Applying Congruency and/or Similarity to Solve Problems

MATCH the triangles with the correct postulate.

• SAS

• 
• AAS

• 
• HL

• 
• SSS

• 
• ASA

• 

Imagine David and Rohan are on a treasure hunt. They find two mysterious triangles, ∆ABC and ∆XYZ, hidden in an ancient book. The book says, '∆ABC≅∆XYZ'.
What does this clue tell them about the sides of the triangles?

• AB≅XY

• AB≅YX

• AB≅XZ

• BC≅CB

Name the postulate, if possible, that makes the triangles congruent.

• SSS
• SAS
• ASA
• AAS

Name the postulate, if possible, that makes the triangles congruent.

• SAS
• ASA
• AAS
• Not Possible

∆EHG≅∆KFC
Which is a true statement?

• EH≅FK
• HG≅KF
• EG≅KC
• ∠E≅∠C

Which shortcuts can be used to determine if two triangles are similar? Select All That Apply!

• AA

• SAS

• ASA

• SSS

• AAS

• 
• 
• 
• 
• 

Find side length X. Enter numbers only!

Elijah, Olivia, and Maya are on a treasure hunt in a magical forest. They stumble upon an ancient tree with a treasure chest hanging from its highest branch. To retrieve it, they need to figure out the height of the tree. Can you help them find out how tall the tree is?

• 8 ft

• 12 ft

• 13 ft

• 15 ft

Solve for x.

• 8

• 7

• 5

• 10