Question

6 from unit 1, lesson 9 in the figure shown, lines f and g are parallel. select all angles that are congruent to angle 1. a 1 b 2 c 3 d 4 e 5 f 6 g 7 h 8 learning target + i can dilate a figure given a scale factor and a center.

Explanation:

Step1: Recall angle - congruence rules for parallel lines

When two parallel lines are cut by a transversal, vertical angles are congruent and corresponding angles are congruent.

Step2: Identify vertical angles

Angle 1 and angle 4 are vertical angles. So, $\angle1\cong\angle4$.

Step3: Identify corresponding angles

Angle 1 and angle 5 are corresponding angles. Since lines $f$ and $g$ are parallel, $\angle1\cong\angle5$.

Step4: Use transitive property for other congruent angles

Angle 5 and angle 8 are vertical angles, so $\angle5\cong\angle8$. Since $\angle1\cong\angle5$, then $\angle1\cong\angle8$.

Answer:

D. 4, E. 5, H. 8