25–28 is at classzone .com IStudent Help Right triangles are aloof. ACI GCE D R P Q M F A C E G I 3. Hypotenuse-Leg Congruence Theorem. 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. segment connecting the midpoints of two sides of a triangle. 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. 5.4 Hypotenuse-Leg (HL) Congruence Theorem Objective: To use the HL Congruence Theorem and summarize congruence postulates and theorems. Geometry 60 Geometry 60 . 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. 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 5. Vertical Angle Theorem (V.A.T. In a previous course you investigated congruent tliangles. 1. HOMEWORK HELP Extra help with problem solving in Exs. 5.4 Hypotenuse-Leg Congruence Theorem: HL 261 Meghan TABC cT CDA by the SSS Congruence Postulate. t to the hypotenuse and a leg of 2-4. Right Triangles Prove that AEB, AEC, and AED are congruent. Corollary to Theorem 4.9: If a triangle is equiangular, then it is also equilateral. Leg Acute (LA) and Leg Leg (LL) Theorems. Theorem 4.6 Angle­Angle­Side (AAS) Congruence Theorem: Given AE — ⊥ EB —, AE — ⊥ EC —, AE — leg leg hypotenuse Examples: Tell whether the segment is a leg or a hypotenuse. 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. 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. Side Names of Triangles Right Triangles: side across from right angle is the hypotenuse, the remaining two are legs. HL f the hypotenuse and a leg of one right triangle are con o er right triangle, then the triangles are congruent. 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 Hypotenuse-Leg Congruence Theorem. The Leg Acute Theorem seems to be missing "Angle," but "Leg Acute Angle Theorem" is just too many words. Keith TABC cT CDA by the SAS Congruence Postulate. ): Vertical angles are congruent. 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. Congruent Figures. Problem 23 Hard Difficulty. Corollary to Theorem 4.8: If a triangle is equilateral, then it is also equiangular. All the parts of one figure are congruent to the corresponding parts of the other figure. 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. BZN TGC 6. 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. 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