△ABC is given with line m drawn through A parallel to BC¯¯¯¯¯¯¯¯. In the course of proving that the interior angle measures of △
ABC sum to 180°, which of the following will be shown? Select the two correct answers.
A. ∠1≅∠B
B. m∠BAC+m∠C+m∠2=180°
C. m∠1+m∠BAC+m∠2=180°
D. ∠1≅∠C
E. ∠2≅∠A
A. ∠1≅∠B
B. m∠BAC+m∠C+m∠2=180°
C. m∠1+m∠BAC+m∠2=180°
D. ∠1≅∠C
E. ∠2≅∠A
1 answer:
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Answer:
Yes, parallelogram OABC is a rectangle.
Step-by-step explanation:
The vertices of a parallelogram are O(0,0), A(-4,1), B(-3,5) and C(1,4).
A parallelogram is a rectangle if its any two adjacent sides are perpendicular to each other.
product of slopes of two perpendicular lines is -1.
Formula for slope is
Using the formula we get
It means OA is perpendicular to AB.
Since two adjacent sides are perpendicular, therefore the given parallelogram OABC is a rectangle.