Triangle Proportionality Theorem Quiz

What is another name for the Triangle Proportionality Theorem?

• Aristotle's theorem

• Euclid's theorem

• Pythagoras theorem

• Thales theorem

Who proposed the Triangle Proportionality Theorem?

• Albert Einstein

• Isaac Newton

• Thales

• Euclid

What does the Triangle Proportionality Theorem help in understanding?

• The concept of circular motion

• The concept of relativity

• The concept of similar triangles

• The concept of gravity

According to the Triangle Proportionality Theorem, if a line is drawn parallel to one side of a triangle, how does it divide the other two sides?

• Randomly

• Equally

• In a 2:1 ratio

• In the same ratio

What is the formula stated by the Triangle Proportionality Theorem?

• AD/BD = AE/CE

• AB/BC = AC/CB

• AE/EB = DE/EC

• AD/DB = AC/BC

What is the converse of the Triangle Proportionality Theorem?

• If a line intersects two sides of a triangle, it necessarily divides those sides proportionally.

• If a line is parallel to one side of a triangle, it divides the triangle into two equal areas.

• If a line divides two sides of a triangle in equal proportion, then the line is parallel to the third side.

• If a line divides two sides of a triangle in equal proportion, then the line is perpendicular to the third side.

In the proof of the Triangle Proportionality Theorem, what is used to compare the areas of triangles?

• The ratio of their bases and heights

• The ratio of their perimeters

• The concept of similar triangles

• The Pythagorean theorem

What real-life applications does the Triangle Proportionality Theorem have?

• In predicting weather patterns

• In the construction of houses, bridges, towers, etc.

• In calculating the speed of light

• In determining the chemical composition of substances

Tags

CCSS.7.RP.A.3

How is the Triangle Proportionality Theorem used in geometry?

• To find the center of a circle

• To prove the existence of parallel universes

• To calculate angles in non-Euclidean geometry

• To determine proportions in similar triangles

What is required for the Triangle Proportionality Theorem to apply?

• The triangle must be right-angled

• The triangle must be equilateral

• A line parallel to one side of the triangle must intersect the other two sides

• The triangle must have at least two equal sides