Question

May I please get help with this. I have tried many times but still could not get the correct answer

Answer 1

For Figure A and Figure B question;

$\begin{gathered} i)\text{ Yes, Figure A and Figure B are congruent} \\ \text{They are congruent because they are identical/similar} \end{gathered}$$\begin{gathered} ii)Figure\text{ B is }a\text{ flipped image of Figure A, thus it's a reflection} \\ The\text{ rule for a reflection over the x-axis is (x,y)=( x, -y)} \\ \text{The rule for a reflection over the y-axis is (x,y)=( -x, y)} \\ It\text{ can be s}een\text{ from the image that the reflected figure B has co-ordinates of ( x , -y );} \\ \text{Thus, the image is reflected over the x-axis} \end{gathered}$

Hence, the correct option is option C.

For Figure C and Figure D question;

$\begin{gathered} i)Yes,\text{ Figure C and Figure D are congruent} \\ They\text{ are congruent because they are identical/similar} \end{gathered}$$\begin{gathered} ii)\text{ Figure C is moved from }one\text{ location to another location without changing shape or orientation,thus it's a translation} \\ It\text{ can be se}en\text{ from the image that Figure C IS 7 units away from Figure D} \\ \text{Thus, Figure C is translated up 7units} \end{gathered}$

Hence, the correct option is option B