Use coordinates to prove simple geometric theorems algebraically. For example, prove or disprove that a figure defined by four given points in the coordinate plane is a rectangle; prove or disprove that the point lies on the circle centered at the origin and containing the point .
Este diagrama muestra las coordenadas, en metros, de una figura triangular que está entre las figuras de la ballena y el astronauta en las líneas de Nazca.
Encuentra la pendiente de cada lado. ¿Qué te dice esto acerca del triángulo?
¿Cuál es el perímetro del triángulo?
¿Cuál es el área del triángulo?
Student Response
None
Building on Student Thinking
Activity Synthesis
None
11.3
Activity
Standards Alignment
Building On
Addressing
HSG-GPE.B.4
Use coordinates to prove simple geometric theorems algebraically. For example, prove or disprove that a figure defined by four given points in the coordinate plane is a rectangle; prove or disprove that the point lies on the circle centered at the origin and containing the point .
Este diagrama muestra las coordenadas, en metros, de dos figuras geométricas que están entre las figuras de la araña, la flor, el cóndor y la planta marina en las líneas de Nazca. Usa este diagrama para escribir una pregunta y su respuesta.
Student Response
None
Building on Student Thinking
Activity Synthesis
None
HSG-GPE.B.5
Prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems (e.g., find the equation of a line parallel or perpendicular to a given line that passes through a given point).
Prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems (e.g., find the equation of a line parallel or perpendicular to a given line that passes through a given point).