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Given the information in the image, you can deduce that the triangles are (a) because (b)
Given the information in the image, you can deduce that the triangles are (a) because (b)
Given the information in the image, you can deduce that the triangles are (a) because (b)
Given the information in the image, you can deduce that the triangles are (a) because (b)
You are trying to prove △MXC≅△LXC. Identify the components of the triangles on the diagram that are congruent due to the reflexive property help prove their congruence by selecting the points which define the components.
Fill in the proof with the labels below.
AAS congruence theorem
Definition of midpoint
∠SEM
CPCTC
△SEM ≅ △KMR
SAS congruence postulate
SM
∠SMR
RM ≅ EM
Alternate internal ∠’s are ≅
Given the image, mark all true statements
∠SEO ≅ ∠STZ
EO ≅ TZ
SO ≅ SZ
∠ESO ≅ ∠TZS
∠YTE ≅ ∠YES
What additional information is needed to prove that △MYG ≅ △MYR? (a)
Mark the angle pairs which are congruent due to the presence of transversal HK which would help prove that triangles RXH and KXN are congruent.
∠RXK ≅ ∠HXN
∠RHX ≅ ∠NKX
∠CRN ≅ ∠TNC
∠RHX ≅ ∠KXN
Label the blank triangle with the corresponding triangle part.
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In terms of congruence, (a) shows that (b) occurred by manipulating the figures in a manner which demonstrate that (c) are (d) .
Given:
SP = 2x-3
SE = 10-2x
KN = 2x+1
RE= 3x-2
RP = 3x-3
FN=2y+3
Solve for x
Given:
m∠SPR= (25x +5)
m∠SER= (1+12x)
m∠YKN= (11x+9)
m∠FYK= (27x-1)
Solve for x
You are trying to prove triangles A and B congruent. Given the information depicted on the diagram. What is the reason you would mark the blue, single arc angles congruent?
The two angles are corresponding parts of the two triangles in question.
Alternate internal angles of a transversal are congruent.
The reflexive property of congruence.
The transversal cuts through two parallel lines.
These angles are Vertical angles and therefore are congruent
You are trying to prove triangles A and B congruent. Given the information depicted on the diagram. What is the reason you would mark the blue, single arc angles congruent?
The two angles are corresponding parts of the two triangles in question.
Alternate internal angles of a transversal are congruent.
The reflexive property of congruence.
These angles are Vertical angles and therefore are congruent.
It meets the criteria for the angle addition postulate.
You are trying to prove triangles A and B congruent. In the Given Statement, you were told that Triangle C and D are congruent. What is the reason you would mark the blue single and blue double marked line segments congruent?
Corresponding Parts of Congruent Triangles are Congruent.
(CPCTC)
Definition of Midpoint
Congruent Transversal Line Segment Postulate
Definition of Perpendicular Lines
Segment Addition Postulate
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