Geometry Unit 3 Test

Which transformation shows a translation of 3 units to the right?

• 
• 
• 
• 

Tags

G.GSR.3.1

Describe the transformation.

• reflection across the x-axis

• reflection across the y-axis

• reflection across the line y = x

• reflection across the line y = -x

Tags

G.GSR.3.1

The parallel black lines are reflected across the x-axis. The green lines are the resulting image. Which choice describes the relationship of the green lines to each other?

• Horizontal lines

• 
  Parallel lines

• 
  Perpendicular

• Skew lines

Tags

G.GSR.3.1

If the line segment shown is reflected over the x-axis, what will be the new coordinates of point B?

• (4, 3)

• (-4, 3)

• (4, -3)

• (-4, -3)

Tags

G.GSR.3.2

The triangle shown is rotated 90° counterclockwise about the origin. What are the new coordinates of point A?

• (1, 2)

• 
  (-2, 1)

• (2, 1)

• (-2, -1)

Tags

G.GSR.3.2

Is it possible to define a series of rigid transformations that takes figure A to figure B?

• Yes, it can be defined with one reflection and one rotation.

• Yes, it can be defined with one rotation and one translation.

• No, it cannot be defined because figure A and figure B are not congruent.

• 
  No, it cannot be defined because figure A and figure B are congruent.

Tags

G.GSR.3.2

Consider two parallel lines separated by a distance of 10 units. If one line is translated 5 units to the right, will the lines remain parallel?

• 
  Yes, the lines will remain parallel.

• It depends on the slopes of the lines.

• 
  Yes, the lines will remain parallel.

• No, the lines will not remain parallel.

Tags

G.GSR.3.2

The vertices of ΔABC are (-2,0), (-2, 3), and (-5, 1). T(x,y) = (x + 1, 3y) represents the transformation of the triangle. What are the coordinates of the vertices for ΔA'B'C'? Are the pre-image and image congruent? Justify your answer.

• (0,-1),(9,1),(3,-4); The triangles are congruent because all transformations result in congruent figures.

• (1,0),(1,9),(-4, 3); The triangles are not congruent because ΔA'B'C' is a reflection of ΔABC.

• (-1,3),(-1,3),(-4,3); The triangles are congruent because the same transformation was performed on each vertex.

• (-1,0),(-1,9),(-4,3); The triangles are not congruent because 3y is a dilation which increases the size of ΔA'B'C'.

Tags

G.GSR.3.3

Which translation can be used to prove that figures 2 and 3 are congruent?

• (x, y) → (x, y - 4)

• 
  (x, y) → (x - 3, y + 1)

• (x, y) → (x + 2, y)

• (x, y) → (x + 1, y - 3)

Tags

G.GSR.3.3

Given: segment AB || segment DE, C is the midpoint of segment DB.
Prove: ΔACB ≅ ΔECD

Fill in the missing reason for the proof.

• definition of midpoint

• vertical angles are congruent

• all right angles are congruent

• supplementary angles are congruent

Tags

G.GSR.3.4