GEOMETRY 9 - Midterm Examination

MCQ

100

Angles between South and West and South and East are

A. Vertically opposite angles

B. Complementary angles

C. Making a linear pair

D. Adjacent but not supplementary

C. Making a linear pair

200

Given that line p is perpendicular to line q, and line r is a transversal that intersects both p and q, which of the following is true about the angles formed by the transversal r and the two lines p and q?

A. The alternate exterior angles are supplementary.

B. The vertical angles formed by the transversal are complementary.

C. The consecutive interior angles formed by the transversal are supplementary.

D. All angles formed by the transversal and lines p and q are congruent.

C. The consecutive interior angles formed by the transversal are supplementary.

300

Refer to the characteristics below.

I. Lines are coplanar.

II. Lines are non-coplanar.

III. Lines do not intersect.

IV. Lines intersect and form right angles.

Which of the following statements above is/are NOT true about two parallel lines?

A. I only                     

B. I and III only                       

C. II and IV only                    

D. III only

A. I only  

400

If EF = 2x − 12, FG = 3x − 15, and EG = 23, find the values of x, EF, and FG.

A. x = 3, EF = 8, FG = 15

B. x = 3, EF = –6, FG = –6

C. x = 10, EF = 32, FG = 45

D. x = 10, EF = 8, FG = 15

D. x = 10, EF = 8, FG = 15

500

Refer to the characteristics below.

I. Lines are coplanar.

II. Lines are non-coplanar.

III. Lines do not intersect.

IV. Lines intersect and form right angles.

Which is/are true about perpendicular lines?

A. II only                     

B. II and IV only                       

C. I and IV only                    

D. II and III only

B. II and IV only  

Modified True or False

100

Line 1 (l₁) is a transversal if it intersects two coplanar lines (l₂) and (l₃) at the same point/s. 

Different

200

Parallel lines are coplanar lines that do not intersect.

True

300

If a line is the perpendicular bisector of a line segment, then the line intersects the segment at any point.

Midpoint

400

Given a line and a point not on the line, there is exactly one line through the point parallel to the given line. 

True

500

Two intersecting are always perpendicular.

sometimes

Problem Solving

100

Alternate Exterior Angles: (3x-31) and (x+59)

x = 45; both 104 degrees

200

Vertical Angles: (3x-1) and 80

x = 27; 80 degrees

300

Linear Pair: (16x+2) and (43x+1)

x = 3; 50 degrees and 130 degrees

400

Corresponding Angles: (3x-31) and (16x+2)

x = 11; 2 degrees and 178 degrees

500

Consecutive Interior Angles: (2y-50) and 80

y = 75; 100 degrees