Question

We can show that △ABC is congruent to △A ′B ′ C by a translation of _____ unit(s) and a _____ across the _____-axis.

a) 2, reflection, y
b) 1, reflection, x
c) 2, translation, x
d) 1, translation, y

Answer 1

In order to show that △ABC is congruent to △A′B′C, we can use a translation of 2 units and a reflection across the y-axis. The correct option is a.

Step-by-step explanation:

In order to show that △ABC is congruent to △A′B′C, we can use a translation and a reflection. The translation will involve shifting the triangle by a certain number of units, and the reflection will involve flipping the triangle across a certain axis.

To determine the correct answer, we need to consider the given options. Option a) states a translation of 2 units and a reflection across the y-axis. This means that △ABC will be shifted 2 units and flipped across the y-axis to become △A′B′C. Therefore, the correct answer is option a) 2, reflection, y.