MATH SOLVE

4 months ago

Q:
# 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.---------------------------------------------------------------------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.ANSWER IN 5 MINUTES TO RECEIVE BRAINLIEST.

Accepted Solution

A:

Answer:Question 6There is not enough information to determine congruencyQuestion 9yes; The triangles are congruent by hypotenuse-leg congruenceStep-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