Applying Congruency and/or Similarity to Solve Problems

MATCH the triangles with the correct postulate.

• HL

• 
• AAS

• 
• SAS

• 
• SSS

• 
• ASA

• 

Tags

CCSS.HSG.SRT.B.5

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

Tags

CCSS.HSG.CO.B.7

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

• SSS
• SAS
• ASA
• AAS

Tags

CCSS.HSG.SRT.B.5

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

• SAS
• ASA
• AAS
• Not Possible

Tags

CCSS.HSG.SRT.B.5

∆EHG≅∆KFC
Which is a true statement?

• EH≅FK
• HG≅KF
• EG≅KC
• ∠E≅∠C

Tags

CCSS.HSG.CO.B.7

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

• AA

• SAS

• ASA

• SSS

• AAS

Tags

CCSS.HSG.SRT.B.5

• 
• 
• 
• 
• 

Tags

CCSS.HSG.SRT.A.2

Find side length X. Enter numbers only!

Tags

CCSS.HSG.SRT.A.2

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

Tags

CCSS.HSG.SRT.B.5

Solve for x.

• 8

• 7

• 5

• 10

Tags

CCSS.HSG.CO.C.9