Which are True or False ?

Mathematics

1 answer:

Jobisdone [24]4 years ago

5 0

Triangles are similar if they have the same shape, but can be different sizes.
Interior angles in first triangle are equal an angles in second triangle.

3th angle:

180° - (50° + 32°) = 180° - 82° = 98°.

Answer:
1. TRUE
2. FALSE
3. FALSE
4. TRUE

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Consider the given parallelogram KLMN.

Prove: $\angle N \cong \angle L, \angle K \cong \angle M$

Statement Reason

1. $KL \parallel NM, KN \parallel LM$ Definition of parallelogram

2. $\angle K+ \angle N = 180^\circ$ Same Side interior angle theorem

$\angle L+ \angle M = 180^\circ$

$\angle K+ \angle L = 180^\circ$

3. $\angle K+ \angle N=\angle K+ \angle L$ Substitution property

$\angle L+ \angle M=\angle K+ \angle L$

4. $\angle N = \angle L$ Subtraction property of equality

$\angle M = \angle K$

Subtraction property of equality tells us that if we subtract some number from one side of an equation, we also must subtract from the other side of the equation to keep the equation the same.

5. $\angle N \cong \angle L$ Angle Congruence Postulate