In the diagram below, the three lines intersect in the same point, forming six numbered angles. Which statements MUST be true about these angles? Choose all that are correct

Which statement is true of ∠1 only if AA' is perpendicular to BB′?

• 
  It is equal in measure to ∠4.

Look at the number line. Two points A and B have weights w_A and w_B respectively. Their weighted average is w. If, the weight of A is changed to 2w_A, while that of B remains the same, which statement is true about the new weighted average w′ of A and B?

• w' lies after B

• w" lies before A

• w' lies between A and w

• w' lies between w and B

A triangle is shown on the coordinate plane below. What is the perimeter of this triangle rounded to the nearest tenth of a unit?

Look at rectangle DEFG shown below. What is its area?

A city planner laid out a small town on a grid, where each unit on the grid is 10 feet by 10 feet or 100 square feet.  The town's park is shown on the grid below.

Select all of the options that are true about the area and perimeter of the park (round the area to the nearest 100 square feet and the perimeter to the nearest 10 feet).

• 
  The area of the park is 3200 square feet.

• The area of the park is 3400 square feet.

• 
  The perimeter of the park is 240 feet.

• The perimeter of the park is 250 feet.

To the nearest unit, what is the perimeter of this pentagon?

• 27

• 29

• 30

• 34

Read the statements.

A: If a quadrilateral is a rectangle, then it has two pairs of parallel sides.

B: If a quadrilateral has two pairs of parallel sides, then it is a rectangle.

Which statement is true?

• Statement B is the inverse of statement A.

• Statement B is the converse of statement A.

• Statement B is the contrapositive of statement A.

• Statement B and A are the same statements.

Three points A𝐴, B𝐵, and C𝐶 lie on the same line. Read the statements.

A: If point B is between points A and C, then AB + BC = AC.

B: If AB  + BC = AC, then point B is between points A and C.

C: If AB + BC ≠ AC, then point B is not between points A and C.

• Statement B is the inverse of statement A.

• Statement B is the converse of statement A.

• Statement C is the converse of statement A.

• Statement B is the contrapositive of statement A.

• Statement C is the contrapositive of statement A.

Read the statement.

 

“If a figure is a square, then it is a rhombus." 

 

Match each statement is inverse, converse, contrapositive, or neither of the given statement.

• Contrapositive

• If a figure is not a square, then it is not a rhombus.

• Converse

• If a figure is a rhombus, then it is a square.

• Inverse

• If a figure is not a square, then it is a rhombus.

• Neither

• If a figure is not a rhombus, then it is not a square