Review for Unit 4

In the diagram below,

 $\Delta ABC\cong\Delta DEF$  . Which sequence of transformations will map  $\Delta ABC$  onto  $\Delta DEF$  ?

• A reflection over the x-axis followed by a translation

• A reflection over the y-axis followed by a translation

• A rotation of 180º about the origin followed by a translation

• a counterclockwise rotation of 90º about the origin followed by a translation

After a counerclockwise rotation about point X, scalene triangle ABC mapes onto triangles RST as shown below. Which statement is true?

•  $\angle A\ \cong\angle\text{R}$  

•  $\angle A\cong\angle S$  

•  $\overline{CB}\cong\overline{TR}$  
  

•  $\overline{CA}\cong\overline{TS}$  
  

Which of the triangles below is possible?

• I only

• III only

• I and III only

• I, II, and III

In the diagram below of isosceles triangle ABC, $\overline{AB}\cong\overline{CB}$  and angle bisectors  $\overline{AD},\ \overline{BF},\ and\ \overline{CE}$  are drawn and intersect at X.

If  $m\angle BAC\ =\ 50\degree$ , find  $m\angle AXC$   

If the perimeter of an equilateral triangle is 15x + 9, which expression represents the lenght of one side of the triangle?

• 3x + 9

• 15x + 3

• 5x + 3

• 5x + 9