Finals Practice Part 1

Triangles ABC and DEF are shown below. Which triangle congruency theorem can be used to show that triangle DEF is congruent to triangle ABC?

• ASA

• SAS

• AAS

• SSS

What is x in the figure below?

• 79º

• 43º

• 137º

• 133º

The coordinate plane below shows the image of triangle QRS after it was first reflected across the x-axis, and then reflected across the y-axis. Which of these transformations has the same result?

• Translate triangle QRS in a negative y direction 7 units and then reflect it across the x-axis.

• Rotate triangle QRS 90 degrees in a clockwise direction and then reflect it across the x-axis.

• Reflect triangle QRS across the x-axis and then translate it 2 units in a positive x direction.

• Reflect triangle QRS across the y-axis and then reflect it across the x-axis.

The vertices of a rectangle ABCD are listed below.

A is at (-4,5).

B is at (2,5)

C is at (2,1)

D is at (-4,1)

ABCD to be translated 4 units to the left and 3 units up to form rectangle A'B'C'D'. After the translation, what are the coordinates of point B'?

• (-2,8)

• (-2,2)

• (6,8)

• (6,2)

On the coordinate plane below, the square ABCD will be rotated 90˚ clockwise about the origin to produce A'B'C'D'.

What will be the coordinates of point C'?

• (-2,-3)

• (2,3)

• (3,2)

• (3,-2)

Which diagram represents the theorem that the medians of a triangle intersect at a point?

• 
• 
• 
• 

Look at the figure below. Which statement is correct?

• △ ABC ≅△ CDA by the SSS postulate.

• △ ABC ≅△ ADC by the SAS postulate.

• △ ABC ≅△ CDA by the SAS postulate.

• △ ABC ≅△ ADC by the SSS postulate.

Which of the following correctly fills the blank space in the conclusion of the paragraph proof? 

Opposite sides of a parallelogram are parallel. ∠1≅∠4 and ∠2 ≅∠3 because alternate interior angles are congruent.  $\overline{AC}\ \cong\ \overline{AC}$  by the reflexive property of equality. △ ABC ≅△ CDA by the angle-side-angle theorem. Therefore ________________ by CPCTC. 

•  $\overline{AB}\cong\overline{AD}$  

• ∠BAD ≅∠DCB

• ∠B≅∠D 

• ∠1 ≅∠4 

Quadrilateral ABCD is transformed to A'B'C'D'. Which rule describes this transformation?

• (x, y) → (x− 3, y − 6)

• (x, y) → (x− 6, y − 3)

• (x, y) → (x+ 6, y + 3)

• (x, y) → (x+ 3, y + 6)

In the figure below, △ ABC ≅△ A'B'C'. Which transformation maps △ ABC onto △ A'B'C'?

• Reflect △ ABC in the x-axis.

• Translate △ ABC 3 units left and 6 units down.

• Reflect △ ABC in the y-axis, then rotate it 90° counterclockwise about the origin.

• Rotate △ ABC 180° counterclockwise about the origin.