Lesson 4 3 Congruent Triangles Congruent triangles triangles
![Lesson 4 -3 Congruent Triangles • Congruent triangles- triangles that are the same size Lesson 4 -3 Congruent Triangles • Congruent triangles- triangles that are the same size](https://slidetodoc.com/presentation_image_h2/0867ea748a9baf1273e3400300a98c11/image-1.jpg)
![Lesson 4 -3 Congruent Triangles • Theorem 4. 4 Properties of Triangle Congruence • Lesson 4 -3 Congruent Triangles • Theorem 4. 4 Properties of Triangle Congruence •](https://slidetodoc.com/presentation_image_h2/0867ea748a9baf1273e3400300a98c11/image-2.jpg)
![ARCHITECTURE A tower roof is composed of congruent triangles all converging toward a point ARCHITECTURE A tower roof is composed of congruent triangles all converging toward a point](https://slidetodoc.com/presentation_image_h2/0867ea748a9baf1273e3400300a98c11/image-3.jpg)
![ARCHITECTURE A tower roof is composed of congruent triangles all converging toward a point ARCHITECTURE A tower roof is composed of congruent triangles all converging toward a point](https://slidetodoc.com/presentation_image_h2/0867ea748a9baf1273e3400300a98c11/image-4.jpg)
![The support beams on the fence form congruent triangles. a. Name the corresponding congruent The support beams on the fence form congruent triangles. a. Name the corresponding congruent](https://slidetodoc.com/presentation_image_h2/0867ea748a9baf1273e3400300a98c11/image-5.jpg)
![COORDINATE GEOMETRY The vertices of RST are R(─3, 0), S(0, 5), and T(1, 1). COORDINATE GEOMETRY The vertices of RST are R(─3, 0), S(0, 5), and T(1, 1).](https://slidetodoc.com/presentation_image_h2/0867ea748a9baf1273e3400300a98c11/image-6.jpg)
![Use the Distance Formula to find the length of each side of the triangles. Use the Distance Formula to find the length of each side of the triangles.](https://slidetodoc.com/presentation_image_h2/0867ea748a9baf1273e3400300a98c11/image-7.jpg)
![Use the Distance Formula to find the length of each side of the triangles. Use the Distance Formula to find the length of each side of the triangles.](https://slidetodoc.com/presentation_image_h2/0867ea748a9baf1273e3400300a98c11/image-8.jpg)
![Use the Distance Formula to find the length of each side of the triangles. Use the Distance Formula to find the length of each side of the triangles.](https://slidetodoc.com/presentation_image_h2/0867ea748a9baf1273e3400300a98c11/image-9.jpg)
![Answer: The lengths of the corresponding sides of two triangles are equal. Therefore, by Answer: The lengths of the corresponding sides of two triangles are equal. Therefore, by](https://slidetodoc.com/presentation_image_h2/0867ea748a9baf1273e3400300a98c11/image-10.jpg)
![COORDINATE GEOMETRY The vertices of RST are R(─3, 0), S(0, 5), and T(1, 1). COORDINATE GEOMETRY The vertices of RST are R(─3, 0), S(0, 5), and T(1, 1).](https://slidetodoc.com/presentation_image_h2/0867ea748a9baf1273e3400300a98c11/image-11.jpg)
![COORDINATE GEOMETRY The vertices of ABC are A(– 5, 5), B(0, 3), and C(– COORDINATE GEOMETRY The vertices of ABC are A(– 5, 5), B(0, 3), and C(–](https://slidetodoc.com/presentation_image_h2/0867ea748a9baf1273e3400300a98c11/image-12.jpg)
![b. Name the congruence transformation for ABC and A B C. Answer: turn b. Name the congruence transformation for ABC and A B C. Answer: turn](https://slidetodoc.com/presentation_image_h2/0867ea748a9baf1273e3400300a98c11/image-13.jpg)
- Slides: 13
![Lesson 4 3 Congruent Triangles Congruent triangles triangles that are the same size Lesson 4 -3 Congruent Triangles • Congruent triangles- triangles that are the same size](https://slidetodoc.com/presentation_image_h2/0867ea748a9baf1273e3400300a98c11/image-1.jpg)
Lesson 4 -3 Congruent Triangles • Congruent triangles- triangles that are the same size and shape • Definition of Congruent Triangles (CPCTC) Two triangles are congruent if and only if their corresponding sides are congruent. • Congruence transformations- when you slide, flip, or turn a triangle, the size and shapes do not change.
![Lesson 4 3 Congruent Triangles Theorem 4 4 Properties of Triangle Congruence Lesson 4 -3 Congruent Triangles • Theorem 4. 4 Properties of Triangle Congruence •](https://slidetodoc.com/presentation_image_h2/0867ea748a9baf1273e3400300a98c11/image-2.jpg)
Lesson 4 -3 Congruent Triangles • Theorem 4. 4 Properties of Triangle Congruence • Reflexive • Symmetric • Transitive
![ARCHITECTURE A tower roof is composed of congruent triangles all converging toward a point ARCHITECTURE A tower roof is composed of congruent triangles all converging toward a point](https://slidetodoc.com/presentation_image_h2/0867ea748a9baf1273e3400300a98c11/image-3.jpg)
ARCHITECTURE A tower roof is composed of congruent triangles all converging toward a point at the top. Name the corresponding congruent angles and sides of HIJ and LIK. Answer: Since corresponding parts of congruent triangles are congruent,
![ARCHITECTURE A tower roof is composed of congruent triangles all converging toward a point ARCHITECTURE A tower roof is composed of congruent triangles all converging toward a point](https://slidetodoc.com/presentation_image_h2/0867ea748a9baf1273e3400300a98c11/image-4.jpg)
ARCHITECTURE A tower roof is composed of congruent triangles all converging toward a point at the top. Name the congruent triangles. Answer: HIJ LIK
![The support beams on the fence form congruent triangles a Name the corresponding congruent The support beams on the fence form congruent triangles. a. Name the corresponding congruent](https://slidetodoc.com/presentation_image_h2/0867ea748a9baf1273e3400300a98c11/image-5.jpg)
The support beams on the fence form congruent triangles. a. Name the corresponding congruent angles and sides of ABC and DEF. Answer: b. Name the congruent triangles. Answer: ABC DEF
![COORDINATE GEOMETRY The vertices of RST are R3 0 S0 5 and T1 1 COORDINATE GEOMETRY The vertices of RST are R(─3, 0), S(0, 5), and T(1, 1).](https://slidetodoc.com/presentation_image_h2/0867ea748a9baf1273e3400300a98c11/image-6.jpg)
COORDINATE GEOMETRY The vertices of RST are R(─3, 0), S(0, 5), and T(1, 1). The vertices of R S T are R (3, 0), S (0, ─5), and T (─1, ─1). Verify that RST R S T.
![Use the Distance Formula to find the length of each side of the triangles Use the Distance Formula to find the length of each side of the triangles.](https://slidetodoc.com/presentation_image_h2/0867ea748a9baf1273e3400300a98c11/image-7.jpg)
Use the Distance Formula to find the length of each side of the triangles.
![Use the Distance Formula to find the length of each side of the triangles Use the Distance Formula to find the length of each side of the triangles.](https://slidetodoc.com/presentation_image_h2/0867ea748a9baf1273e3400300a98c11/image-8.jpg)
Use the Distance Formula to find the length of each side of the triangles.
![Use the Distance Formula to find the length of each side of the triangles Use the Distance Formula to find the length of each side of the triangles.](https://slidetodoc.com/presentation_image_h2/0867ea748a9baf1273e3400300a98c11/image-9.jpg)
Use the Distance Formula to find the length of each side of the triangles.
![Answer The lengths of the corresponding sides of two triangles are equal Therefore by Answer: The lengths of the corresponding sides of two triangles are equal. Therefore, by](https://slidetodoc.com/presentation_image_h2/0867ea748a9baf1273e3400300a98c11/image-10.jpg)
Answer: The lengths of the corresponding sides of two triangles are equal. Therefore, by the definition of congruence, Use a protractor to measure the angles of the triangles. You will find that the measures are the same. In conclusion, because ,
![COORDINATE GEOMETRY The vertices of RST are R3 0 S0 5 and T1 1 COORDINATE GEOMETRY The vertices of RST are R(─3, 0), S(0, 5), and T(1, 1).](https://slidetodoc.com/presentation_image_h2/0867ea748a9baf1273e3400300a98c11/image-11.jpg)
COORDINATE GEOMETRY The vertices of RST are R(─3, 0), S(0, 5), and T(1, 1). The vertices of R S T are R (3, 0), S (0, ─5), and T (─1, ─1). Name the congruence transformation for RST and R S T. Answer: R S T is a turn of RST.
![COORDINATE GEOMETRY The vertices of ABC are A 5 5 B0 3 and C COORDINATE GEOMETRY The vertices of ABC are A(– 5, 5), B(0, 3), and C(–](https://slidetodoc.com/presentation_image_h2/0867ea748a9baf1273e3400300a98c11/image-12.jpg)
COORDINATE GEOMETRY The vertices of ABC are A(– 5, 5), B(0, 3), and C(– 4, 1). The vertices of A B C are A (5, – 5), B (0, – 3), and C (4, – 1). a. Verify that ABC A B C. Answer: Use a protractor to verify that corresponding angles are congruent.
![b Name the congruence transformation for ABC and A B C Answer turn b. Name the congruence transformation for ABC and A B C. Answer: turn](https://slidetodoc.com/presentation_image_h2/0867ea748a9baf1273e3400300a98c11/image-13.jpg)
b. Name the congruence transformation for ABC and A B C. Answer: turn
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