Geometry Quiz

Triangle A'B'C' is the image of △ABC after a dilation centered at the origin. The coordinates of the vertices of △ABC are A(−2,1), B(2,4), and C(2,−3).

If the coordinates of A' are (−4,2), the coordinates of B' are:

• (8,4)

• (4,8)

• (4,−6)

• (1,2)

In the diagram below, △BRI is the image of △JOE after a translation. Triangle CAT is the image of △BRI after a line reflection.

Which statement is always true?

• ∠R ≅ ∠T

• ∠J ≅ ∠A

• JE ≅ RI

• OE ≅ AT

• 118°

• 68°

• 62°

• 56°

In parallelogram ABCD with AC ⊥ BD, AC = 12 and BD = 16. What is the perimeter of ABCD?

• 10

• 24

• 40

• 56

• XY = 15

• YZ = 17

• m∠Z = 90°

• m∠X = 90°

In ΔSNA below, UE ∥ NA. If SU = 3, SN = 11, and EA = 13, what is the length of SE, to the nearest tenth?

• 2.5

• 3.5

• 4.9

• 17.9

In triangle ABC below, D is a point on AB and E is a point on AC, such that DE is parallel to BC. Which statement is always true?

• ∠ADE and ∠ABC are right angles.

• ΔADE ~ ΔABC.

• DE = 1/2 BC.

• AD ≅ DB.

A line is dilated by a scale factor of 1/3 centered at a point on the line. Which statement is correct about the image of the line?

• Its slope is changed by a scale factor of 1/3.

• Its y-intercept is changed by a scale factor of 1/3.

• Its slope and y-intercept are changed by a scale factor of 1/3.

• The image of the line and the pre-image are the same line.

• 40°

• 45°

• 85°

• 95°