Converse of our statement if the sides of triangle ABC are such that then

# Converse of our statement if the sides of triangle

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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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• Fall '14
• Fitzgerald
• Geometry, triangle, Geometry Midterm Exam, complete geometric explanations, Jason Santos