Similar Figures 3: Missing Angles

Similar Figures: Missing Angles Fill in notes

Multiple Choice

A triangle's angles add up to...

• 90 Degrees
• 180 Degrees
• 360 Degrees
• OVER 9000 Degrees

Multiple Choice

A Quadrilateral's angles add up to...

• 90 Degrees
• 180 Degrees
• 360 Degrees
• OVER 9000 Degrees

Multiple Choice

In similar figures; angles are __________

• Proportional

• Congruent

• All different

​Use similarity statement to match angles (letters and degrees!)
Fill in notes below!

Multiple Choice

Which angle matches angle L?

• $$\angle R$$

• $$\angle S$$

• $$\angle T$$

Multiple Choice

Which is the measure of  angle L?

• $$72\degree$$  
  

• $$28\degree$$

• $$80\degree$$  
  

Multiple Choice

What is the measure of angle F ?

• 30

• 85

• 60

• 65

Multiple Choice

Pentagon JKLMN is similar to pentagon VWXYZ.
What is the measurement of angle X?

• 30 degrees
• 60 degrees
• 150 degrees
• 120 degrees

Redraw figures to help write similarity statement first! Add angle measurements too!

​

​

​Q

​Q

S

T

P

R

​40⁰

​40⁰

​70⁰

​ΔSQT ∼ ∆ PQR

Look ONLY at the large triangle. Write the angles given to find <R. (remember all angles =180

​180 - (70 + 40) = 70

Fill in the matching angles and degrees!

​

​

​Q

​Q

S

T

P

R

​40⁰

​40⁰

​70⁰

​ΔSQT ∼ ∆ PQR

Multiple Choice

Find the measure of the missing angle.

• 90^o
• 10⁰
• 130^o
• 50^o

Multiple Choice

What is the measure of angle R?

Remember to do 180 - L - T

• $$38\degree$$  

• $$70\degree$$  

• $$72\degree$$  

Multiple Choice

What angle matches angle R?

• G 

• P  

• M 
  

Multiple Choice

What is the measure of angle M?

• $$38\degree$$  

• $$70\degree$$  

• $$72\degree$$  

Notice how the big figure turned. They are both trapeqoids, so top angles are equal and bottom angles are equal. Add in angles!

​Q

95

95⁰

Match

Match the following using the diagram!

• <M

• <I

• <K

• <L

95

95

85

85

• 95

• 95

• 85

• 85

Make sure you filled in the answers on your notes!

​Q

95⁰

Great work finding missing angles!

Now go to DESMOS for your practice assignment