Quiz 5 Assessment: Sequences of Transformations/angles

A sequence of transformations was applied to an equilateral triangle in a coordinate plane. The transformations used were rotation, reflections, and translations. Which statement about the resulting figure is true?

• It must be an equilateral triangle with the same side lengths as the original triangle.

• It may be a scalene triangle, and all the side lengths may differ from the original triangle.

• It may be an obtuse triangle with at least one side the same length as the original triangle.

Line a and b are parallel. What is the measure of ∠D?

• 22 degrees

• 68 degrees

• 112 degrees

• 22 degrees

Which can be the sides of a triangle?

• 3 in, 6 in, 9 in

• 2 in, 5 in, 6 in

• 6 in, 7 in, 14 in

• 1 in, 2 in, 3 in

What is the measure of ∠x?

• 33 degrees

• 147 degrees

• 162 degrees

• 75 degrees

Line AC and BD intersect at O as shown. What is the measure of ∠BOC?

• 4 degrees

• 70 degrees

• 45 degrees

• 100 degree

Which sequence does not transform triangle F to triangle G?

• a 180° clockwise rotation about the origin

• a 180° counterclockwise rotation about the origin

• a reflection over the x-axis and then a reflection over the y-axis

• a reflection over the y-axis and then a 90° clockwise rotation about the origin

In the attached picture, triangle ABC can be mapped onto triangle A'B'C'. Which basic rigid motion would map one triangle onto the other?

• Reflection

• Translation

• Rotation

Name a sequence of TWO transformations that will map ∆ABC onto ∆A'B'C'.

• Reflect over the y-axis then translate 2 units down

• Rotate 90^o counter clockwise

• Translate 2 units down and 5 to the right

• Reflect over the x-axis then translate 2 units down

The measures of the angles in triangle VUW are shown in the diagram attached. What is the value of x?

• 120

• 45

• 180

• 135

Use the diagram to answer the question that follows. Lines L1 and L2 are parallel. What is the angle relationship between ∠4 and ∠6?

• Vertical Angles

• Alternate Interior Angles

• Corresponding Angles