Inequalities in Two Triangles

Inequalities in Two Triangles

Multiple Choice

Which of the following must be true?

• AS < YU

• SK > YU

• SK < YU

• AK = YU

Multiple Choice

Using the hinge theorem, we can say that Angle 1 _____ Angle 2.

• Less than

• Greater than

• Equal to

• Half of

Multiple Choice

Fill in the blank:

If two sides of one triangle are congruent to two sides of another triangle, and the included angle of the first is larger than the included angle of the second, then the third side of the first is ____________ the third side of the second.

• shorter than

• longer than

• equal to

Multiple Choice

Find the range of possible values of x.

• x < 21

• x < 41

• -20 < x < 21

• -20 < x < 160

Multiple Choice

The angle that a person makes as he or she is sitting changes with the task. The diagram shows the position of a student at his desk. In which position is the angle measure a° at which he is sitting the greatest?

• Relaxed

• Writing

• Typing

• Running

Exit Ticket

Inequalities in Two Triangles Quiz

Multiple Choice

Use the figure to write an inequality relating the given pair of segment measures.

WU and YU

• WU < YU

• WU > YU

• WU = YU

Multiple Choice

Compare m∠TUW and m∠VUW

• m∠TUW < m∠VUW

• m∠TUW > m∠VUW

• m∠TUW = m∠VUW

Multiple Choice

• <

• >

• =

Multiple Choice

Compare  $m\angle ACB\$ and  $m\angle GDE$  

• $m\angle ACB\ >\ m\angle GDE$

• $m\angle ACD\ <\ m\angle GDE$

• $m\angle ACB\ =\ m\angle GDE$

• $\angle ACB\ \cong\ \angle GDE$

Multiple Choice

Can a triangle be formed with line segments that have lengths 2, 8 and 14 units?

• No, because these line segments wouldn't satisfy the triangle inequality theorem

• No, because there are only two sides to a triangle

• Yes, because these line segments satisfy the triangle inequality theorem

• Yes, because 8< 14

Multiple Choice

Compare PS and SR.

• PS < SR

• PS > SR

• PS = SR

Multiple Choice

Choose the TRUE statement.

• $KL>MN$

• $KL<MN$

• $KL=MN$

• The above statements are all false.

Multiple Choice

Choose the TRUE statement.

•  $AC>DF$  

•  $AC<DF$  

•  $AC=DF$  

• The above statements are all false.

Multiple Choice

What are the possible values for x?

• x < 16

• 4 < x < 16

• x < 40

• 4 < x < 40