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1. For a triangle XYZ, we use [XYZ] to denote its area.

Let ABCD be a square with side length 1. Points E and F lie on line BC and line CD, respectively, in such a way that angle EAF=45 degrees If [CEF]=1/9, what is the value of [AEF]?

 

2. A triangle T is separated into two congruent triangles by a straight cut. Which of the following statements are true?

A) T must have two sides with equal length.
B) The cut must be perpendicular to one side of T.
C)  T must have two interior angles with the same measure.
D) The cut must go through the midpoint of one side of T.

Type your answer as a list of letters separated by commas. For instance, if you believe that conditions A, B, and C are enough, then type "A,B,C" into the answer box. If you believe none of the options are correct, enter "none."

3.   Line PS bisects angle QPR . We can ensure that triangle PQS is congruent to triangle PRS by adding just one more condition. Which of the following statements could be that condition?

A) PQ=PR
B) SQ=SR
C) Angle PQS=Angle PRS
D) Angle PSQ=Angle PSR

 

Hint: The figure is a kite bisected into two parts from P to S
Type your answer as a list of letters separated by commas. For instance, if you believe that any of the conditions A, B, or C would be enough, then type "A,B,C" into the answer box. If you believe none of the options are correct, enter "none."

NerdyKid  Oct 12, 2018
edited by Guest  Oct 12, 2018
 #1
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it seems the actual question itself is having trouble posting can you post it as a response to this

Guest Oct 12, 2018
 #2
avatar+69 
0

1. For a triangle XYZ, we use [XYZ] to denote its area.

Let ABCD be a square with side length 1. Points E and F lie on line BC and line CD, respectively, in such a way that angle EAF=45 degrees If [CEF]=1/9, what is the value of [AEF]?

 

2. A triangle T is separated into two congruent triangles by a straight cut. Which of the following statements are true?

A) T must have two sides with equal length.
B) The cut must be perpendicular to one side of T.
C)  T must have two interior angles with the same measure.
D) The cut must go through the midpoint of one side of T.

Type your answer as a list of letters separated by commas. For instance, if you believe that conditions A, B, and C are enough, then type "A,B,C" into the answer box. If you believe none of the options are correct, enter "none."

3.   Line PS bisects angle QPR . We can ensure that triangle PQS is congruent to triangle PRS by adding just one more condition. Which of the following statements could be that condition?

A) PQ=PR
B) SQ=SR
C) Angle PQS=Angle PRS
D) Angle PSQ=Angle PSR

 

Hint: The figure is a kite bisected into two parts from P to S
Type your answer as a list of letters separated by commas. For instance, if you believe that any of the conditions A, B, or C would be enough, then type "A,B,C" into the answer box. If you believe none of the options are correct, enter "none."

NerdyKid  Oct 12, 2018
 #3
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+1

i dont know the answer to 1...

2. a,b,c,d

3. a. 

Guest Oct 12, 2018
 #4
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+1

Thanks

Guest Oct 12, 2018

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