Showing Triangles Congruent

Given the diagram, which of the following is true?

• ∆XSF ≅ ∆XTG

• ∆SXF ≅ ∆GXT

• ∆FXS≅ ∆XGT

• ∆FXS ≅ ∆GXT

Tags

CCSS.HSG.SRT.B.5

Are these triangles congruent?

• Yes - RHS

• Yes - SSA

• Yes - SAS

• No - They are different triangles

Tags

CCSS.HSG.SRT.B.5

ASA, AAS or Neither

• ASA

• AAS

• Neither

Tags

CCSS.HSG.SRT.B.5

What triangle is congruent to EFI? 

• HFG

• GHI

• FHI

• GFH

Tags

CCSS.HSG.CO.B.7

What reason would you put for (which justifies why AC = AC is true)?

• Vertical angles are congruent

• Reflexive Property

• Given

• Prove

Tags

CCSS.HSG.SRT.B.5

• Vertical Angle theorem

• Alternate interior angle theorem

• Alternate exterior angle theorem

• SAS postulate

Tags

CCSS.HSG.SRT.B.5

What is the "statement" for step 3 of the proof?

• AD≌DA

• AD≌AD

• HD≌ND

• HD≌DN

Tags

CCSS.HSG.SRT.B.5

What side in triangle DEF is congruent to side AB?

• EF

• DF

• DE

• BC

Tags

CCSS.HSG.CO.B.7

Are the figures shown above CONGRUENT?

• No, triangle XYZ has been rotated upside down.

• Yes, the triangles are the same shape and the same size.

Tags

CCSS.8.G.A.2

Triangle ABC and triangle XYZ are congruent. What is the measure of angle X?

• 25

• 35

• 120

• 180

Tags

CCSS.HSG.CO.B.7