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Complete the statement: The slope formula can be used to prove that a triangle has _______________.

A. Congruent sides

B. A right angle

C. Parallel sides

D. Congruent Angles

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Ranti Timario
Ranti TimarioLv10
16 Nov 2020
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Related questions

Which property makes a rectangle a special type of parallelogram?

a. The opposite angles are congruent.

b. The diagonals are congruent.

c. The opposite sides are parallel.

d. The consecutive sides are congruent.

Are the two triangles below similar?

A.  Yes, because there are two pairs of congruent corresponding angles

B.  No, because there are not two pairs of the congruent corresponding angle

C.  Yes, because the corresponding sides are proportional

D.  No, because the corresponding sides are not proportional

what is the missing step in this proof?

(A)Statement: The slope of The slope of

Reason: Definition of the slope.

(B)Statement: The slope of  The slope of 

Reason: Transitive property of equality.

(C)Statement:

Reason: Corresponding sides of congruent triangles are congruent.

(D)Statement:

Reason: ASA(angle-side -angle).

Done


Given: ΔABC (view diagram )
Prove: A midsegment of ΔABC is parallel to a side of ΔABC.

Statement Reason
(Steps 1−5)
6. AC ∣∣∣∣ DE definition of parallel lines
7. Let F be the midpoint of AC¯¯¯¯¯. defining a midpoint
8. F=(x1+x32,y1+y32) definition of midpoint
9. slope of DF = y1+y32−y1+y22x1+x32−x1+x22 = y3−y2x3−x2
the slope of BC = y3−y2x3−x2 definition of slope
10.
11. DF ∣∣∣∣ BC definition of parallel lines
12. Similarly, EF is parallel to AB. steps similar to steps 1−11

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