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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 congruent corresponding angles
c) Yes, because the corresponding sides are proportional
d) No, because the corresponding sides are not proportional

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Elin Hessel
Elin HesselLv2
29 Feb 2020

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Joey Tang
Joey Tang
Bachelor’s Degree in Chemistry from McMaster University
13 Apr 2020

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Related questions

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.
 
 


 

An isosceles triangle has at least two congruent sides. The perimeter of a certain isosceles triangle is at most 12 in. The length of each of the two congruent sides is 5 in. What are the possible lengths of the remaining sides?

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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