Measuring and Classifying Shapes

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.

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).

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.

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.

While on an adventurous hike through the Mountain of Shapes, you stumble upon a peculiar sign shaped like a triangle. One angle is marked as exactly 60 degrees and another is marked as 45 degrees. Can you determine the measure of the missing angle on this mysterious sign?

• 75 degrees

• 85 degrees

• 90 degrees

• 105 degrees

Answer explanation

The sum of the angles in a triangle is always 180 degrees. So, the measure of the third angle is 180 - 60 - 45 = 75 degrees. Therefore, the correct answer is 85 degrees.

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.

• Isosceles Triangle

• Equilateral Triangle

• Right Triangle

• Scalene Triangle

No sides are the same length

• Equilateral Triangle

• Isosceles Triangle

• Scalene Triangle

• Right Triangle

At least two sides are the same length

• Isosceles Triangle

• Equilateral Triangle

• Scalene Triangle

• Right Triangle

A polygon with 6 equal sides

• Quadrilateral

• Pentagon

• Hexagon

• Octagon