Question 1 Multiple Choice Worth 1 points 0302 LC Triangle A

Question 1 (Multiple Choice Worth 1 points) (03.02 LC) Triangle ABC is a right triangle. Point D is the midpoint of side AB and point E is the midpoint of side AC. The measure of angle ADE is 47 47 The following flowchart with missing statements and reasons proves that the measure of angle ECB is 43 of angle Given Measure of angle casure of angle Definition of right angle Substitution property Segment DE joins theSegment DE is parAngle ECB is congruent midpoints of segment AB to segment BC Mic to angle AED Given Which statement and reason can be used to fill in the numbered blank spaces?

Solution

First set of options among all the given is the correct order of steps to be filled in the blank spaces

First step : Corresponding Angles are congruent.

When two lines are crossed by another line (which is called the Transversal), the angles in matching corners are called corresponding angles. When the two lines are parallel Corresponding Angles are equal.

In the second step : Applying the triangle sum theorem to calculate the angle of AED in the third step .

i.e,

We get measure of Angle AED = 180 - 90 - 47 = 43 degrees

After this we conclude that Measure of angle ECB is 43 degrees from First statement of corresponding angles.