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Mathematics
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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

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Casey Durgan
Casey DurganLv2
16 Mar 2020
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Related questions

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

Which statement best explains if quadrilateral ABCD can be a parallelogram?
 
(a) ABCD can be a parallelogram with one pair of sides measuring 15 units and the other pair measuring 8 units.
(b) ABCD can be a parallelogram with one pair of sides measuring 15 units and the other pair measuring 9 units.
(c) ABCD cannot be a parallelogram because there are three different values for x when each expression is set equal to 15.
(d) ABCD cannot be a parallelogram because the value of x that makes one pair of sides congruent does not make the other pair of sides congruent.
 
 


 

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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