Converse of our statement: if the sides of triangle ABC are such that then Triangle ABC is a right
triangle with m(C)=90° True
Inverse of the statement: if Triangle ABC is not a right triangle with m(C) not =90° then the sides of
triangle ABC are not such that True
Contrapositive statement: if the sides of triangle ABC are not such that then Triangle ABC is not a
right triangle with m(C)=90° True
6.Name two pairs of congruent angles and justify your answer.

7.
Write a two-column proof
Given:
`
Prove: x = 45
2x + 6 and 96 are opposite angles.
Opposite angles are equal, so
2x + 6 = 96
2x = 96 - 6
2x = 90
x = 90/2
x= 45
8.
Find the measure of the third angle of a triangle given that the first two angles are 44
o
and 72
o
.
Show your work.
The sum of the angles in any triangle = 180
let the third angle =x
x + 44 + 72= 180

Geometry Midterm Exam
Name: Jason Santos
Student Number: JM 1707391
Answer the questions below. Make sure to show your work and provide complete geometric explanations for full
credit.
x + 116 =180
x= 180 - 116
x= 64
The third angle = x = 64
9.
Write a congruence statement for the pair of triangles
Triangles ABP and triangles BAQ are congruent due to SAS theorem
10.
Find the values of x and y. Show your work.

Geometry Midterm Exam
Name: Jason Santos
Student Number: JM 1707391
Answer the questions below. Make sure to show your work and provide complete geometric explanations for full
credit.
4y+8=24 and 7x-4=31
7x-4=31 so add 4 to both sides
4y+8=24 subtract 8 from both sides
7x = 35 then divide both sides by 7
4y =16 then divide both sides by 4
x=5
y = 4
4y+8=24
7x-4=31
4y=24-8
7x=31+4
4y=16
7x=35
y=16/4
x=35/7
y=4
x=5
Therefore x = 5 and y = 4
11.Which postulate or theorem, if any, could be used to prove the triangles congruent? If not, enough information is given, write not enough information.

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