7-5 The SSA Condition and HL Congruence

Slides:

Advertisements

Similar presentations

4-4 Using Congruent Triangles: CPCTC

Advertisements

4.6 Congruence in Right Triangles

4.4 – Prove Triangles Congruent by SAS and HL Consider a relationship involving two sides, and the angle they form, their included angle. Any time you.

Ways to Prove Triangles Congruent

HL Postulate Lesson 3.8.

Hypotenuse – Leg Congruence Theorem: HL

3.8 - The HL Postulate By: David Galaydick Mike Pettinato Matt Pettinato.

4-6 Congruence in Right Triangles

4.6: Congruence in Right Triangles

4.4 – Prove Triangles Congruent by SAS and HL Consider a relationship involving two sides, and the angle they form, their included angle. Any time you.

Honors Geometry Section 4.3 AAS / RHL

12/16/09 Do Now Label the hypotenuse, legs, and acute angles of the following right triangles. A C B D E.

Congruent Triangles.  Congruent figures- ◦ They have exactly the same shape. ◦ All parts of one figure are congruent to the corresponding parts of the.

4.3: Analyzing Triangle Congruence

Right Triangle Congruence

4-6 Congruence in Right Triangles. Notice the triangles are not congruent, so we can conclude that Side-Side-Angle is NOT valid. However Side-Side-Angle,

4.6 Congruence in Right Triangles

Do Now #28:. 5.4 Hypotenuse-Leg (HL) Congruence Theorem Objective: To use the HL Congruence Theorem and summarize congruence postulates and theorems.

4.5 Even Answers.

Isosceles, Equilateral, and Right Triangles Sec 4.6 GOAL: To use properties of isosceles, equilateral and right triangles To use RHL Congruence Theorem.

5-2 Right Triangles OBJECTIVE: To recognize and use tests for congruence of right triangles.

Geometry 4-5 ASA, AAS, and HL. Vocab. Word An included side is the common side of two consecutive angles in a polygon. (The side in between two angles)

4-6 Congruence in Right Triangles M.11.C B

Proving Triangles Congruent

Congruence in Right Triangles

DO NOW!!! Solve for “x”..

Congruent Polygons Sec 6.5 GOALS: To identify congruent polygons.

Congruence in Right Triangles Chapter 4 Section 6.

4.6 Congruence in Right Triangles In a right triangle: – The side opposite the right angle is called the hypotenuse. It is the longest side of the triangle.

Isosceles Triangle ABC Vertex Angle Leg Base Base Angles.

4.6: Isosceles and Equilateral Triangles

Warm Up 12/5/12 State the 6 congruent parts of the triangles below. 10 minutes End.

Triangle Sum Theorem The sum of the angle measures in a triangle is 180 degrees.

5.5 Proving Triangle Congruence by SSS OBJ: Students will be able to use Side-Side-Side (SSS) Congruence Theorem and Hypotenuse-Leg (HL) Congruence Theorem.

CONGRUENCE IN RIGHT TRIANGLES Lesson 4-6. Right Triangles  Parts of a Right Triangle:  Legs: the two sides adjacent to the right angle  Hypotenuse:

4.6 Congruence in Right Triangles To Prove Triangles Congruent using the Hypotenuse Leg Theorem.

Proving Triangle Congruency. What does it mean for triangles to be congruent? Congruent triangles are identical meaning that their side lengths and angle.

Warm-Up Are the 2 triangle congruent? If so, write the theorem or postulate that proves them congruent. Write a congruency statement. A D C B.

Sect. 4.6 Isosceles, Equilateral, and Right Triangles

Warm Up 1.) Find the measure of the exterior angle.

Geometry-Part 7.

Proving Triangles Congruent

Triangle Congruence HL and AAS

Inequalities in two triangles

4.4 Hypotenuse-Leg (HL) Congruence Theorem

Right Triangles What are the additional congruence theorems used only for right triangles? Which combination of sides for triangles in general cannot.

8-2 Special Right triangles

Other Methods of Proving Triangles Congruent

Proving Triangles Congruent

8-2 Special Right Triangles

Prove the two triangles are congruent.

Triangle Congruence HL and AAS

Identifying types and proofs using theorems

4.1 Congruent Figures -Congruent Polygons: have corresponding angles and sides -Theorem 4.1: If 2 angles of 1 triangle are congruent to 2 angles of another.

Isosceles, Equilateral, and Right Triangles

4-6 Congruence in Right Triangles

(AAS) Angle-Angle-Side Congruence Theorem

Isosceles, Equilateral, and Right Triangles

Special Right Triangles

4.6 Congruence in Right Triangles

Proving Triangles are Congruent

Triangle Congruency Theorems (shortcuts)

5-2 Right Triangles Objectives:

Properties of Triangle Congruence

Lesson 3-2 Isosceles Triangles.

Lesson 3-2 Isosceles Triangles.

Proving Triangles Congruent

Advanced Geometry Section 3.8 The HL Postulate

4.2 /4.3 – Triangle Congruence

Presentation transcript:

7-5 The SSA Condition and HL Congruence

7-5 The SSA Condition and HL Congruence The abbreviations SsA and HL stand for two other combinations of measures of corresponding sides and angles in two triangles that are sufficient for the congruence of the triangles.

7-5 The SSA Condition and HL Congruence Are all triangles with the condition shown congruent to the triangle shown? Does this new triangle fit the condition? Is it congruent to the first triangle?

7-5 The SSA Condition and HL Congruence SsA Congruence Theorem If two sides and the angle opposite the longer of the two sides in one triangle are congruent respectively to two sides and corresponding angle in another triangle, then the triangles are congruent.

7-5 The SSA Condition and HL Congruence Does SsA apply to any of these triangles?

7-5 The SSA Condition and HL Congruence HL Congruence Theorem If, in two right triangles, the hypotenuse and a leg of one are congruent to the hypotenuse and a leg of the other, then the two triangles are congruent.