Question

Write a two column proof. Given= <3 is congruent to <4 Prove <1 is congruent to <2

Answer 1

what's the < represent an angle or triangle? I want to be sure so I can possibly help.

Answer 2

where is the graph?

Answer 3

i meant angles

Answer 4

by looking at this <3 is congruent to <1 and <2 with <4 since as stated <3 and <4 is congruent that means <1 and <2 is also congruent with each other

Answer 5

< represents as an angle

Answer 6

yes

Answer 7

we have to write out a two-column proof, included with the property's/thermos you used to get <1 is congruent to <2

Answer 8

http://www.nexuslearning.net/books/ml-geometry/Chapter2/ML%20Geometry%202-5%20Proving%20Statements%20with%20Segments.pdf

Answer 9

just look at example 1

Answer 10

start wid whats given

Answer 11

1. \(\angle 3 \cong \angle4\) a. Given

Answer 12

1. \(\angle 3 \cong \angle4 \) a. Given
2. \(\angle 3 \cong \angle1 \) b. Vertical Angles
3. \(\angle 4 \cong \angle2 \) c. Vertical Angles

Answer 13

Angles are congruent if their measures, in degrees, are equal. Note: “congruent” does not mean “equal." While they seem quite similar, congruent angles do not have to point in the same direction. Then we know that by the vertical angle theorem that if two angles are vertical angels then they have equal angles. So this solves your problem, since both <3 and <4 are equal there vertical angles will be equal and those angles will be congruent. Which should be correct.

Answer 14

thank you guys!

Answer 15

Basically what ganeshie wrote

Answer 16

1. \(\angle 3 \cong \angle4 \) a. Given
2. \(\angle 3 \cong \angle1 \) b. Vertical Angles
3. \(\angle 4 \cong \angle2 \) b. Vertical Angles
4. \(\angle 1 \cong \angle2 \) b. By Substitution

Answer 17

yw