Hypotenuse Leg Theorem Worksheet and Activity PDF
Hypotenuse Leg Theorem Worksheet and Activity PDF
Hypotenuse Leg Theorem Worksheet and Activity PDF
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TEACHERS: Feel free to make copies of this worksheet for the sole purpose of use in
your own classroom. ENJOY!!! Redistribution in any other form is prohibited.
© www.mathwarehouse.com
Warm Up
1) How long is AC ?
2) How long is XZ ?
3) Is ABC XYZ?
Pair A Pair B
What additional information would you need to prove the triangles are congruent using
the Hypotenuse-Leg Postulate?
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Model Proof Web PowerPoint Solution
Proof A)
Given: AD BC, BA AC
Prove: ABD ACD
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Proof B)
Given: DE is an altitude.
DF DC
Prove: DEF DEC
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Proof C)
Given: DE is a perpendicular bisector of FC.
DF DC
Prove: DEF DEC
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Proof D )
Given: LN is an altitude
LM LO
Prove: LNM LON
Proof E)
Challenge Proof
Given: AD DF, BE EC
EF DC, BC AF
Prove: BEC ADF
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Proof F)
Given: LN is the perpendicular bisector of MO
Prove: LNM LON
Proof G)
Given: FD DC, DE is an altitude
Prove: DEF DEC
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Think Pair Share
Ray and Angel were having a debate. Ray says that there should be a “Leg-Leg” theorem
because if two right triangles have 2 congruent legs, then the triangles must be
congruent. (The hypotenuses will be equal after all)
Angel disagrees—Although it’s true that a pair of right triangles with congruent legs
must be congruent, we don’t need a leg leg theorem since we have SAS.
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URL on the Hypotenuse Leg Theorem
http://www.mathwarehouse.com/geometry/congruent_triangles/hypotenuse-leg-
theorem.php
© www.mathwarehouse.com
TEACHERS: Feel free to make copies of this worksheet for the sole purpose of use in
your own classroom. ENJOY!!! Redistribution in any other form is prohibited.
© www.mathwarehouse.com