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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."

 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

 Oct 12, 2018
 #2
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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. 

 Oct 12, 2018
 #4
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Thanks

 Oct 12, 2018

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