3. In the figure below, Δ A B C cap delta eh b c  has vertices A ( − 2 , − 4 ) , B ( − 3 , 2 ) , eh open negative 2 comma negative 4 close comma b open negative 3 comma 2 close comma  and C(3, 0). D is the midpoint of A B ¯ , eh b bar , comma  E is the midpoint of B C ¯ , b c bar , comma  and F is the midpoint of A C ¯ . eh c bar , .  What are the coordinates of the vertices of Δ D E F ? cap delta d e f question mark

   

   1. D ( − 2.5 , − 1 ) , E ( 0 , 1 ) , F ( 0.5 , − 2 ) d open negative 2.5 comma negative 1 close comma e open 0 comma 1 close comma f open 0.5 comma negative 2 close
   2. D ( − 2 , − 1 ) , E ( 0 , 0.5 ) , F ( 0.5 , − 1 ) d open negative 2 comma negative 1 close comma e open 0 comma 0.5 close comma f open 0.5 comma negative 1 close
   3. D ( − 2 , − 1.5 ) , E ( 0 , 1.5 ) , F ( 0.8 , − 2 ) d open negative 2 comma negative 1.5 close comma e open 0 comma 1.5 close comma f open 0.8 comma negative 2 close
   4. D ( − 2.2 , − 0.8 ) , E ( 0 , 1.5 ) , F ( 0.5 , − 2 ) d open negative 2.2 comma negative 0.8 close comma e open 0 comma 1.5 close comma f open 0.5 comma negative 2 close
4. A square and a rectangle have the same area. The square has side length 8 in. The length of the rectangle is four times its width. What is the length of the rectangle?
   6. 4 in.
   7. 16 in.
   8. 32 in.
   9. 64 in.

5. In the figure below, ∠ A ≅ ∠ D B E angle eh approximately equal to angle d b e  and A B ¯ ≅ B E ¯ . eh b bar , approximately equal to . b e bar , .  What additional information do you need in order to prove a pair of triangles congruent by AAS?

   

   1. ∠ A B C ≅ ∠ B E D angle eh b c approximately equal to angle b e d
   2. C is the midpoint of B E ¯ . b e bar , .
   3. ∠ A C B ≅ ∠ B D E angle eh c b approximately equal to angle b d e
   4. ∠ A B C ≅ ∠ B D E angle eh b c approximately equal to angle b d e

6. What is the value of y in the figure below?

   

   6. 3 7 3 sevenths
   7. 1
   8. 7 3 7 thirds
   9. 3

7. Which statement is the inverse of the following statement?

   If P Q ¯ p q bar  is a midsegment of Δ A B C , cap delta eh b c comma  then P Q ¯ p q bar  is parallel to a side of Δ A B C . cap delta eh b c .

   1. If P Q ¯ p q bar  is a midsegment of Δ A B C , cap delta eh b c comma  then P Q ¯ p q bar  is not parallel to a side of Δ A B C . cap delta eh b c .
   2. If P Q ¯ p q bar  is not a midsegment of Δ A B C , cap delta eh b c comma  then P Q ¯ p q bar  is not parallel to a side of Δ A B C . cap delta eh b c .
   3. If P Q ¯ p q bar  is not parallel to a side of Δ A B C , cap delta eh b c comma  then P Q ¯ p q bar  is not a midsegment of Δ A B C . cap delta eh b c .
   4. If P Q ¯ p q bar  is parallel to a side of Δ A B C , cap delta eh b c comma  then P Q ¯ p q bar  is a midsegment of Δ A B C . cap delta eh b c .

8. Which statement is true for the figure below?

   

   6. m ∠ J < m ∠ G < m ∠ H m angle , j less than , m angle , g less than , m angle h
   7. m ∠ H < m ∠ G < m ∠ J m angle , h less than , m angle , g less than , m angle j
   8. m ∠ J < m ∠ H < m ∠ G m angle , j less than , m angle , h less than , m angle g
   9. m ∠ H < m ∠ J < m ∠ G m angle , h less than , m angle , j less than , m angle g
9. A B ¯ eh b bar  has endpoints A ( 0 , − 4 ) eh open 0 comma negative 4 close  and B ( 8 , − 2 ) . b open 8 comma negative 2 close .  What is the slope-intercept form of the equation of the perpendicular bisector of A B ¯ ? eh b bar , question mark
   1. y = − 4 x + 13 y equals . negative 4 x plus 13
   2. y = 4 x − 19 y equals 4 x minus 19
   3. y + 3 = − 4 ( x − 4 ) y plus , 3 equals , minus 4 open x minus 4 close
   4. y + 3 = 4 ( x − 4 ) y plus . 3 equals 4 , open x minus 4 close

10. How can you prove that the two triangles below are congruent?

    

    6. ASA
    7. SSS
    8. SAS
    9. HL

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