Name _________________________________
Common Core GEOMETRY
Module 1, Lessons 1-21
Mid Module Assessment
Answers: Part 1
1.) _________
2.) ________
3.) ________
4.) ________
5.) _______
DO NOT WRITE IN THIS BOX
PART I (20 Points)
____________
PART II (6 Points)
____________
PART III (8 Points)
____________
PART IV (6 Points)
____________
TOTAL
____________
6.) _______
7.) _______
8.) ________
9.) ________
10.) ______
(40 Points)
Part I (2 Points) Multiple Choice- Chose the best answer for each question below. Write all answers on the answer
sheet attached.
1.) Which of the following transformations is not a rigid motion?
(A) Reflection
(B) Rotation
(C) Translation
(D) Dilation
2.) A series of transformations is performed on point P as shown in the notation below, which transformation will be
done fist?
𝑇𝑢⃗ (𝑅𝐷,60 (𝑟⃡𝑙 (𝑃))
(A) Translation across vector u
(B) Reflection over line l
(C) Rotation around point D of 600
3.) Which of the following diagrams below illustrate the construction of a perpendicular bisector?
(A)
(B)
(C)
4.) Find the measure of angle b in the diagram below
(A) 54o
(B) 83o
(C) 144o
(D) 47o
5.) What is the measure of angle x in the diagram below?
(A) 35o
(B) 37o
(C) 72o
(D) 108o
6.) Which statement and justification would NOT prove that line ̅̅̅̅
𝐴𝐵 ∥ ̅̅̅̅
𝐶𝐷?
(A) ∠𝑎 = ∠𝑑; If vertical angles are congruent then lines are parallel.
(B) ∠𝑐 = ∠𝑔; If corresponding angles are congruent then lines are parallel.
(C) ∠𝑐 = ∠𝑓; If alternate interior angles are congruent then lines are parallel.
(D) ∠𝑑 + ∠𝑓=180; If same side interior angles are supplementary then the lines are parallel.
7.) Which statement is true in the diagram below:
(A) y=x+z
(B) w+y=180o
(C) w=x+z
(D) w+z=180o
8.) The diagram below shows the construction of the center of the circle circumscribed about
This construction represents how to find the intersection of
(A) the angle bisectors of
(B) the medians to the sides of
(C) the altitudes to the sides of
(D) the perpendicular bisectors of the sides of
9.) Approximately how many degrees could the rotation be in the diagram below?
(A) 180o
(B) 280o
(C) 100o
(D) 80o
10.) The figure below has rotational symmetry, a rotation of how many degrees would map A to C?
(A) 60o
(B) 300o
A
(C) 120o
(D) 180o
F
B
E
C
D
.
PART II (2 Points)- Show all work in the questions below. Correct answers with no work will receive no credit.
11.) Construct a 45o angle in the rectangle below:
12.) Find j, k and m in the diagram below.
13.) The figure below represents a transformation, name the rigid motion maps the pre image (triangle ABC) to it’s
image. _____________________
Complete the following congruence statement ∆________≅ ∆ ________.
Part III (4 Points)- Show all work in the questions below. Correct answers with no work will receive no credit.
14.) In the figure below, there is a reflection that transforms ∆𝐴𝐵𝐶 to triangle ∆𝐴′𝐵′𝐶′. Use a straight edge and
compass to construct the line of reflection and list the precise steps of construction.
15.) In the following diagram, prove that ∠𝐴 + ∠𝐵 + ∠𝐶 = 180𝑜
B
A
C
Part IV (6 Points)- Show all work in the questions below. Correct answers with no work will receive no credit.
16.) Define the three rigid motions identified below by writing the transformations in words.
𝑇𝑢⃗ ____________________________________________________________________________________
_______________________________________________________________________________________
Rm,-90o _________________________________________________________________________________
______________________________________________________________________________________
𝑟⃡𝑙
____________________________________________________________________________________________________________________________________
______________________________________________________________________________________
Using the transformations above; write in function notation a composition of transformations that would map triangle
ABC to triangle XYZ. The first transformation performed should be the translation followed by the rotation followed by
the reflection.