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