Triangle Inequality Review

Tomorrow: You have a quiz over Lesson 1-3

1. Watch each video...ESPECIALLY if you've been absent.

2. Complete each question set: There is ONLY 1 CHANCE per question but you can do this review more than once!

3. Finish any missing work from Unit 5 on Google Classroom. Unit 4 is closed.

​Today: This is your review

Click the links to watch EACH video.
SKIPPING THIS STEP IS BEING OFF TASK!
Lesson 1: Inequalities in one Triangle 

I understand the relationship between angles and their opposite sides and use it.
Video 1: Putting sides in order

I know the Triangle Inequality Theorem and can use it to write inequalities for sides.

Video 1: What is the Triangle Inequality Theorem?

Video 2: Deciding if 3 sides make a triangle

Video 3: Writing inequalities for a possible 3rd side.

Lesson 2: Inequalities in 2 Triangles
I know the Triangle Hinge Theorem  and use it to write inequalities for triangle sides. 
Video 1 - What is Hinge Theorem?
Video 2 - Writing Inequalities with Hinge Theorem.

Lesson 3: Triangle Midsegments

• I know the Triangle Midsegment Theorem and can use it to find sides and angles.  

 Video 1 - What is the Triangle Midsegment Theorem?

Multiple Choice

Identify the side opposite of angle A in ΔABC.

• BC

• AB

• AC

• CA

Drag and Drop

Order angles in ΔABC from least to greatest. ​ ​

Placeholder

​

Placeholder

​

Placeholder

Drag these tiles and drop them in the correct blank above

B

A

C

5

6

7

Multiple Choice

Identify the longest and shortest sides of ΔJKL.

• Longest: JK Shortest: KL

• Longest: JL Shortest: JK

• Longest: KL Shortest: JL

• Longest: JL Shortest: KL

Fill in the Blanks

Multiple Choice

Does a triangle with these side lengths exist?
15, 12, 9

• Yes
• No
• I don't know.

Drag and Drop

Write an inequality to describe the possible 3rd side of a triangle with the sides of 13 and 17.

​

Placeholder

< ​

Placeholder

<​

Placeholder

Drag these tiles and drop them in the correct blank above

4

x

30

-4

13

17

3

Drag and Drop

Write an inequality to describe the possible 3rd side of a triangle with the sides of 3 and 17.

​

Placeholder

< ​

Placeholder

<​

Placeholder

Drag these tiles and drop them in the correct blank above

14

x

20

-14

13

17

3

30

Match

Match the Theorem to the Description:

• Triangle Inequality Thm

• Triangle Hinge Thm

• Triangle Midsegment Thm

The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

If 2 sides of 2 triangles are congruent and the included angle is greater than the other, then that triangle’s side is also greater than the side of the other.

The midsegments of triangles are parallel and half the length of the opposite side

• The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

• If 2 sides of 2 triangles are congruent and the included angle is greater than the other, then that triangle’s side is also greater than the side of the other.

• The midsegments of triangles are parallel and half the length of the opposite side

Multiple Choice

Fill in the inequality sign (< or >) for the diagrams below: AC ____ DF.

• AC > DF

• AC < DF

• AC = DF

• AC >= DF

Fill in the Blanks

Multiple Choice

Fill in the inequality sign (< or >) for the diagrams below:

m<QRP ___ m<SRP

• <

• >

• =

• ≤

Fill in the Blanks

Multiple Choice

Write an Inequality that could be used to solve for x using the diagram below.

• 2x + 34 >9x - 22

• 2x + 34 < 9x - 22

• 2x + 34 = 9x - 22

• x+ 35 > x+ 18

Multiple Choice

Write an Inequality that could be used to solve for x using the diagram below.

• 5x -4 >38-x

• 5x -4 <38-x

• 5x -4 =38-x

• x+ 65 > x+ 55

Drag and Drop

Complete the statements for the diagram below: F, B & D are midpoints

AC || ​

Placeholder

.

BD || ​

Placeholder

.

FB = 1/2 (​

Placeholder

).

​

Placeholder

= 1/2 (AE).

Drag these tiles and drop them in the correct blank above

FD

AE

BD

EC

AB

BC

AF

EF

Drag and Drop

Complete the statements for the diagram below: F, B & D are midpoints

AE || ​

Placeholder

.

FB || ​

Placeholder

.

FD= 1/2 (​

Placeholder

).

​

Placeholder

= 1/2 (EC).

Drag these tiles and drop them in the correct blank above

FD

EC

BD

AC

AB

BC

AF

EF

FB

Math Response

Using the diagram above. If AC = 30, How long is FD? ______

Type answer here

Correct Answer: 15

Deg^°

Rad

Math Response

Using the diagram above. If AB = 30, How long is FD? ______

Type answer here

Correct Answer: 30

Deg^°

Rad

Poll

Click on the picture. Then Select where you are on the rubric for Lesson 1 LT1

• Mastery

• Proficient

• Approaching

• Beginning

Poll

Click on the picture. Then Select where you are on the rubric for Lesson 1 LT2

• Mastery

• Proficient

• Approaching

• Beginning

Poll

Click on the picture. Then Select where you are on the rubric for Lesson 2

• Mastery

• Proficient

• Approaching

• Beginning

Poll

Click on the picture. Then Select where you are on the rubric for Lesson 3

• Mastery

• Proficient

• Approaching

• Beginning

​You have a quiz tomorrow.
If you are at Approaching/Beginning for any lesson: Click here to to the video study guide and PRACTICE.

If you are at Mastery/Proficient then you're ready for the quiz!

Now go and complete any missing work for Unit 5!
Nothing missing? (Read/Write/Draw/Do Other Work ) --> No phone please!