Question

Fill in the blanks. Use lower case.

Answer 1

Mathematical proofs are used to determine if a conjecture or statement is true, or otherwise.

The blanks will be filled with the following texts

1. Given
2. $\mathbf{\angle 1 \cong \angle 2}$
3. Proved

From the question, the following parameters are given:

$\mathbf{\angle 1 \cong \angle 2}$ and $\mathbf{l \perp 1}$

This means that, the first blank will be completed with given.

By converse of alternate interior angles theorem

$\mathbf{\angle 1 \cong \angle 2}$ --- angle 1 and angle 2 are congruent

So, the second blank will be completed with $\mathbf{\angle 1 \cong \angle 2}$

The above statement means that:

$\mathbf{l \perp 1}$ has been proved

Hence, the last blank will be completed with proved.

Read more about mathematical proofs at:

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