match the reasons with the statements given.
given:
△abr
$ \overline { r a } = \overline { r b } $
$ \overrightarrow { r s } \parallel \overline { a b } $
prove:
$ \angle 1 = \angle 2 $
helpful hint: start by identifying the given first.
1. segment ra=segment rb, rs$ \parallel $ab given
2. $ \angle a = \angle b $ substitution
3. $ \angle a = \angle 2 $ if lines $ \parallel $, alternate interior $ \angle $s =
4. $ \angle b = \angle 1 $ base $ \angle $s of isosceles triangle =
5. $ \angle 1 = \angle 2 $ if lines $ \parallel $, corresponding $ \angle $s =

Question

Accepted Answer

# Explanation:
## Step1: Identify given statements
Statement 1 is the given information about the triangle and parallel lines.
## Step2: Use isosceles triangle property
In $\triangle ABR$, since $RA = RB$, by the base angles of isosceles triangle property, $\angle A=\angle B$.
## Step3: Use alternate - interior angles
Because $RS\parallel AB$, $\angle A$ and $\angle 2$ are alternate - interior angles. So, by the property  “If lines $\parallel$, alternate interior $\angle$'s =”, $\angle A=\angle 2$.
## Step4: Use corresponding angles
Since $RS\parallel AB$, $\angle B$ and $\angle 1$ are corresponding angles. So, by the property “If lines $\parallel$, corresponding $\angle$'s =”, $\angle B = \angle 1$.
## Step5: Use substitution
Since $\angle A=\angle B$, $\angle A=\angle 2$ and $\angle B=\angle 1$, by substitution, $\angle 1=\angle 2$.

# Answer:
1. Given
2. Base $\angle$'s of isosceles triangle =
3. If lines $\parallel$, alternate interior $\angle$'s =
4. If lines $\parallel$, corresponding $\angle$'s =
5. Substitution

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Step1: Identify given statements

Step2: Use isosceles triangle property

Step3: Use alternate - interior angles

Step4: Use corresponding angles

Step5: Use substitution

Answer: