Unit 1, Lesson 14
Ángulos alternos internos
Grado 8
Practice
Problem 1
Usa el diagrama para encontrar la medida de cada ángulo.
- ángulo \(ABC\)
- ángulo \(EBD\)
- ángulo \(ABE\)
A horizontal line and a line that slopes downward from left to right. The lines intersect at a point labeled B. On the horizontal line, point E is to the left of B and C is to the right of B. On the sloping line, point A is above B and point D is below B. Angle C B D is labeled 45 degrees.
Problem 2
Las rectas \(k\) y \(\ell\) son paralelas y el ángulo \(ABC\) mide \(19^\circ\).
Two parallel lines, k and l, cut by transversal line m. Points F, C and D are on line k. Points A and B are on line l. Points E, C and B are on transversal m. Angle E C F is marked congruent to angle D C B and to angle A B C.
- Explica por qué el ángulo \(ECF\) mide \(19^\circ\). Si tienes dificultades, considera trasladar la recta \(\ell\) moviendo \(B\) a \(C\).
- ¿Cuánto mide el ángulo \(BCD\)? Explica.
Problem 3
El diagrama muestra tres rectas y las medidas de algunos ángulos:
Two lines that do not intersect. A third line intersects with both lines. At the first intersection, angles are marked starting at the top right and going in the clockwise direction, 70 degrees, question mark, question mark, question mark. At the second intersection, angles are marked starting at the top right and going in the clockwise direction, 53 degrees, question mark, question mark, question mark.
Encuentra las medidas de los ángulos desconocidos.
Problem 4
Las rectas \(s\) y \(t\) son paralelas. Encuentra el valor de \(x\). Explica tu razonamiento.
Problem 5
De un grado anterior
Las dos figuras son copias a escala la una de la otra.
Two identical quadrilaterals on a grid. In quadrilateral A C D, point A is 2 units right and 7 units up from the edge of the grid. Point D is 5 units right and 5 units up. Point C is 4 units right and 7 units up. A point, no labeled, but part of quadrilateral A C D is 5 units right and 8 units up. Quadrilateral A C D is labeled Figure 1. In quadrilateral P Q R S, point P is 8 units right and 8 units up. Point Q is 16 units right and 11 units up. Point R is 14 units right and 8 units up. Point S is 16 units right and 2 units up. Quadrilateral P Q R S is labeled Figure 2.
- ¿Qué factor de escala lleva la figura 1 a la figura 2?
- ¿Qué factor de escala lleva la figura 2 a la figura 1?