t to the hypotenuse and a leg of 2-4. Leg Acute (LA) and Leg Leg (LL) Theorems. And finally, we have the Leg Angle Congruence Theorem. ACI GCE D R P Q M F A C E G I 3. Prove that AEB, AEC, and AED are congruent. ADG HKN T Q S R A D G H K N Mark the appropriate sides to make each congruence statement true by the Leg-Leg Congruence Theorem. DPR QFM 2. If they hypotenuse and a leg of a right triangle are congruent to the hypotenuse and leg of another right triangle, then the two triangles are congruent. Mark the appropriate sides to make each congruence statement true by the Hypotenuse-Leg Congruence Theorem. This congruence theorem is a special case of the AAS Congruence Theorem. QTR SRT 4. Congruent Figures. Hypotenuse – Leg Postulate (HL): If a hypotenuse and a leg of one right triangle are congruent to a hypotenuse and a leg of another right triangle, then the triangles are congruent Right Angle Theorem (R.A.T. MNO QPO N B Z G T C O Right Triangles The Leg Acute Theorem seems to be missing "Angle," but "Leg Acute Angle Theorem" is just too many words. HL Congruence Theorem Using the Hypotenuse-Leg Congruence Theorem The television antenna is perpendicular to the plane containing points B, C, D, and E. Each of the cables running from the top of the antenna to B, C, and D has the same length. ): All right angles are congruent. Side Names of Triangles Right Triangles: side across from right angle is the hypotenuse, the remaining two are legs. In a previous course you investigated congruent tliangles. Corollary to Theorem 4.9: If a triangle is equiangular, then it is also equilateral. 5. 5.4 Hypotenuse-Leg (HL) Congruence Theorem Objective: To use the HL Congruence Theorem and summarize congruence postulates and theorems. HOMEWORK HELP Extra help with problem solving in Exs. ): Vertical angles are congruent. Corollary to Theorem 4.8: If a triangle is equilateral, then it is also equiangular. LA Congruence Theorem If a leg and an acute angle of one right triangle are congruent to a leg and an acute angle of another right triangle, the triangles are congruent. Theorem 4.10 Hypotenuse- Leg (HL) Congruence Theorem: If the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and leg of a midsegment of a triangle. 5.4 Hypotenuse-Leg Congruence Theorem: HL 261 Meghan TABC cT CDA by the SSS Congruence Postulate. 25–28 is at classzone .com IStudent Help leg leg hypotenuse Examples: Tell whether the segment is a leg or a hypotenuse. If the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and a corresponding leg of another right triangle, then the two triangles are congruent. Postulate 21 Angle­Side­Angle (ASA) Congruence Postulate: If two angles and the included side of one triangle are congruent to two angles and the included side of a second triangle, then the two triangles are congruent. Theorem 4.6 Angle­Angle­Side (AAS) Congruence Theorem: Read the Math Notes box tlus lesson to review the tliangle congruence theorems. HL Congruence Theorem (HL) – If the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then the triangles are congruent. BZN TGC 6. Vertical Angle Theorem (V.A.T. Problem 23 Hard Difficulty. segment connecting the midpoints of two sides of a triangle. Keith TABC cT CDA by the SAS Congruence Postulate. 1. HL f the hypotenuse and a leg of one right triangle are con o er right triangle, then the triangles are congruent. Hypotenuse-Leg Congruence Theorem. Angle-Leg (AL) Congruence Theorem If an angle and a leg of a right triangle are congruent to an angle and a leg of a second right triangle, then the triangles are congruent. All the parts of one figure are congruent to the corresponding parts of the other figure. 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