Question

complete the statements about the shapes on the graph.
shape a is congruent to shape , as shown by a reflection across the y - axis and then a translation down units.
shape b is congruent to shape , as shown by a reflection across the y - axis and then a translation down units

Explanation:

Step1: Analyze the congruence of Shape A

• First, reflect Shape A across the \(y -\)axis.
• Then, count the vertical distance (translation down) to match with another shape. After reflection across the \(y -\)axis and translation down \(6\) units, Shape A matches Shape C.

Step2: Analyze the congruence of Shape B

• Reflect Shape B across the \(y -\)axis.
• Count the vertical distance (translation down). After reflection across the \(y -\)axis and translation down \(10\) units, Shape B matches Shape D.

Answer:

Shape A is congruent to shape C, as shown by a reflection across the \(y -\)axis and then a translation down \(6\) units.
Shape B is congruent to shape D, as shown by a reflection across the \(y -\)axis and then a translation down \(10\) units.