Removal Test Q4

What must be the lengths of the sides to form a triangle?

                                                   

 

• 1, 2, 4       

• 2, 4, 6

• 3, 6, 9

• 4, 5, 6

Which theorem states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side?

                                             

                       

• Hinge Theorem 

• Triangle Inequality Theorem  

• Converse of Hinge Theorem

• Exterior Angle Inequality Theorem

Which statement is TRUE?

• Any lengths of the sides can be used to form a triangle.

• The smallest side of a triangle is opposite to smallest angle.

• The largest angle of a triangle is opposite to the smallest side.

• The measure of exterior angle is less than the sum of its two remote interior angles.

If the measure of an exterior angle is 120^o, and the measure of one of the two remote interior angles is 55^o, what will be the measure of the other angle?

                                                                

• 55^o  

•      65^o   

• 75^o

• 85^o

 If you are to cut a 15-inch piece of stick to create a triangle, what should be the lengths of each piece provided that NO inch of it will be wasted?

                                                      

• 2, 3, 4       

• 3, 4, 5     

• 3, 4, 6     

• 4, 4, 7

What theorem states that the measure of an exterior angle is greater than the measure of either of the two remote interior angles?

                                       

                         

• Hinge Theorem       

• Triangle Inequality Theorem

• Converse of Hinge Theorem

• Exterior Angle Inequality Theorem

Which theorem is used in determining the longest and shortest sides of a triangle?

• Hinge Theorem

• Triangle Inequality Theorem (Ss -> Aa)

• Triangle Inequality Theorem (Aa -> Ss)

• Triangle Inequality Theorem (S1+S2 > S3)

If the measure of the first angle of the triangle is equal to 60^o and the measure of the second and third angles are 59^o and 61^o, respectively.  Which of the three opposite sides is the shortest?

                       

            

• Opposite of the first angle

• Opposite of the third angle    

• Opposite of the second angle

• Opposite of the first and third angles

Which statement is NOT TRUE?

• Any lengths of the sides can be used to form a triangle.

• The measure of exterior angle is greater than to either of its two remote interior angles.

•     The smallest side of a triangle is opposite to smallest angle.

• The largest angle of a triangle is opposite to the largest side.

What method is used in proving the validity of a statement by writing formal arguments of mathematical statements?

                                                          

• Solving 

• Direct proof   

• Two-column proof

• Indirect proof