Triangle Inequalities Answers

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111358
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Given triangle GHJ, the measure of angle G equals 110°, the measure of angle J equals 40°, and the measure of angle H equals 30°. Complete the following statements.

Answers:
Since angle G is angle, the opposite side, JH, is .:the largest
Since angle G is angle, the opposite side, JH, is .:the longest side
The order of the side lengths from longest to shortest is .:HJ, GH, and GJ
111359

110 units long✔ the longest sidethe shortest side

A
110 units long
B
✔ the longest side
C
the shortest side
111360

GJ, GH, and HJ✔ HJ, GH, and GJHJ, GJ, and GH

A
GJ, GH, and HJ
B
✔ HJ, GH, and GJ
C
HJ, GJ, and GH
111361

Which triangle correctly shows that the side opposite the larger angle is the larger side?

A
[Image: A triangle has side lengths of 13, 5, 10 and angle...]
Option A
B
[Image: A triangle has side lengths of 5, 5, 5 and angle m...]
Option B
C
[Image: A triangle has side lengths 5, 13, 12 and angle me...]
Option C
111362

The lengths of the sides of triangle ABC are represented in terms of the variable m, where m > 6.

Answers:
angle , angle , angle:C
angle , angle , angle:B
angle , angle , angle:A
111363

A✔ BC

A
A
B
✔ B
C
C
111364

✔ ABC

A
✔ A
B
B
C
C
111365

Pat is at a right angle from Chris and Jaime, and Chris is at a 48° angle from Pat and Jaime. Which statements are true? Check all that apply.

A
Jaime is at the smallest angle from the two friends.
B
Pat is at an angle of 90° to Chris and Jaime.
C
The path between Jaime and Chris is the shortest because it is adjacent to the smallest angles.
D
If they meet at Pat’s entrance, then Chris will have walked a shorter distance than Jaime.
E
If they meet at Jaime’s entrance, then Pat will have walked a longer distance than Chris.
111366

What was the smallest angle made in her trip?

A
It is at the gas station.
B
It is at Lucy’s home.
C
It is at the post office.
D
It depends on the direction Lucy is traveling.
111368

Given GK = XZ and GH = XY, which statement must be true?

A
m∠G > m∠X
B
m∠G < m∠X
C
HG = XZ
D
HK = YZ
111370

lot 1lot 2✔ lot 3All fences are equal.

A
lot 1
B
lot 2
C
✔ lot 3
D
All fences are equal.

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