6.4-6.6 ∆ midsegment, ∆ inequ, hinge theorem

What segment is parallel to EF?

• Segment PM
• Segment MN
• Segment NP
• Segment FG

QR is a midsegment of triangle BCD. Solve for the value of x.

• 11
• 18
• 9
• -7

If LN = 5, then AC = ______.

• 5
• 10
• 15
• 25

Find x.

• 32

• 62

• 31

• 13

Do the following side lengths form a triangle?
2 inches, 2 inches, 4 inches

• Yes
• No

What is the range of values of x for a triangle's third side given side measures of 8 and 15?

• between 8 and 15
• between 7 and 23
• less than 7, greater than 23

John travels between three different cities for his job:  Honaker, Bristol, and Danville. The most direct route to each city is the one on the diagram. 

Which route is the longest?

• Bristol and Danville

• Danville and Honaker

• Honaker and Bristol

• Not enough information

Answer explanation

First, find the missing angle: 180 - (52+63) = 65

52 degrees is the smallest angle, which is across from the shortest side of a triangle. The shortest route is between Danville and Bristol

65 degrees is the largest angle, which is across from the longest side of a triangle. The longest route is between Honaker and Bristol

Place the sides of triangle SIR in ascending order.

• Side SI, side IR, side SR

• side SR, side IR, side SI

• side SR, side SI, side IR

• side IR, side SI, side SR

Answer explanation

ascending....shortest to longest

1st: find the missing angles in triangle SIR

180-108-25=47

Therefore, angle SIR is the smallest angle and side SR would be the shortest side

and angle IRS is the largest angle and side SI would be the longest side

*NOT TO SCALE*

• <D

• <E

• <F