Geometry ACT Review - Z08

In the figure, parallel line l and m are intersected by transversal n, forming the numbered angles. Which of the following congruence statements is NOT necessarily true?

The blood types of 150 people are determined for a study. The results show that 62 people have Type O blood, 67 have Type A blood, 15 have Type B blood, and the others have Type AB blood. If 1 person from this study is randomly selected, what is the probability that this person has either Type O or Type AB blood?

The chart below shows the possible combinations of numbers that can land faceup when 2 numbered cubes are rolled at the same time. Each combination are equally likely. What is the probability of rolling the numbered cubes so that the sum of the numbers that land faceup is 8 or greater?

A parallelogram has a perimeter of 88 inches, and 1 of its sides measures 18 inches. If it can be determined, what are the lengths, in inches, of the other 3 sides?

• 18, 18, 34

• 18, 17, 17

• 18, 26, 26

• 18, 35, 35

• Cannot Be Determined

Thomas wants to tile a rectangular floor with square tiles that measure 12 inches on a side. The floor measures 10 feet 6 inches long by 8 feet 6 inches wide. If he is able to cut the tiles without waste, what is the minimum number of times Thomas needs to completely cover the floor?

• 80

• 90

• 98

• 99

• 100

• 15.8

• 31.6

• 35.0

• 70.0

• 79.1

Jermaine will build a metal wall sculpture that is composed of 3 circles of different sizes, shown at the left. The smallest circle will have a diameter of 8 inches, and the diameters of the 3 circles will be in a ratio of 1:2:4. To reinforce the sculpture, Jermaine will place a straight metal bar from the center of the smallest circle, through the center of the middle circle, to the center of the largest circle. What will be the length, in inches, of the bar?

• 28

• 36

• 56

• 64

• 72