Gemometry Lesson (I)

Find the measure of α

• 45°

• 78°

• 33°

• 69°

• Not enough information

If the angles of a triangle are 42°, 73°, and 65°, which of the following would be an exterior angle of the triangle.

• 115°

• 115°

• 86°

• 117°

• None of these

To inscribe a circle in a triangle, which of the following must be constructed?

• The perpendicular bisectors of two sides.

• The bisectors of two angles.

• The altitudes of the triangle.

• The diameter of the circle.

• None of these.

Which of the following are properties of parallelograms?

I The opposite angles are congruent.

II The diagonals are perpendicular.

III The adjacent angles are supplementary

IV The diagonals bisect each other.

• I

• II

• III

• IV

Which of the following transformations will not map a square onto itself?

• A rotation of 180°about the center.

• A rotation of 270°about the center.

• A reflection about the perpendicular bisector of a side.

• A rotation of 45° about the center.

• A reflection about a diagonal.

Write the equation of the circle with center at (−4, 3) passing through the origin.

• (x-4) ^2 + (y+3) ^2 = 25

• (x-4) ^2 + (y+3) ^2 = 16

• (x+4) ^2 + (y-3) ^2 = 9

• (x+4) ^2 + (y-3) ^2 = 25

• (x+4) ^2 + (y-3) ^2 = 16

Find the area of the isosceles triangle ABC.

• 64.3

• 68.7

• 34.4

• 73.1

• None of these

The circle with center P is divided into sectors. The segment QT is a diameter of circle P. What is the measure of arc QTS?

• 143°

• 233°

• 217°

• 57°

• Not enough information

In the above figure, if m∠QPU = 57°, and QT = 4, what is the length of arc RQU?

• 57pi/90

• 11pi/9

• 22pi/9

• 11pi/18

• 7pi/3

If a regular octagon has a side length of 6, what is the radius, to the nearest tenth, of the circle circumscribing the octagon?

• 4.2

• 7.8

• 7.2

• 6.0

• 8.4