Question 1

Complete the statement: The segments whose (1) __________ are the (2) __________ of two sides of a triangle is (3) __________ to the third side and it has length equal to half the length of the third side.

Accepted Answer

(1) endpoints, (2) midpoint, (3) parallel.

Answer

(1) midpoint, (2) endpoints, (3) congruent.

Answer

(1) midpoint, (2) endpoints, (3) parallel

Answer

(1) endpoints, (2) midpoint, congruent.

Question 2

Which of the following theorems of trapezoid is incorrect?

Accepted Answer

If a trapezoid is isosceles, the opposite angles are complementary.

Answer

A trapezoid is isosceles if and only if the base angles are congruent.

Answer

If a trapezoid is isosceles, the opposite angles are supplementary.

Answer

A trapezoid is isosceles if and only if the diagonals are congruent.

Question 3

3. Which of the theorems of kite is incorrect?

Accepted Answer

If a quadrilateral is a kite, then it has two pairs of opposite angles that are congruent.

Answer

If a quadrilateral is a kite, then it has one diagonal that bisect a pair of opposite angles.

Answer

If a quadrilateral is a kite, then the diagonals are perpendicular.

Answer

If a quadrilateral is a kite, then it has one diagonal that bisects the other diagonal.

Question 4

In ∆ BNS, O and U are the midpoints of BN̅̅̅̅ and NS ̅̅̅̅ respectively. How will you compute the OU̅̅̅̅?

Accepted Answer

OU̅̅̅̅ = 1/2 BN̅̅̅̅

Answer

OU̅̅̅̅ = 1/2 US

Answer

OU̅̅̅̅ = 1/2 BS̅̅̅̅

Answer

OU̅̅̅̅ = 1/2 ON̅̅̅̅

Question 5

In ∆ BNS, O and U are the midpoints of BN and NS, respectively. Identify the congruent sides.

Accepted Answer

BO̅̅̅̅ ≅ ON̅̅̅̅

Answer

ON̅̅̅̅ ≅ UN̅̅̅̅

Answer

BO̅̅̅̅ ≅ US ̅̅̅̅

Answer

NU̅̅̅̅ ≅ US ̅̅̅̅

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