Question

Question 2(Multiple Choice Worth 2 points)

(02.06 MC)
The figure shows rectangle RSTW. Which of the following conditions satisfies the criteria for rectangles?

A.m B.m C.m D.m

Answer 1

m∠SRZ = 40°

Explanation:

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Answer 2

m∠SRZ=40°

Explanation:

The figure shows rectangle RSTW which has the angle RTW with measure of 40°.

1. Sides SR and TW are parallel as opposite sides of rectangle, then angles SRZ and RTW are alternate interior angles. By alternate interior angles theorem, they are cingruent, so m∠SRZ=40° . This option is true.

2. Angles STZ and RTW aro complementary (add up to 90°), then

m∠STZ=90°-40°=50°. This option is false.

3. Angle SRW is a right angle (in rectangle all angles are right angles). By the definition of right angle,

m∠SRW=90°. This option is false.

4. Angle TWR is a right angle (in rectangle all angles are right angles). By the definition of right angle,

m∠TWR=90°. This option is false.