Geometry Unit 4

Which of the following equations must be true based on the figure?

• 60+58+x=180

• 60+y=x

• 60+58=x

• 58+y=x

Lines m and n are parallel. Which statement MUST be true?

• Angle 1 + Angle 2 = 100

• Angle 1 = Angle 6

• Angle 5 + Angle 7 = 180

• Angle 2 = Angle 8

Find the value of y in the figure.

• 58

• 60

• 62

• 118

If this is a right triangle, find the measure of x to the nearest hundredth.

• 42°

• 41.98°

• 41.99°

• 45°

Find the value of x in the figure.

• 58

• 60

• 118

• 122

Which of the following doesn't HAVE to be true?

• PX = PX'

• PJ is the perpendicular bisector of XX'

• X' is a reflection of X across line PJ

• 2PB = XP

Select the sequence of transformations that will take Polygon P to Polygon Q.

• Rotate 180 degrees about point A.

• Translate so that A is taken to J. Then reflect over BA.

• Rotate 60 degrees counterclockwise around A, then reflect over FA.

• Reflect over line BA, then rotate 60 degrees counterclockwise about point A.

This star is inscribed in a circle. Which of the following angles of rotation would result in Point 1 going to point 2 in a CLOCKWISE turn?

• 72 degrees

• 144 degrees

• 180 degrees

• 216 degrees

When performing a sequence of transformations, which is the correct order?

• Translate, rotate, then reflect

• Reflect, rotate, then translate

• Translate, reflect, then rotate

• Rotate, translate, then reflect

This star is inscribed in a circle. What is the smallest angle of rotation symmetry it has?

• 72 degrees

• 144 degrees

• 180 degrees

• 216 degrees