral Triangle

Answer explanation

The triangle is a Right Isosceles Triangle because it has one right angle (90 degrees) and two equal sides. This matches the definition of a right isosceles triangle, distinguishing it from the other options.

Tags

CCSS.4.G.A.2

These angles are...

• Complementary

• Supplementary

• Neither

Answer explanation

These angles are complementary because their measures add up to 90 degrees. Supplementary angles add up to 180 degrees, and since these do not meet that criterion, they are classified as complementary.

Tags

CCSS.7.G.B.5