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Geometry Unit 3 Level 1 Questions
Name______________________________
3A- Know and apply vocabulary and theorems related to objects created by angles and lines
1. Draw a picture of two lines intersected by a transversal and correctly label a pair of corresponding angles.
2. Draw a picture of two lines intersected by a transversal and correctly label a pair of alternate interior angles.
3. Draw a picture of two lines intersected by a transversal and correctly label a pair of same side interior angles.
4. Draw a picture of two lines intersected by a transversal and correctly label a pair of alternate exterior angles.
5. Draw a picture of two lines intersected by a transversal and correctly label a pair of same side exterior angles.
6. Write out two theorems involving parallel lines and a transversal. Illustrate your theorem with a diagram.
7. What is the sum of the exterior angles of a convex polygon with n sides?
8. What is the sum of the interior angles of a convex polygon with n sides?
9. What is a median of a triangle?
10. What is an altitude of a triangle?
3C – Apply properties of equations of parallel and perpendicular lines to geometric figures
1. Write the slope intercept form for the equation of a line and explain all the variables.
2. Write the point slope form for the equation of a line and explain all the variables.
3. Find the equation of a line passing through the points  2,3 and  4, 6  .
4. Find the equation of a line with a slope of
3
and a y-intercept of  0, 6  .
5
5. Find the equation of the line parallel to the line y 
3
x  3 and passing through the point  2,5  .
4
6. Find the equation of the line perpendicular to the line y 
7. Find the intersection of the lines y 
3
x  3 and passing through the point  0,5 .
4
3
3
x  3 and y   x  6 .
4
2
3D – Apply midpoint, slope, and distance to justify conjectures about geometric figures.
1. Define midpoint of a segment.
2. Find the midpoint of the segment whose endpoints are  3, 4  and  21,15 .
3. The midpoint of a segment is  3, 2 . One of the endpoints is 13,6  . What is the other endpoint?
4. What is the distance formula?
5. Using the distance formula, find the length of AB for point A 1,3 and B (1, 6) .
6. How do we use slope to determine if two lines are parallel?
7. How do we use slope to determine if two lines are perpendicular?
3F - Analyze problem situations and apply definitions, postulates, theorems to solve.
Use the picture at the right to answer the following questions.
1. If line a b , write out a theorem that
b
relates 1 and 5 .
a
1 2
3 4
c
d
14
13
15
16
2. Name a pair of corresponding angles.
3. Write out a theorem that would prove line a b if m2  m5  180o .
4. If m5  m10 , what theorem would guarantee that line c d ?
5 6
8 7
12 9
11 10
3G - Analyze problem situations and apply algebra to solve.
Use the diagram provided to answer the following questions. Assume a b and c d .
If m14  5x 10 and m9  88  2x , find x and
m14 .
b
a
1 2
3 4
c
d
14
13
15
16
If m7  3x  9 and m3  6x , find x and m3 .
If m1  36 o and m3  18 x  6 y , and m16  6 x  10 y find x, y, and m3 .
5 6
8 7
12 9
11 10
3H - Prove conjectures related to lines and angles
There are no genuine Level 1 questions about proof. What you can do to help is list the theorems that you know
about angles. This would help. So for a Level 1 score, list four theorems you know about angles on parallel
lines. List three theorems you know about the angles of convex polygons. (Yes, a triangle is a convex
polygon.)