Geometry Topic 6-4

Solve for x

If a ray QT bisects ∠RQS, what will be the measure of one of the resulting angles?

• 24

• I don't have enough information to solve

• 132

• 16

Find the length of GH. G(5,1) H(1, -1)

• 6

Choose either a counterexample to disprove the statement or support it with four examples.

• False, a counterexample would be a triangle with angle measures 30 degrees, 60 degrees, and 90 degrees.

• True, four examples would be: 1. an equilateral triangle 2. a triangle with angles 60 degrees, 60 degrees, and 60 degrees 3. an equiangular triangle 4. a right isosceles triangle

If AB = BC, then DE = 2(AB), AB = 6 and BC = 6.

What can you conclude about DE ?

• DE = 6

• DE = 12

• DE = 26

• DE = 24

• none of those

The diagram shows a circle with diameter 10 cm and center O. Points A and B lie on the circumference and the length of AB is 7.5 cm. A triangle AOB is drawn inside the circle. Find the size of angle AOB.

• none of those

The voronoi diagram shows the location of 4 post offices in a town. If someone lives at (4,-2),where should they collect their mail?

• B

• C

• D

• E

• E or C

• A

• B

• C

• D

Find the area of the shaded region.

• 125.7 cm²

• 40 cm²

• 103.7 cm²

• 33 cm²