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Determine whether the pair of triangles is congruent. If yes, include the theorem or postulate that applies.

Question 6 options:


yes; The triangles are congruent by hypotenuse-angle congruence.


yes; The triangles are congruent by leg-leg congruence.


no; The triangles are not congruent.


There is not enough information to determine congruency.

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Determine whether the pair of triangles is congruent. If yes, include the theorem or postulate that applies.


Question 9 options:


yes; The triangles are congruent by hypotenuse-angle congruence.


yes; The triangles are congruent by hypotenuse-leg congruence.


no; The triangles are not congruent.


there is not enough information to determine congruency.


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Determine whether the pair of triangles is congruent If yes include the theorem or postulate that appliesQuestion 6 optionsyes The triangles are congruent by hy class=
Determine whether the pair of triangles is congruent If yes include the theorem or postulate that appliesQuestion 6 optionsyes The triangles are congruent by hy class=
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Ashraf82

Answer:

Question 6

There is not enough information to determine congruency

Question 9

yes; The triangles are congruent by hypotenuse-leg congruence

Step-by-step explanation:

* Lets revise the cases of congruence  

- SSS  ⇒ 3 sides in the 1st Δ ≅ 3 sides in the 2nd Δ

- SAS ⇒ 2 sides and including angle in the 1st Δ ≅ 2 sides and  

 including angle in the 2nd Δ  

- ASA ⇒ 2 angles and the side whose joining them in the 1st Δ  

 ≅ 2 angles and the side whose joining them in the 2nd Δ

- AAS ⇒ 2 angles and one side in the first triangle ≅ 2 angles  

 and one side in the 2ndΔ

- HL ⇒ hypotenuse - leg of the first right angle triangle ≅ hypotenuse

 - leg of the 2nd right angle Δ

- HA ⇒ hypotenuse - angle of the first right angle triangle ≅ hypotenuse

 - angle of the 2nd right angle Δ

- LL ⇒ leg - leg of the first right angle triangle ≅ leg - leg of the

 2nd right angle Δ

* Now lets solve the problem

# Question 6

- There are two right angle triangles

- They have two different legs

- There is no mention abut legs equal each other

- There is no mention about hypotenuses equal each other

- There is no mention about acute angels equal each other

∴ There is not enough information to determine congruency

# Question 9

- There are two right angle triangles

- Their hypotenuse is common

- There are two corresponding legs are equal

∵ The hypotenuse is a common in the two right triangles

∵ Two corresponding legs are equal

- By using hypotenuse-leg congruence

∴ yes; The triangles are congruent by hypotenuse-leg congruence

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