CPM Geometry

Reflect ΔXYZ over the y-axis.

X(0 , -3) ; Y(-2 , 4) ; Z(1 , 3)

• X'(0 , 3) ; Y'(-2 , -4) ; Z'(1 , -3)

• X'(0 , -3) ; Y'(2 , 4) ; Z'(-1 , 3)

• X'(-3 , 0) ; Y'(4 , -2) ; Z'(3 , 1)

• X'(0 , -3) ; Y'(-2 , 4) ; Z'(-1 , 3)

Rotate ΔPQR 90^o counterclockwise about the origin.

P(-5 , 2) ; Q(1 , 5) ; R(3 , -2)

• P'(-2 , -5) ; Q'(-5 , 1) ; R'(2 , 3)

• P'(2 , -5) ; Q'(5 , 1) ; R'(-2 , 3)

• P'(2 , 5) ; Q'(5 , -1) ; R'(-2 , -3)

• P'(-2 , 5) ; Q'(-5 , -1) ; R'(2 , -3)

A Triangle has vertices at A (1,3), B (2,4), and C (3,8). Which transformation would produce an image with vertices A'(3,-1), B'(2,-4), C'(8,-3)?

• Reflection over X Axis

• Reflection over Y Axis

• 90 degree CW rotation

• 90 degree CCW rotation

Triangle A is rotated 270° counterclockwise with the origin as the center of rotation to create a new figure. Which triangle shows the new location?

• A

• B

• C

• D

Reflect the shape over the line y = x. Where is A'?

• (7, 2)

• (-2, 7)

• (2, -7)

• (-7, -2)

Which answer shows a reflection across the x-axis?

• d

• c

• b

• a

Reflection, Translation or Rotation

• reflection

• translation

• rotation

The Triangle Angle Sum Theorem states that __________________________.

• ... the sum of the measures of the interior angles in any triangle is 90°.

• ... the sum of the measures of the interior angles in any triangle is 360°.

• ... the sum of the lengths of the sides on any triangle is 180°.

• ... the sum of the measures of the interior angles in any triangle is 180°.

• ... on a right triangle, the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse.

Answer explanation

The Triangle Angle Sum Theorem states that the sum of the measures of the interior angles in any triangle is 180°. This is a fundamental property of triangles in Euclidean geometry.

Which of the following equations correctly describes the relationships between the side lengths on the triangle above?

Answer explanation

The correct choice is 5^2 + x^2 = 8^2, which follows the Pythagorean theorem for a right triangle, where 5 and x are the legs and 8 is the hypotenuse.

A(n) __________________ is written in the form “If …, then ….”

• conditional statement

• proof

• educated guess

• flowchart

• corresponding angle

Answer explanation

A conditional statement is a logical statement that has the form "If ... then ...". It expresses a relationship between two propositions, making it the correct choice for the given question.