Respuesta :
Answer:
yes; The triangles are congruent by hypotenuse-angle congruence.
Step-by-step explanation:
Answer: yes 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
Step-by-step explanation:
Property 5
RHS Criterion for Congruence
Explaining the congruence of triangles using RHS Criterion of Congruence
RHS Criterion stands for Right Angle-Hypotenuse-Side Criterion.
Under this criterion, if the hypotenuse and side of one right-angled triangle are equal to the hypotenuse and the corresponding side of another right-angled triangle, the two triangles are congruent.
Important Notes
Two figures are congruent if they have the same shape and size.
Two angles are congruent if their measures are exactly the same.
Two triangles with equal corresponding angles may not be congruent to each other because one triangle might be an enlarged copy of the other. Hence, there is no AAA Criterion for Congruence.
Hope this helps have a nice day❤️
