LEAP Push 2.1.4

Multiple Choice

• y=1/2x

• y=-2x-3

• y=1/2x+3

• y=-2x+3

Multiple Choice

Which of the following sets of lengths CANNOT form a triangle?

• 3, 4, 5

• 5, 12, 13

• 7, 8, 15

• 6, 8, 10

Math Response

Type answer here

Correct Answer: x=12

Deg^°

Rad

Multiple Choice

If a triangle has sides of length 5 and 7, what is the maximum possible length of the third side?

• 11

• 12

• 13

• 14

Multiple Choice

Solve for x.

• 1

• 2

• 3

• 4

Multiple Choice

Which equation represents the line that passes through the point (-2,2) and is parallel to y = 1/2x + 8?

• y = 1/2x

• y = -2x - 3

• y = 1/2x + 3

• y = -2x + 3

Multiple Choice

Name the corresponding angle or side.

• A
• B
• C
• D

Multiple Choice

Name the corresponding angle or side.

• A
• B
• C
• D

Open Ended

If the triangles JKL and PMN are congruent, what is the corresponding part of ∠L?

Multiple Choice

Identify each triangle based on their sides as equilateral, isosceles or scalene. (For triangle 2)

• Equilateral

• Isosceles

• Scalene

• Right

Multiple Choice

According to the Triangle Inequality Theorem, what must be true about the sum of the lengths of any two sides of a triangle?

• It is less than the third side.

• It is equal to the third side.

• It is greater than the third side.

• It is double the third side.

Multiple Select

A triangle has two sides measuring 9 cm and 14 cm. Which of the following could be the length of the third side? (Select all that apply.)

• 4 cm

• 5 cm

• 10 cm

• 22 cm

Open Ended

How are medians, altitudes, and angle bisectors similar and different from a perpendicular bisector?

Multiple Choice

Which term describes BD in the first diagram?

• angle bisector

• altitude

• median

• perpendicular bisector

Fill in the Blank

In an isosceles triangle, the altitude from the vertex to the base is also the ___ of the base.

Open Ended

Determine the range of possible values for x if the sides of a triangle are 5 cm, 11 cm, and x cm. Show your reasoning using inequalities.

Multiple Choice

Which inequality correctly represents the Triangle Inequality Theorem for a triangle with sides a, b, and c?

• a + b = c

• a + b < c

• a + b > c

• a = b = c

Multiple Choice

Which term describes GE in the diagram?

• median

• altitude

• perpendicular bisector

• angle bisector

Fill in the Blank

The triangle inequality theorem states that the sum of the lengths of any two sides of a triangle must be ___ than the length of the third side.

Open Ended

Reflecting on today’s lesson about triangle properties, what is one concept you found most interesting or would like to explore further?

Open Ended

A landscaper wants to create a triangular garden with sides of 15 ft and 24 ft. She has fencing for a third side between 5 ft and 30 ft. Using the Triangle Inequality Theorem, determine which lengths within that range would form a triangle. Justify your answer with inequalities.