Geometry State Test Practice 2

Which expression represents the area, in square inches, of the shaded sector?

What is the probability of both events A and B occurring if the probability of event A is 0.6 and the probability of event B is 0.7, given that A and B are independent events?

• 0.42

• 0.13

• 0.65

• 0.30

What is the volume of the pyramid-shaped figurine created by Iris with dimensions 2 in., 3 in., and 1 in.?

• 1 cubic inch

• 2 cubic inches

• 3 cubic inches

• 4 cubic inches

If Iris sells her figurines for $7.50 per cubic inch, what is the price of the pyramid-shaped figurine?

• $7.50

• $15.00

• $22.50

• $30.00

What is a possible ordered pair for point P if line j is dilated by a scale factor of 3 about point P to create line k, and line j and line k coincide?

• (0, 3)

• (1, 1)

• (2, 2)

• (3, 3)

What is the total area, in square units, of Olivia’s logo made up of three triangles?

• 12 square units

• 18 square units

• 24 square units

• 6 square units

Which statement most accurately defines a ray?

• all points of a line that are on either side of a fixed point

• all points of a line that are on one side of a fixed point including the fixed point

• all points of a line that are between two fixed points of the line

• all points of a line that are between two fixed points of the line including the two fixed points

Which transformation was performed on triangle M to create triangle N?

• a reflection across the line y = -x

• a reflection across the line y = x

• a clockwise rotation of 180° about the origin

• a clockwise rotation of 270° about the origin

What is the density of a brick with a mass of 2,022.75 grams and a volume of 1,064.5 cubic centimeters, rounded to the nearest tenth?

• 1.9 g/cm³

• 2.0 g/cm³

• 1.8 g/cm³

• 2.1 g/cm³

Which sequence of transformations can Robby apply to triangle ABC to show that it is congruent to triangle PQR?

• A reflection of triangle ABC across the y-axis, then a translation of the image 5 units down

• A rotation of triangle ABC 90° clockwise about point A, then a reflection of the image across the x-axis

• A rotation of triangle ABC 90° clockwise about point A, then a translation of the image 6 units to the right

• A reflection of triangle ABC across the y-axis, then a rotation of the image 90° clockwise about the image of point A