Pre-Algebra 8 Final Exam

Figure PQRST is a reflection of figure ABCDE. Which angle of figure PQRST corresponds to angle D of figure ABCDE?

• Angle P

• Angle R

• Angle S

• Angle T

In figure ABCDE, BC is parallel to EA. In the translated figure FGHIJ, which segment is parallel to JF?

• FG

• GH

• HI

• IJ

Triangles R and S are congruent. Which sequence of transformations can you perform on triangle R to show this?

• Rotate triangle R 90° counterclockwise around the origin.

• Rotate triangle R 180° counterclockwise around the origin.

• Rotate triangle R 180° clockwise around the origin. Then reflect the image across the y-axis.

• Rotate triangle R 90° counterclockwise around the origin. Then translate the image left 2 units.

Brittany performs a dilation on figure A with a scale factor of 2 and a center of dilation at the origin. If the original coordinates of point X are (8, 2), what are the correct coordinates of the image of point X after the dilation?

• (4, 1)

• (16, 4)

• (16, 2)

• (8, 4)

Which statement correctly explains why figures ABCD and WXYZ are similar?

• A) Figure WXYZ is a dilation of figure ABCD by a scale factor of 4.

• B) Figure WXYZ is a dilation of figure ABCD by a scale factor of 5.

• C) Figure ABCD is a dilation of figure WXYZ by a scale factor of 4.

• D) Figure ABCD is a dilation of figure WXYZ by a scale factor of 5.

Are figures B and B' similar?

• Yes, because they have the same shape but different sizes.

• No, because they have don't have a constant scale factor.

• Yes, because they have the same size and shape.

• No, because they are congruent.

Triangle X is a right triangle that includes an angle with a measure of 52°. Triangle Y is a right triangle that includes an angle with a measure of 28°. Which statement is true?

• The triangles are similar because they each have angles that measure 28°, 52°, and 90°.

• The triangles are not similar because only one pair of corresponding angles is congruent.

• The triangles are similar because they each have a right angle.

• It is not possible to determine whether the triangles are similar from the information given.

Which angles are congruent to ∠2?

• ∠6

• ∠3

• ∠7

• ∠4

What is the sum of the interior angles of any triangle?

• 90°

• 180°

• 270°

• 360°

Conner determines that the triangle shown in the diagram has angle measures of 37°, 39°, and 104°. Is Conner correct?

• Yes, because the angles add up to 180° which is true for any triangle.

• No, because the angles do not add up to 180°.

• Yes, because one of the angles is an obtuse angle.

• No, because a triangle cannot have three acute angles.