Which answer gives statements that should be used to prove angles 4 and 6 are congruent?

Mathematics

1 answer:

Firdavs [7]3 years ago

5 0

Answer:

Angles 4 and 8 are congruent as corresponding angles; angles 8 and 6 are congruent as vertical angles.

Step-by-step explanation:

We know that in the given diagram

The vertical angles are the opposite angles formed when two line's meet like 8 , 6 in the given diagram.These angles are clearly equal.

The corresponding angles are the angles formed when a line meets two parallel line's Like angles 4 , 8 or 3 , 7 etc. These are also same because the cutting line makes equal angles with the two parallel line's .

So angle 4 and angle 8 are equal because they are corresponding angles and the angles 8 and angle 6 are equal because they are vertical angles.

Therefore angle 4 and angle 8 are equal.

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Someone, please help! I'm really confused

11111nata11111 [884]

The correct pair is option E, which is:

FH ≅ FH - reflexive property

ΔGFH ≅ ΔEFH - SAS theorem

<h3>What is the SAS Congruence Theorem?</h3>

The SAS theorems states that two triangles are congruent if they have two pairs of congruent sides and a pair of congruent included angles.

<h3>What is the Reflexive Property?</h3>

The reflexive property of geometry states that an angle or line will always be congruent to itself.

In the two column-proof, since FH = FH using the reflexive property, then both triangles are congruent to each other by the SAS congruence theorem.

The missing pair of reasons that completes the proof are:

FH ≅ FH - reflexive property

ΔGFH ≅ ΔEFH - SAS theorem

Learn more about the SAS theorem on:

brainly.com/question/2102943

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