5-3 HG Inequalities in One Triangle

5-3 HG Inequalities in One Triangle

Multiple Choice

Where would the largest angle of a triangle be located?

• Across from the longest side.

• Across from the shortest side

• I need more information to get an answer.

Multiple Choice

The smallest angle would be located where in a triangle?

• Across from the smallest side.

• Across from the largest side

• Cannot tell

Multiple Choice

Name the smallest angle in this triangle.

• ∠A

• ∠B

• ∠C

Multiple Choice

Name the largest angle in this triangle.

• ∠D
• ∠E
• ∠F

Multiple Choice

Find the largest angle in Δ PRQ

• ∠R

• ∠P

• ∠Q

• ∠S

Multiple Choice

Which angles are less than

 $m\angle4$  ?

• 6, 7

• 2, 3

• 7, 8

• 1, 2

• 5, 7

Use the Exterior Angle Inequality Theorem

• If  $m\angle1=114\degree$  and  $m\angle4=2x+4$  

• Then the restrictions on x would be  $114>2x+4$  

• Which is  $x<55$  

Multiple Choice

Write the restrictions on x: The value of x must be greater than ______

• -2

• 0

• 18

• 88

Multiple Choice

Write the restrictions on x: The value of x must be less than _______

• 3

• 34

• 37

• 57

• 102

Multiple Choice

Name the sides from LARGEST to SMALLEST

• KJ, KH, JH
• JH, KH, KJ
• KH, KJ, JH
• KH, JH, KJ

Multiple Choice

Name the sides from SMALLEST to LARGEST

• RS, ST, TR
• ST, RT, RS
• RT, ST, RS
• RT, RS, ST

Multiple Choice

Name the angles from SMALLEST to LARGEST

• Q, R, P
• P, Q, R
• R, P, Q
• R, Q, P

Multiple Choice

Order the sides from greatest to least

• a , b , c

• b , c , a

• c , b , a

• a , c , b

Multiple Choice

Find the longest side of ΔABC, with m∡A = 50, m∡B = 2x - 10, m∡C = 5x.

• AB

• BC

• AC

• ∡C

Multiple Choice

List the sides of the triangle in order from shortest to longest:

ΔDEF, with m∡D = 20, m∡E = 120, and m∡F = 40

• EF, DE, DF

• DE, DF, EF

• DF, DE, EF

• DF, EF, DE

Multiple Choice

List the angles of the triangle in order from smallest to largest:

ΔXYZ, where XY = 12, YZ = 24, ZX = 30

• ∡Z, ∡X, ∡Y

• ∡X, ∡Y, ∡Z

• ∡Z, ∡Y, ∡X

• ∡Y, ∡Z, ∡X

Multiple Choice

In ∆LMN, the measure of ∠L is 51° and the measures of ∠M is 48°. Which of the following inequalities concerning the lengths of the sides of ∆LMN is true?

• MN>LM

• LN+MN<LM

• LN>MN

• LM>LN