Respuesta :
Answer: Angle I is congruent to angle L
Step-by-step explanation:
Did da test
To prove ΔGHI and ΔJKL are similar following statements must be true,
i) angle I and angle L are congruent.
ii) angle G and angle J are congruent
iii) sides of the triangles are in proportion
⇒[tex]\frac{GH}{JK}= \frac{HI}{KL}= \frac{IG}{LJ}[/tex][tex]\frac{GH}{JK}= \frac{HI}{KL}= \frac{IG}{LJ}[/tex]
What are similar triangles?
"Two or more triangles are similar if and only if the corresponding angle measures same and their corresponding side lengths are in proportion.."
What is dilation?
- "It is a geometric transformation where there is a change in the size of an object without changing its shape."
- "The size of the object changes on the basis scale factor."
For given example,
ΔGHI is dilated to form new ΔJKL.
Also, angle H is congruent to angle K.
To prove ΔGHI and ΔJKL are similar.
i) angle I and angle L are congruent.
ii) angle G and angle J are congruent
iii) sides of the triangles are in proportion
⇒[tex]\frac{GH}{JK}= \frac{HI}{KL}= \frac{IG}{LJ}[/tex]
Therefore, to prove ΔGHI and ΔJKL are similar following statements must be true,
i) angle I and angle L are congruent.
ii) angle G and angle J are congruent
iii) sides of the triangles are in proportion
⇒[tex]\frac{GH}{JK}= \frac{HI}{KL}= \frac{IG}{LJ}[/tex]
Learn more about the similar triangles here:
https://brainly.com/question/25882965
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