Question 1

-Provide the missing reasons for the following proof.
Given: M is the midpoint of  ; also,  Prove:  S1. M is the midpoint of  R1.
S2.  R2.
S3.  R3.
S4.  R4.
S5.  R5.

Accepted Answer

R1. Given
R2. Definition of midpoint
R3. Given
R4. Identity
R5. SSS

Question 2

-Provide missing statements for the following proof.
Given:  and  Prove:  S1. R1. Given
S2. R2. Vertical angles are congruent.
S3. R3. SAS

Accepted Answer

S1.  and  S2.  S3.

Question 3

-Provide all statements and all reasons for this proof.
Given:  with  ;  with  Prove:

Accepted Answer

S1.  with  R1. Given
S2.  with  R2. Given
S3.  R3. Identity
S4.  R4. SSS

Question 4

-Provide mssing statements and missing reasons for the proof of the theorem,
"Corresponding altitudes of congruent triangles are congruent."
Given:  ;  and  Prove:  S1.  R1.
S2.  and  R2.
S3. R3. Given
S4.  and  are rt.  R4.
S5. R5. All right angles are congruent.
S6.  R6.
S7. R7.

Accepted Answer

The answer of 
-Provide mssing statements and missing reasons for...

Question 5

-Provide missing reasons for this proof.
Given:  and  Prove:  bisects  S1.  and  R1.
S2.  R2.
S3.  R3.
S4,  R4.
S5.  bisects  R5.

Accepted Answer

The answer of 
-Provide missing reasons for this proof.
Given: ...

Question 6

-In the figure provided,  . Explain why it is necessary that  is also
congruent to

Accepted Answer

The answer of 
-In the figure provided,  . Explain...

Question 7

-Provide missing statements and missing reasons for the proof of the theorem,
"If two sides of a triangle are congruent, then the angles opposite those sides are
also congruent."
Given:  with  Prove:  S1. R1.
S2. Draw the angle bisector for  R2. Every angle has exactly one angle-bisector.
S3.  R3.
S4. R4.

Accepted Answer

The answer of 
-Provide missing statements and missing reasons for...

Question 8

-Use the given drawing and information to prove Theorem 3.1.1 (AAS). Provide all
statements and reasons.
Given:  ,  , and  Prove:

Accepted Answer

The answer of 
-Use the given drawing and information to...

Question 9

-Explain why the angle-bisector method is justified. Consider that the given angle,  ,
is to be bisected by the constructed ray,  .

Accepted Answer

The answer of 
-Explain why the angle-bisector method is justified....

Question 10

-Supply missing statements and missing reasons for the following proof.
Given:  and  Prove:  S1. R1.
S2.  R2. If the measure of one  of a  is greater than the measure of a
2nd  of the  , then the side opposite the larger  is longer than
the side opposite the smaller  .
S3. R3.

Accepted Answer

The answer of 
-Supply missing statements and missing reasons for...

Question 11

-Provide the missing statements and missing reasons for the following proof.
Given:  and V is the midpoint of  Prove:  S1.  R1.
S2.  R2.
S3. R3. Given
S4.  R4.
S5. R5. Identity
S6.  R6.
S7. R7.

Accepted Answer

The answer of 
-Provide the missing statements and missing reasons...

Question 12

-Provide missing statements for the following proof.
Given:  and  are right angles;  Prove:  S1. R1. Given
S2. R2. All right angles are congruent.
S3. R3. Identity
S4. R4. SAS
S5. R5. CPCTC

Accepted Answer

The answer of 
-Provide missing statements for the following proof.
Given:...

Question 13

-In the following problem, explain (prove) why the conclusion is valid..
Given: Quadrilateral  with diagonal  ;  and  are right angles
Prove:

Accepted Answer

The answer of 
-In the following problem, explain (prove) why...

Question 14

-Supply missing statements and missing reasons for the following proof.
Given:  ;  Prove:  S1.  ;  R1.
S2. R2. Identity
S3. R3.

Accepted Answer

The answer of 
-Supply missing statements and missing reasons for...

Question 15

-Provide missing statements and missing reasons for the following proof.
Given:  ; M is the midpoint of  and N is the midpoint of  Prove:  S1.  R1.
S2.  ,  , and  R2.
S3. R3. Given
S4.  R4. The midpoints of two congruent line segments
divide the segments into 4 congruent segments.
S5.  R5.
S6. R6.

Accepted Answer

The answer of 
-Provide missing statements and missing reasons for...

Question 16

-Supply missing statements and missing reasons for the following proof.
Given:  ;  and  Prove:  is an isosceles triangle
S1.  ;  R1.
S2.  R2.
S3. R3. If 2 angles of a triangle are congruent, the sides
opposite these angles are congruent.
S4.  R4.
S5. R5. CPCTC
S6.  is an isosceles triangle R6.

Accepted Answer

The answer of 
-Supply missing statements and missing reasons for...

Exam 3: Triangles

-Provide the missing reasons for the following proof. Given: M is the midpoint of ; also, Prove: S1. M is the midpoint of R1. S2. R2. S3. R3. S4. R4. S5. R5.

-Provide missing statements for the following proof. Given: and Prove: S1. R1. Given S2. R2. Vertical angles are congruent. S3. R3. SAS

-Provide all statements and all reasons for this proof. Given: with ; with Prove:

-Provide mssing statements and missing reasons for the proof of the theorem, "Corresponding altitudes of congruent triangles are congruent." Given: ; and Prove: S1. R1. S2. and R2. S3. R3. Given S4. and are rt. R4. S5. R5. All right angles are congruent. S6. R6. S7. R7.

-Provide missing reasons for this proof. Given: and Prove: bisects S1. and R1. S2. R2. S3. R3. S4, R4. S5. bisects R5.

-In the figure provided, . Explain why it is necessary that is also congruent to

-Use the given drawing and information to prove Theorem 3.1.1 (AAS). Provide all statements and reasons. Given: , , and Prove:

-Explain why the angle-bisector method is justified. Consider that the given angle, , is to be bisected by the constructed ray, .

-Supply missing statements and missing reasons for the following proof. Given: and Prove: S1. R1. S2. R2. If the measure of one of a is greater than the measure of a 2nd of the , then the side opposite the larger is longer than the side opposite the smaller . S3. R3.

-Provide the missing statements and missing reasons for the following proof. Given: and V is the midpoint of Prove: S1. R1. S2. R2. S3. R3. Given S4. R4. S5. R5. Identity S6. R6. S7. R7.

-Provide missing statements for the following proof. Given: and are right angles; Prove: S1. R1. Given S2. R2. All right angles are congruent. S3. R3. Identity S4. R4. SAS S5. R5. CPCTC

-In the following problem, explain (prove) why the conclusion is valid.. Given: Quadrilateral with diagonal ; and are right angles Prove:

-Supply missing statements and missing reasons for the following proof. Given: ; Prove: S1. ; R1. S2. R2. Identity S3. R3.

-Provide missing statements and missing reasons for the following proof. Given: ; M is the midpoint of and N is the midpoint of Prove: S1. R1. S2. , , and R2. S3. R3. Given S4. R4. The midpoints of two congruent line segments divide the segments into 4 congruent segments. S5. R5. S6. R6.

-Supply missing statements and missing reasons for the following proof. Given: ; and Prove: is an isosceles triangle S1. ; R1. S2. R2. S3. R3. If 2 angles of a triangle are congruent, the sides opposite these angles are congruent. S4. R4. S5. R5. CPCTC S6. is an isosceles triangle R6.