Geometry Midterm Exam

Find the coordinates of the midpoint of a segment having endpoints at Q(1,−3) and R(11,5). Enter your coordinates in the spaces provided.

What is the converse of 'If an angle measures 90°, then it is a right angle" ?

• An angle is a right angle if it measures 90°

• If an angle is a right angle, then it measures 90°

• If an angle does not measure 90°, then it is not a right angle.

• If an angle is a not a right angle, then it does not measure 90°.

In △ABC, AB= 5 feet and BC = 3 feet. Which inequality represent all possible values for the length of AC, in feet?

• 2 ≤ AC ≤ 8

• 2 < AC < 8

• 3 ≤ AC ≤ 7

• 3 < AC < 7

In the diagram at right of △AGE and △OLD, ∠GAE≅∠LOD, and AE≅OD. To prove △AGE≅△OLD by SAS, what other information is needed?

• ∠AEG ≅ ∠ODL

• GE ≅ LD

• ∠AGE ≅ ∠OLD

• AG ≅ OL

In the diagram at right, which of the following reasons could be used to either explain why points A, C, D, and F are coplanar or why they are not coplanar?

• Yes, they are all coplanar, because all of the points lie on plane P .

• No they are not coplanar, because all of the point do not lie on the same line.

• No they are not coplanar, because all of the points do not line on the same plane.

• Yes they are all coplanar, because all of the points line on the points do not lie on the same plane.

What is the length of the line segment whose endpoints are A(−1,9) and B(7,4)? Hint: Use the distance formula.

• √61

• √89

• √20

• 5√233

What is the length of line segment AB with points A (-3, -4) and B (-9, 6)?

• 15

• 10

• 13

• 17

How many planes contain points A, C, and E?

• 0

• 3

• 1

• 2

If line CD lies on plane R, and point F lies on plane R, does line CF have to lie on plane R?

• No, because F is not on line CD

• Yes, because F lies on plane R

• Yes, because CD and CF are on the same plane

• No, because CD and CF are different lines

If 3 planes intersect, then their intersection is:

• An angle

• A line

• A plane

• A point