Practice Worksheet: Triangle Congruence



Practice Worksheet: Triangle Congruence Name:___________

In exercises 1-3, name a triangle congruent to the given triangle and state the congruence conjecture. If you cannot show any triangles to be congruent from the information given, write “cannot be determined” and explain why.

1.

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2.

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3.

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4. Given that ABCD is a rectangle, which congruence conjecture tells you that ∆ABC ≅ ∆CDA?

[pic]Conjecture: __ __ __

5. Given that ∆ABC is an equilateral triangle, that D, E, and F are the midpoints of sides AB, BC, and CA respectively, what congruence conjecture tells you that ∆AFD ≅ ∆FDE?

Can you think of more than one conjecture that will justify it?

[pic]Conjecture: __ __ __

6. ∆ABC is an isosceles triangle and AD is the angle bisector of ∠A. What congruence conjecture tells you that ∆ CDA ≅ ∆ BDA?

[pic]Conjecture: __ __ __

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