TechMathI - 4.2 - Proving Triangles Congruent
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The document discusses three postulates for triangle congruence: 1) Angle-Side-Angle (ASA) postulate - If two angles and the included side of one triangle are congruent to another triangle, then the triangles are congruent. 2) Angle-Angle-Side (AAS) postulate - If two angles and a non-included side of one triangle are congruent to another, then the triangles are congruent. 3) Side-Side-Side (SSS) postulate - If three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.
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This will help you in naming an angle and identifying its kinds.
For more instructional resources, CLICK me here! 👇👇👇
https://tinyurl.com/y9muob6q
LIKE and FOLLOW me here! 👍👍👍
https://tinyurl.com/ycjp8r7u
https://tinyurl.com/ybo27k2u
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Angles are formed by two rays that share a common endpoint called the vertex. There are different types of angles including acute, right, obtuse, straight, and reflex angles defined by whether they are less than, equal to, or greater than 90 degrees. Angles can be named using letters at the vertex and endpoints of the rays or numbers inside the rays. Their relationships to one another include being congruent, supplementary, complementary, or formed by intersecting lines.
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This document discusses different ways to prove that two triangles are congruent, including:
1) Side-Side-Side (SSS), which proves congruence if all three sides of one triangle are congruent to the corresponding sides of the other triangle.
2) Side-Angle-Side (SAS), which proves congruence if two sides and the included angle of one triangle are congruent to the corresponding parts of the other triangle.
3) Angle-Side-Angle (ASA), which proves congruence if two angles and the side between them of one triangle are congruent to the corresponding parts of the other triangle.
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4. AAS (angle-angle-side)
5. HL (hypotenuse-leg) for right triangles only.
It also covers built-in information in triangles like shared sides, parallel lines, and vertical angles that can be used for proofs. The document provides examples of congruence proofs using these methods and concepts like corresponding parts of congruent triangles.
10.17 Triangle Congruence Proofs Day 2.ppt
The document discusses different methods for proving triangles congruent:
1. SSS (side-side-side)
2. SAS (side-angle-side)
3. ASA (angle-side-angle)
4. AAS (angle-angle-side)
5. HL (hypotenuse-leg) for right triangles only.
It provides examples of using these methods to determine if pairs of triangles are congruent or not. It also discusses using corresponding parts of congruent triangles (CPCTC) to prove additional parts are congruent if two triangles are already shown to be congruent.
10.17 Triangle Congruence Proofs Day 2.ppt
The document discusses different methods for proving triangles congruent:
1. SSS (side-side-side)
2. SAS (side-angle-side)
3. ASA (angle-side-angle)
4. AAS (angle-angle-side)
5. HL (hypotenuse-leg) for right triangles only.
It provides examples of using these methods to determine if pairs of triangles are congruent or not. It also discusses using corresponding parts of congruent triangles (CPCTC) to prove additional parts congruent, such as adding auxiliary lines.
11X1 T07 03 congruent triangles (2010)
The document discusses congruent triangles and the different tests that can be used to prove triangles are congruent. It states that in order to prove triangles are congruent, three pieces of information are required. It then lists and describes the four main tests: (1) Side-Side-Side, (2) Side-Angle-Side, (3) Angle-Angle-Side, and (4) Right Angle-Hypotenuse-Side. It provides an example proof using these tests and also defines different types of triangles like isosceles and equilateral triangles. Finally, it discusses some triangle terminology like altitude and median.
11 x1 t07 03 congruent triangles (2012)
The document discusses congruent triangles and the different tests that can be used to prove triangles are congruent. It states that in order to prove triangles are congruent, three pieces of information are required. It then lists and describes the four main tests: (1) Side-Side-Side, (2) Side-Angle-Side, (3) Angle-Angle-Side, and (4) Right Angle-Hypotenuse-Side. It provides an example proof using these tests and also defines different types of triangles like isosceles and equilateral triangles. Finally, it discusses some triangle terminology like altitude and median.
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TechMathI - 4.2 - Proving Triangles Congruent
- 1. (when possible) Bell Ringer Name That Postulate
- 4. The side between two angles Included Side GI HI GH
- 5. Name the included side: Y and E E and S S and Y Included Side YE ES SY S Y E
- 8. Warning: No SSA Postulate A C B D E F NOT CONGRUENT There is no such thing as an SSA postulate!
- 9. Warning: No AAA Postulate A C B D E F There is no such thing as an AAA postulate! NOT CONGRUENT
- 10. Name That Postulate SAS ASA SSS SSA (when possible)
- 11. Let’s Practice Indicate the additional information needed to enable us to apply the specified congruence postulate. For ASA: For SAS: B D For AAS: A F AC FE
- 12. You try! Indicate the additional information needed to enable us to apply the specified congruence postulate. For ASA: For SAS: For AAS: