Classifying Triangles and Angles

In a triangle, one of the angles measures more than 90 degrees. What type of angle is this?

• Right angle

• Acute angle

• Straight angle

• Obtuse angle

Answer explanation

An angle is considered obtuse when its measure is greater than 90 degrees, making 'Obtuse angle' the correct choice.

Tags

CCSS.4.G.A.1

Imagine you're navigating the vast Ocean of Shapes and you come across an island shaped like a triangle with one angle measuring exactly 90 degrees! What type of triangle is the island?

• Equilateral triangle

• Obtuse-angled triangle

• Right-angled triangle

• Acute-angled triangle

Answer explanation

The triangle with one angle exactly 90 degrees is called a right-angled triangle, so you have discovered a right-angled triangle in the Geometry Jungle.

Tags

CCSS.4.G.A.2

Imagine you're navigating the vast landscapes of the Angle Archipelago, and you discover a unique kind of triangle on a map, where all three angles are equal. What is this triangle called?

• Scalene triangle

• Isosceles triangle

• Equilateral triangle

• Acute triangle

Answer explanation

An equilateral triangle has all three sides of the same length, making it the correct choice in this scenario.

Tags

CCSS.4.G.A.2

Imagine you're an architect designing a park. You decide to include a triangular flower bed where two of its sides lean towards each other equally. What special name does this triangle get?

• Right-angled triangle

• Isosceles triangle

• Scalene triangle

• Equilateral triangle

Answer explanation

An isosceles triangle has two sides of equal length, so if a triangle has two sides hugging each other with the same length, it is called an isosceles triangle.

Tags

CCSS.2.G.A.1

Imagine you're a renowned architect tasked with designing a unique monument. In your sketches, you've drawn a triangle with one of its angles measuring a sleek 45 degrees. What could be the measures of its other two mysterious angles?

• The other two angles are twins, each measuring a perfect 90 degrees, making this design a peculiar find indeed!

• The other two angles, when combined, measure a total of 135 degrees. However, their individual measures remain a mystery without further exploration.

• These other two angles are giants, each measuring an impossible 180 degrees, defying the laws of architectural design!

• The other two angles are also 45 degrees each, making this monument an equilateral enigma in a right-angled world!

Answer explanation

The correct answer is: The other two angles, when combined, measure a total of 135 degrees. However, their individual measures remain a mystery without further exploration.

Tags

CCSS.8.G.A.5

While navigating the treacherous angles of Mount Scalene, you stumble upon a peculiar rock formation shaped like a triangle. Two of its angles shine brightly under the sun at 30 degrees and 60 degrees. Can you calculate the measure of its elusive third angle?

• 75 degrees

• 45 degrees

• 90 degrees

• 120 degrees

Answer explanation

The sum of all angles in a triangle is 180 degrees. So, the third angle would be 90 degrees (180 - 30 - 60).

Tags

CCSS.8.G.A.5

While navigating the treacherous paths of the Geometry Jungle, you stumble upon an ancient relic shaped like a triangle. Two of its corners shine brightly, revealing angles of 70 degrees and 40 degrees. What is the measure of its hidden third angle?

• 70 degrees

• 90 degrees

• 30 degrees

• 110 degrees

Answer explanation

The sum of the angles in a triangle is always 180 degrees. So, the measure of the third angle is 180 - 70 - 40 = 70 degrees.

Tags

CCSS.8.G.A.5

Imagine you're a navigator sailing through the vast Ocean of Angles, and you've just encountered a mysterious island shaped like a triangle. Two of its shores form angles with the sea at 80 degrees and 60 degrees. Can you calculate the measure of the angle where the third shore meets the sea to uncover the island's secret?

• 100 degrees

• 50 degrees

• 40 degrees

• 70 degrees

Answer explanation

The sum of the angles in a triangle is always 180 degrees. So, the measure of the third angle is 180 - (80 + 60) = 40 degrees. Therefore, the correct answer is 40 degrees.

Tags

CCSS.8.G.A.5

Imagine you're an adventurer, and you've just found a map leading to a hidden treasure. The map shows a triangle with angles measuring 90°, 60°, and 30°. Can you form a triangle with these magical angles to unlock the treasure?

• No way!

• Perhaps...

• Could be a trick question...

• Absolutely!

Answer explanation

The side lengths of 3, 4, and 5 form a valid triangle according to the Pythagorean theorem, so you can absolutely form a triangle with these magical numbers to unlock the treasure.

Tags

CCSS.7.G.A.2

Imagine you're an adventurer, and you've just found a map leading to a treasure hidden deep within a mystical land. The map reveals that to unlock the treasure, you must align three magical mirrors at angles of 2, 3, and 8 degrees to reflect the sunlight onto the treasure's lock. Can you align such mirrors to unlock the treasure?

• Maybe, let's give it a try!

• Yes, the treasure is ours!

• Not sure, this is quite the puzzle.

• No, it seems like a trick.

Answer explanation

The sum of the lengths of any two sides of a triangle must be greater than the length of the third side. In this case, 2 + 3 is less than 8, so it's not possible to form a triangle with these lengths.

Tags

CCSS.4.MD.C.7