Will give ! (02.03 mc)

figure abcd is transformed to obtain figure a'b'c'd':

a coordinate grid is shown from negative 6 to 6 on both axes at increments of 1. figure abcd has a at ordered pair negative 4, 4, b at negative 2, 2, c at negative 2, negative 1, d at negative 4, 1. figure a prime b prime c prime d prime has a prime at ordered pair 4, 1, b prime at 2, negative 1, c prime at 2, negative 4, d prime at 4, negative 2.

part a: write the sequence of transformations that changes figure abcd to figure a'b'c'd'. explain your answer and write the coordinates of the figure obtained after each transformation. (6 points)

part b: are the two figures congruent? explain your answer. (4 points)

Part A: The graph of ABCD is reflected across y-axis and translate 3 units down.

Part B: The figures ABCD and A'B'C'D' are congruent.

Step-by-step explanation:

Part A:

From the given graph it is clear that the coordinates of ABCD are A(-4,4), B(-2,2), C(-2,-1) and D(-4,1).

The vertices of A'B'C'D' are A'(4,1), B'(2,-1), C'(2,-4) and D'(4,-2).

If the graph of ABCD is reflected across y-axis, then

Using this rule the vertices of ABCD after reflection across y-axis are A₁(4,4), B₁(2,2), C₁(2,-1) and D₁(4,1).

If the graph of A₁B₁C₁D₁ is translate 3 units down, then

The vertices of ABCD after reflection across y-axis and translation 3 units down.

Therefore the graph of ABCD is reflected across y-axis and translate 3 units down.

Part B:

Reflection and translation is a rigid transformation. It means the size and shape of figure remains same.

Therefore the figures ABCD and A'B'C'D' are congruent.

question: how many people can she serve?

answer: she can serve 16.66666667 people. so she can only give 16 people a complete serving.

question: does she have enough ice cream for her guests?

answer: no. explanation: she only has enough for 16 people to have a full serving. however, she can give a 17th person a partial serving.