Exploring Grade 6 Unit 1 Lesson 9 Concepts

This lesson covers the formula for calculating the area of a triangle, emphasizing the importance of identifying the base and height. It explains how any side of a triangle can be a base, and the corresponding height must be perpendicular to it. The lesson includes practice problems to reinforce the concept and concludes with a summary and homework instructions.

What does a segment representing a triangle's height need to be in relation to its base?

• Perpendicular

• At an acute angle

• At an obtuse angle

• Parallel

Can any side of a triangle serve as a base?

• Only the side opposite the right angle

• Only the longest side

• Only the shortest side

• Any side

How many heights can a triangle have?

• Three

• Two

• Depends on the base chosen

• Only one

What is the formula for the area of a triangle?

• Base plus height

• Twice the base times the height

• Base times height

• Half the base times the height

What must be true about a height's relationship to the base in a triangle?

• It must form a right angle with the base

• It must be the longest side

• It must be the shortest side

• It must be parallel to the base

Can a triangle's height extend outside the triangle?

• Yes, always

• Only in obtuse triangles

• No, never

• Yes, if it still forms a right angle with the base

What is the relationship between a triangle and a parallelogram in terms of area?

• There is no consistent relationship

• A triangle has the same area as a parallelogram

• A triangle is twice the area of a parallelogram

• A triangle is half the area of a parallelogram

How can the area of a triangle be calculated from a parallelogram?

• By subtracting the triangle's area from the parallelogram's area

• By doubling the area of the triangle

• By quadrupling the area of the triangle

• By halving the area of the parallelogram

What is necessary for a segment to be considered a height of a triangle?

• It must connect a vertex to the midpoint of the opposite side

• It must be the longest segment in the triangle

• It must form a right angle with the base

• It must be parallel to the base

In the context of triangle geometry, what does the term 'base' refer to?

• The longest side of the triangle

• The side that is horizontal

• Any side of the triangle chosen for measurement

• The side opposite the right angle in a right triangle