Given AE — ⊥ EB —, AE — ⊥ EC —, AE — Mark the appropriate sides to make each congruence statement true by the Hypotenuse-Leg Congruence Theorem. 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. Read the Math Notes box tlus lesson to review the tliangle congruence theorems. The Leg Acute Theorem seems to be missing "Angle," but "Leg Acute Angle Theorem" is just too many words. HL f the hypotenuse and a leg of one right triangle are con o er right triangle, then the triangles are congruent. Angie TABC cT CDA by the Hypotenuse-Leg Congruence Theorem. Keith TABC cT CDA by the SAS Congruence Postulate. And finally, we have the Leg Angle Congruence Theorem. 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. Hypotenuse-Leg Congruence Theorem. DPR QFM 2. Prove that AEB, AEC, and AED are congruent. 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. midsegment of a triangle. Geometry 60 Geometry 60 . QTR SRT 4. 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. ): Vertical angles are congruent. Theorem 4.6 Angle­Angle­Side (AAS) Congruence Theorem: t to the hypotenuse and a leg of 2-4. Side Names of Triangles Right Triangles: side across from right angle is the hypotenuse, the remaining two are legs. 5.4 Hypotenuse-Leg (HL) Congruence Theorem Objective: To use the HL Congruence Theorem and summarize congruence postulates and theorems. MNO QPO N B Z G T C O 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. Problem 23 Hard Difficulty. Right Triangles Leg Acute (LA) and Leg Leg (LL) Theorems. ): All right angles are congruent. 5.4 Hypotenuse-Leg Congruence Theorem: HL 261 Meghan TABC cT CDA by the SSS Congruence Postulate. BZN TGC 6. ACI GCE D R P Q M F A C E G I 3. Corollary to Theorem 4.9: If a triangle is equiangular, then it is also equilateral. HOMEWORK HELP Extra help with problem solving in Exs. leg leg hypotenuse Examples: Tell whether the segment is a leg or a hypotenuse. Right triangles are aloof. Vertical Angle Theorem (V.A.T. 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. This congruence theorem is a special case of the AAS Congruence Theorem. 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 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. All the parts of one figure are congruent to the corresponding parts of the other figure. 1. 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. 25–28 is at classzone .com IStudent Help segment connecting the midpoints of two sides of a triangle. Congruent Figures. 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