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

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

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.