Name______
Geometry – 1st Semester Review #1
1.) Point H is between G and I.
GH = 8x + 7, HI = 3x – 2,
and GI = 38.
Find the value of x.
2.) Find the midpoint of a segment with
endpoints A(-7, 3) and B(3, -3)
3.) What is the converse of “If you are
hungry, then you did not eat lunch?”
4.) What is the reason to why LM = LM?
Name______
Geometry – 1st Semester Review #2
1. Given the triangle below, find .
2. Given the diagram below, find the
value of y.
3. Write the equation of the line
passing through the point (9, -2) and (4,5).
Name______
Geometry – 1stSemester Review #3
1. Given: p. Solve for x and find the m<2.
2. Identify the converse of the
following statement. (The conditional is
not necessarily true!)
If two angles are not vertical angles, then they are congruent.
3. The acute angles of a right triangle are
______.
- equal
- complementary
- supplementary
- obtuse
e. right
Name______
Geometry – 1stSemester Review #4
1. WNHS is a parallelogram.
Find .
2. Given:
Identify the additional piece of
information needed to prove
by HL.
a.
b.
c.
d. A or C
e. B or C
3. Find the slope of the lines that passes through (-7, 8) and (2, -5).
4. Write the equation of the line with a slope of 5 passing through (-1, 6).
Name______
Geometry – 1stSemester Review #5
1.In triangle ABC, <A has a measure that is 5 times m<B. <C is a right angle. Find the measure of <A and <B.
2. Solve the system of linear equations below.
3. Given: . Solve for x and y.
Name______
Geometry – 1stSemester Review #6
1. WNHS is an isosceles trapezoid.
Find SH.
2. Given: a || b || c, solve for x and y.
3. Given: pq. Solve for x.
Name______
Geometry – 1stSemester Review #7
1. Using the given information, which lines, if any, can you conclude are parallel?(Hint: The goal is to prove the lines are parallel!!!)
a.
b.
c.
d.
2. Given: p, solve for x and find m<2.
x = =
Name______
Geometry – 1stSemester Review #8
1. In the measure of is five
more than twice the measure of . The
measure of is eleven less than three
times the measure of . Classify
by angle measure.
2. Two complementary angles are in the
ratio 7:11. Find the measure of the larger
angle.
3. Point A is between points C and R and
CR is 27 units in length. If the
coordinates of points C and A are
and 4 respectively, find the coordinate of
point R.
Name______
Geometry – 1stSemester Review #9
1. Given: Parallelogram WNHS
Find the perimeter of WNHS.
(hint: first solve for x)
2. Given: with altitude.
Find .
3. In , AB = BC. If
and
, find the measure
of the vertex angle of .
Name______
Geometry – 1stSemester Review #10
1. Given: Parallelogram ABCD.
Find .
2. Given: bisects .
(draw a picture).
If and
Find .
3.Find .
Name______
Geometry – 1stSemester Review #11
1. Given: Trapezoid ABCD with median
.
Find AD.
2.What is the largest angle in the triangle shown?
3. Use the figure and the given information to determine which lines are parallel.
a. What kind of angles are 2 & 6?
a. What kind of angles are 2 & 5?
Name______
Geometry – 1stSemester Review #12
1. Find the length of if bisects at N and NT = 37. (Draw a picture)
2. If the diagonals of a rhombus are congruent then it is also what type of quadrilateral?
3. Two sides of a triangle are 6 and 14. What are the possible measures of the third side x?
4. 1 and 2 are a linear pair, m2 = 67º.
m1 = ______
5. In ∆ABC .
Give two names for the triangle.
(acute, scalene, right, isosceles, equilateral, or obtuse)
Name______
Geometry – 1stSemester Review #13
1.) What must be true for ∆ABC ∆EDC by SAS?
a.
b.
c.
d.
2. R, S, and T are collinear. S is between R and T. RS = 2w + 1, ST = w – 1, and RT = 18. Solve for w. Then determine the length of segment RS.
3. Find the distance between points A & B is A is (-3, 4) and B is (4, -2).
Name______
Geometry – 1stSemester Review #14
Determine how each set of triangles below are congruent.
1.
2.
3.
4.