Unit 1, Lesson 10
¿Qué es igual?
Grado 7 acelerado
10.1
Warm-up
Encuentra las manos derechas
Las manos de una persona son imágenes de espejo una de la otra. En el diagrama hay una mano izquierda marcada. Colorea todas las manos derechas.
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Las manos de una persona son imágenes de espejo una de la otra. En el diagrama hay una mano izquierda marcada. Colorea todas las manos derechas.
En cada pareja de figuras, decide si son iguales o no.
Five pairs of figures, A, B, C, D and E. Figure A shapes match, the shape on the right is the image of the left shape after a reflection and translation. Figure B shapes do not match, they have congruent sides but angle measures do not match. Figure C shapes match, the shape on the left is the image of the left shape after a reflection. Figure D shapes do not match, the shape on the left is bigger. Figure E shapes do not match, the puzzle shape on the right has a lower right side part tab than the same tab of the left puzzle shape.
Five pairs of figures, A, B, C, D and E. Figure A shapes match, the shape on the right is the image of the left shape after a reflection and translation. Figure B shapes do not match, they have congruent sides but angle measures do not match. Figure C shapes match, the shape on the left is the image of the left shape after a reflection. Figure D shapes do not match, the shape on the left is bigger. Figure E shapes do not match, the puzzle shape on the right has a lower right side part tab than the same tab of the left puzzle shape.
Five pairs of figures, A, B, C, D and E. Figure A shapes match, the shape on the right is the image of the left shape after a reflection and translation. Figure B shapes do not match, they have congruent sides but angle measures do not match. Figure C shapes match, the shape on the left is the image of the left shape after a reflection. Figure D shapes do not match, the shape on the left is bigger. Figure E shapes do not match, the puzzle shape on the right has a lower right side part tab than the same tab of the left puzzle shape.
Five pairs of figures, A, B, C, D and E. Figure A shapes match, the shape on the right is the image of the left shape after a reflection and translation. Figure B shapes do not match, they have congruent sides but angle measures do not match. Figure C shapes match, the shape on the left is the image of the left shape after a reflection. Figure D shapes do not match, the shape on the left is bigger. Figure E shapes do not match, the puzzle shape on the right has a lower right side part tab than the same tab of the left puzzle shape.
Five pairs of figures, A, B, C, D and E. Figure A shapes match, the shape on the right is the image of the left shape after a reflection and translation. Figure B shapes do not match, they have congruent sides but angle measures do not match. Figure C shapes match, the shape on the left is the image of the left shape after a reflection. Figure D shapes do not match, the shape on the left is bigger. Figure E shapes do not match, the puzzle shape on the right has a lower right side part tab than the same tab of the left puzzle shape.
Congruente es un nuevo término para una idea que ya hemos usado. Decimos que dos figuras son congruentes si una se puede alinear exactamente con la otra por medio de una transformación rígida.
Por ejemplo, el triángulo
Triangle A B C, triangle A B prime C, dashed arrow from B prime to point F and triangle E F D. Triangle A B prime C is the image of triangle A B C after reflection over A C. Angle A is 63 point 4 degrees, angle B is 71 point 6 degrees and angle C is 45 degrees. Side A B is 2 point 2 4, side B C is 2 point 8 3 and side A C is 3 point 0 0. Angle E is 63 point 4 degrees, angle F is 71 point 6 degrees and angle D is 45 degrees. Side E F is 2 point 2 4, side F D is 2 point 8 3 and side D E is 3 point 0 0.
Estos son otros hechos sobre figuras que son congruentes:
Una figura es congruente a otra si puede moverse con traslaciones, rotaciones y reflexiones para coincidir exactamente con la otra.
En la figura, el triángulo A es congruente a los triángulos B, C y D.
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