1. in the graph, the coordinates of the vertices of quadrilateral abcd are a(-27,17), b(24,14), c(19,3) and d(-7,7) if quadrilateral efgh is created as the image of quadrilateral abcd reflected across the x-axis, find the coordinates of the vertex located at point e.
graph: 1

a. (-27,-17)
b. (-24,-14)
c. (-19,-3)
.-7)

2. in the graph, triangle efg is a reflection of preimage triangle abc. ab=46 unitts, bc=44 units, and ac=10 units. find the length of fg.
graph 2

a: fg=10 units
b: fg= 44 units
c: fg= 46 units
d: fg= 56 units

3.describe the change that occurs to the coordinates of a vertex of a figure when it is reflected across the y-axis.

a. the sign of the x-coordinate changes; the y-coordinate stays the same.
b. the x-coordinate stays the same; the sign of the y-coordinate changes.
c. both coordinates stay the same.
d. the sign of each coordinate changes.

? d':

1. The coordinates of E are (-27,-17). The correct option is A.

2. The length of FG is 44 units. The correct option is B.

3. The correct option is A. The sign of the x-coordinate changes; the y-coordinate stays the same.

Step-by-step explanation:

1.

The vertices of quadrilateral ABCD are A(-27,17), B(24,14), C(19,3) and D(-7,7).

The quadrilateral EFGH is created as the image of quadrilateral ABCD reflected across the x-axis.

If a figure reflected across the x-axis, then

Therefore the coordinates of E are (-27,-17). The correct option is A.

2.

Triangle EFG is a reflection of preimage triangle ABC. AB=46 unitts, BC=44 units, and AC=10 units.

Reflection is a rigid transformation. It means the image an preimage are congruent.

Corresponding parts of congruent triangles are congruent.

            (CPCTC)

Therefore the length of FG is 44 units. The correct option is B.

3.

If a figure reflected across the x-axis, then

The sign of the x-coordinate changes; the y-coordinate stays the same.

Therefore the correct option is A.

the 3rd option is right

step-by-step explanation: