Unlocking the Secrets of Triangles

Unlocking the Secrets of Triangles

Discover the hidden mysteries and fascinating properties of triangles. Explore their angles, sides, and relationships, and uncover the key principles that govern these fundamental shapes. Join us on a journey of geometric exploration!

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Tell me everything you know about TRIANGLES!

Sum of Angles in a Triangle

• The sum of the interior angles of a triangle is always 180 degrees.

• Interior angles are the angles inside the triangle.

• Exterior angles are the angles outside the triangle.

• Exterior angle = Sum of two interior angles.

Multiple Choice

What is the sum of the interior angles of a triangle?

• 90 degrees

• 120 degrees

• 150 degrees

• 180 degrees

Triangle Trivia

Did you know? The sum of the interior angles of a triangle is always 180 degrees. This property holds true for all triangles, no matter their size or shape. It's a fundamental concept in geometry and helps us understand the relationships between angles in polygons. Remember, the angles of a triangle always add up to 180 degrees!

Multiple Choice

Guess the vegetable

• onion

• potato

• carrot

• cauliflower

supplementary angles

• Two angles that sum to 180 degree

• Angles do not need to share a ray or be connected

Examples of supplementary angles

adjacent vs. non-adjacent

Multiple Select

Select all supplementary angles

• a + b = 180

complementary angles

• Two angles that sum to 90 degrees

• Angles do not need to share a ray or be connected

Examples of complementary angles

adjacent vs. non-adjacent

Multiple Select

Select all complementary angles

• a + b = 90

vertical angles

• The pairs of opposite angles made by two intersecting lines

• Share a vertex but no common ray

• vertical angles are congruent (equal)

Examples of vetical angles

angles 2 and 4 are the vertical angles

Multiple Choice

What is the measure of the vertical angle labeled 1?

• 162 degrees

• 90 degrees

• 18 degrees

• there's not enough information given

adjacent angles

• Two angles that share a common ray and vertex

• When two lines intersect, adjacent angles form supplementary angles

Examples of adjacent angles

Multiple Select

Which of the following are adjacent angles? Select all that apply.

• 1 and 2

• 1 and 3

• 3 and 4

• 2 and 4

• 4 and 1

Fill in the Blank

Find the missing angle: y

Fill in the Blank

Find the missing angle: z

Fill in the Blank

Find the missing angle: x

Multiple Choice

WHICH WEIGHT MORE,A POUND OF FEATHERS OR A POUND OF BRICKS ?

• BRICK

• NEITHER,THEY BOTH WEIGHT ONE POUND

Multiple Choice

Find the missing angle.

• 74
• 66
• 35
• 16

Multiple Choice

Find the value of x.

• 15
• 16
• 18
• 19

Multiple Choice

Tell whether the angles are complementary or supplementary. Then find the value of x.

• Complementary; x=25
• Complementary; x=5
• Supplementary; x=25
• Supplementary; x=5

Explanation Slide...

Fun fact: it's the color of water

Multiple Choice

What is this color?

• Yellow

• Blue

• Red

• Teal