Let's simplify step-by-step.<span><span><span><span><span>7x</span>−<span>6y</span></span>+<span>3x</span></span>+<span>3y</span></span>−3</span><span>=<span><span><span><span><span><span><span>7x</span>+</span>−<span>6y</span></span>+<span>3x</span></span>+<span>3y</span></span>+</span>−3</span></span>Combine Like Terms:<span>=<span><span><span><span><span>7x</span>+<span>−<span>6y</span></span></span>+<span>3x</span></span>+<span>3y</span></span>+<span>−3</span></span></span><span>=<span><span><span>(<span><span>7x</span>+<span>3x</span></span>)</span>+<span>(<span><span>−<span>6y</span></span>+<span>3y</span></span>)</span></span>+<span>(<span>−3</span>)</span></span></span><span>=<span><span><span>10x</span>+<span>−<span>3y</span></span></span>+<span>−3</span></span></span><u>Answer:</u><span>=<span><span><span>10x</span>−<span>3y</span></span>−<span>3</span></span></span>
This means that the three sides of triangle MNO are congruent to three sides of triangle LMO. Therefore, the triangles are congruent by Side Side Side postulate.
D) Segment YZ and segment Y"Z" are proportional after the dilation and congruent after the translation.
Step-by-step explanation:
After a dilation, a figure remains proportional because its angles and betweenness of points remain the same. After a translation, the image stays congruent to the pre-image.