4 3 Congruent Triangles Congruent triangles Triangles that
![4 -3 Congruent Triangles • Congruent triangles • Triangles that are the same size 4 -3 Congruent Triangles • Congruent triangles • Triangles that are the same size](https://slidetodoc.com/presentation_image_h2/55898dd67992dd63bb5e0dcd9a88105e/image-1.jpg)
![Definition of Congruent Triangles • If the corresponding • Abbreviation: parts of two triangles Definition of Congruent Triangles • If the corresponding • Abbreviation: parts of two triangles](https://slidetodoc.com/presentation_image_h2/55898dd67992dd63bb5e0dcd9a88105e/image-2.jpg)
![Example #1 • If BIG CAT, name the • • • congruent angles and Example #1 • If BIG CAT, name the • • • congruent angles and](https://slidetodoc.com/presentation_image_h2/55898dd67992dd63bb5e0dcd9a88105e/image-3.jpg)
![Check Your Progress 1 A & 1 B • The measures of the sides Check Your Progress 1 A & 1 B • The measures of the sides](https://slidetodoc.com/presentation_image_h2/55898dd67992dd63bb5e0dcd9a88105e/image-4.jpg)
![Theorem 4. 4 • Properties of Triangle Congruence • Congruence of triangles is reflexive, Theorem 4. 4 • Properties of Triangle Congruence • Congruence of triangles is reflexive,](https://slidetodoc.com/presentation_image_h2/55898dd67992dd63bb5e0dcd9a88105e/image-5.jpg)
![Example #2 • The corresponding parts • • of two congruent triangles are marked Example #2 • The corresponding parts • • of two congruent triangles are marked](https://slidetodoc.com/presentation_image_h2/55898dd67992dd63bb5e0dcd9a88105e/image-6.jpg)
![Transformations • Congruence Transformations: The shapes maintain their congruence throughout Rotation (turn) each transformation. Transformations • Congruence Transformations: The shapes maintain their congruence throughout Rotation (turn) each transformation.](https://slidetodoc.com/presentation_image_h2/55898dd67992dd63bb5e0dcd9a88105e/image-7.jpg)
![Take a look at Example #2 p. 219 • Now do Check your Progress Take a look at Example #2 p. 219 • Now do Check your Progress](https://slidetodoc.com/presentation_image_h2/55898dd67992dd63bb5e0dcd9a88105e/image-8.jpg)
- Slides: 8
![4 3 Congruent Triangles Congruent triangles Triangles that are the same size 4 -3 Congruent Triangles • Congruent triangles • Triangles that are the same size](https://slidetodoc.com/presentation_image_h2/55898dd67992dd63bb5e0dcd9a88105e/image-1.jpg)
4 -3 Congruent Triangles • Congruent triangles • Triangles that are the same size and shape – All of the vertices correspond/ “match up” – The sides of the triangles also correspond – All the parts that match are called corresponding parts. B A ABC FDE C F • Angles – A F – B D – C E • Segments – AB FD – BC DE – AC FE D If two triangles are congruent, the vertices correspond in the same order as the letters naming the triangles. E
![Definition of Congruent Triangles If the corresponding Abbreviation parts of two triangles Definition of Congruent Triangles • If the corresponding • Abbreviation: parts of two triangles](https://slidetodoc.com/presentation_image_h2/55898dd67992dd63bb5e0dcd9a88105e/image-2.jpg)
Definition of Congruent Triangles • If the corresponding • Abbreviation: parts of two triangles • CPCTC are congruent, then • Corresponding the two triangles are • Parts of congruent. • C ongruent • If two triangles are • Triangles are congruent, then the corresponding parts of • Congruent the two triangles are congruent.
![Example 1 If BIG CAT name the congruent angles and Example #1 • If BIG CAT, name the • • • congruent angles and](https://slidetodoc.com/presentation_image_h2/55898dd67992dd63bb5e0dcd9a88105e/image-3.jpg)
Example #1 • If BIG CAT, name the • • • congruent angles and sides. Then draw the triangles, using the arcs and slash marks to show congruent angles and sides. Label your first triangle with the first set of letters. Starting in the same spot on the other triangle, name it using the second set of letters. Then figure out the corresponding parts. Then draw your markings. Angles B C I A G T Segments BI CA IG AT BG CT I B A G C T
![Check Your Progress 1 A 1 B The measures of the sides Check Your Progress 1 A & 1 B • The measures of the sides](https://slidetodoc.com/presentation_image_h2/55898dd67992dd63bb5e0dcd9a88105e/image-4.jpg)
Check Your Progress 1 A & 1 B • The measures of the sides of triangles PDQ and OEC are PD = 5, DQ = 7, PQ = 11, EC = 7, OC = 5, and OE = 11 • 1 A: Name the corresponding congruent angles and sides • 1 B: Name the congruent triangles
![Theorem 4 4 Properties of Triangle Congruence Congruence of triangles is reflexive Theorem 4. 4 • Properties of Triangle Congruence • Congruence of triangles is reflexive,](https://slidetodoc.com/presentation_image_h2/55898dd67992dd63bb5e0dcd9a88105e/image-5.jpg)
Theorem 4. 4 • Properties of Triangle Congruence • Congruence of triangles is reflexive, symmetric, and transitive
![Example 2 The corresponding parts of two congruent triangles are marked Example #2 • The corresponding parts • • of two congruent triangles are marked](https://slidetodoc.com/presentation_image_h2/55898dd67992dd63bb5e0dcd9a88105e/image-6.jpg)
Example #2 • The corresponding parts • • of two congruent triangles are marked on the figure. Write a congruence statement for the two triangles. A congruence statement says ? ? ? !!! Write down one triangle. HAT Figure out what angle corresponds to the order you used. H B A O T Y So HAT BOY A B Y H T O
![Transformations Congruence Transformations The shapes maintain their congruence throughout Rotation turn each transformation Transformations • Congruence Transformations: The shapes maintain their congruence throughout Rotation (turn) each transformation.](https://slidetodoc.com/presentation_image_h2/55898dd67992dd63bb5e0dcd9a88105e/image-7.jpg)
Transformations • Congruence Transformations: The shapes maintain their congruence throughout Rotation (turn) each transformation. Reflection (flip) Transition (slide)
![Take a look at Example 2 p 219 Now do Check your Progress Take a look at Example #2 p. 219 • Now do Check your Progress](https://slidetodoc.com/presentation_image_h2/55898dd67992dd63bb5e0dcd9a88105e/image-8.jpg)
Take a look at Example #2 p. 219 • Now do Check your Progress 2 A & 2 B p. 220 • Answers • 2 A: LM = L’M’ = MN = M’N’ = LN = 4, L’N’ = 4