Indirect Proof and Triangle Inequality

What assumption would you make to start the indirect proof of AB≅BC?

• AB≠BC
• BA≅CB
• B is the midpoint of AC
• B is the perpendicular bisector oa AC

What assumption would you make to start the indirect proof of:
 there can be only one 90 angle in a triangle

• there can be more than one 90 angle in a triangle
• <a+<b+<c=180
• <a+<b+<c≠180
• all the angles in a triangle add up to 180.

Which statement is a contradiction of the statement XY≅RT?

• XY<RT
• TR≅YX
• XY≈RT
• XY≤RT

Does a triangle with these side lengths exist?
15, 12, 9

• Yes
• No
• I don't know.

Does a triangle with these side lengths exist?
33, 16, 17

• Yes
• No
• I don't know.

6

• A
• B
• C
• D

Which Theorem explains that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side?

• Triangle Inequality Theorem
• Quadrilateral Inequality Theorem
• Theorum Inequality Theorem
• Triangle Equality Theorem

If the shortest angle is opposite to an unknown side, which of these statements are true?

• The side opposite is the largest
• The side opposite is the smallest
• The side opposite is perpendicular
• The side opposite is the hypotenuse

Which of the following is a possible  length for segment AC

• 10
• 15
• 17
• 9

Tags

CCSS.HSG.CO.B.7

If you have Triangle ABC and Side AB is the longest side, which angle will be the biggest?

• < B

• < A

• < C

• All angles would be equal