All the parts of one figure are congruent to the corresponding parts of the other figure. 1. Angie TABC cT CDA by the Hypotenuse-Leg Congruence Theorem. 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. Prove that AEB, AEC, and AED are congruent. 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. This congruence theorem is a special case of the AAS Congruence Theorem. The Leg Acute Theorem seems to be missing "Angle," but "Leg Acute Angle Theorem" is just too many words. QTR SRT 4. Problem 23 Hard Difficulty. BZN TGC 6. Read the Math Notes box tlus lesson to review the tliangle congruence theorems. 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 right angles 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. 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. 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. 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. HL f the hypotenuse and a leg of one right triangle are con o er right triangle, then the triangles are congruent. Side Names of Triangles Right Triangles: side across from right angle is the hypotenuse, the remaining two are legs. Leg Acute (LA) and Leg Leg (LL) Theorems. They stand apart from other triangles, and they get an exclusive set of congruence postulates and theorems, like the Leg Acute Theorem and the Leg Leg 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 In a previous course you investigated congruent tliangles. 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. t to the hypotenuse and a leg of 2-4. Right triangles are aloof. ACI GCE D R P Q M F A C E G I 3. 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. 5.4 Hypotenuse-Leg Congruence Theorem: HL 261 Meghan TABC cT CDA by the SSS Congruence Postulate. DPR QFM 2. Hypotenuse-Leg Congruence Theorem. MNO QPO N B Z G T C O leg leg hypotenuse Examples: Tell whether the segment is a leg or a hypotenuse. Keith TABC cT CDA by the SAS Congruence Postulate. 25–28 is at classzone .com IStudent Help Hypotenuse-Leg Congruence Theorem. Given AE — ⊥ EB —, AE — ⊥ EC —, AE — ): Vertical angles are congruent. And finally, we have the Leg Angle Congruence Theorem. Right Triangles Vertical Angle Theorem (V.A.T. Congruent Figures. Mark the appropriate sides to make each congruence statement true by the Hypotenuse-Leg Congruence Theorem. Corollary to Theorem 4.8: If a triangle is equilateral, then it is also equiangular. 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