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

______.

  1. equal
  2. complementary
  3. supplementary
  4. 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.