Question

1. If ∠KAT and ∠GIF are supplementary angles then_________. *

A. they are both acute
B. one is acute and the other is obtuse
C. they must both measure 90º
D. no determination can be made
2.If ∠DEF and ∠IPN are congruent, they are_________. *

A. complementary angles
B. right angles
C. supplementary angles
D. no determination can be made
3.If the sides of a triangle measure 3, 4 and 5, then the triangle is__________. *

A. acute
B. right
C. obtuse
D. scalene
4. If two sides of a triangle measure 4 and 14, and an angle measures 34º, then the triangle is_________. *
1 point
A. acute
B. right
C. obtuse
D. it cannot be determined

Answer 1

1. B. one is acute and the other is obtuse

2. D. no determination can be made

3. B. right

4. D. it cannot be determined

Explanation:

1. If ∠KAT and ∠GIF are supplementary angles then one is acute and the other is obtuse

example : m∠KAT = 70° and m∠GIF = 110°

2.If ∠DEF and ∠IPN are congruent, they are no determination can be made

counter-example:

m∠DEF = 50° and m∠IPN = 50°

3.If the sides of a triangle measure 3, 4 and 5, then the triangle is right

because : 5² = 3² + 4²

4. If two sides of a triangle measure 4 and 14, and an angle measures 34º, then the triangle is it cannot be determined