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3 years ago

Write a two-column proof.

Mathematics

2 answers:

netineya [11]3 years ago

6 0

Answer:

GLH is congruent to JLK as the quadrilateral is a parallelogram,

KJ = GH OR HJ = GK

GL = LJ OR. HL = LK

triangle JKG = GHJ

triangle HGK = KJH

Crazy boy [7]3 years ago

3 0

Answer:

A parallelogram has two pairs of opposite parallel congruent sides.

Given :

Quadrilateral GKJH is a parallelogram,

To prove :

Δ GLH ≅ Δ JLK

Proof :

Statement Reason

1. GH ║ KJ Definition of parallelogram

2. ∠LGH ≅ ∠LJK, ∠LHK ≅ ∠LKJ Alternate interior angle theorem

3. GH ≅ KJ Definition of parallelogram

4. Δ GLH ≅ Δ JLK ASA postulate of congruence

Hence, proved...

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3 years ago

Read 2 more answers

Simplify and expand (1/3)to 2nd power × 18 + (1/2)to 2nd power × 4

Pepsi [2]

Step 1. Use Division Distributive Property $( \frac{x}{y} ) ^{a} = \frac{ x^{a} }{ y^{a} }$

Step 2. Simplify $3^{2}$ to $9$

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Step 3. Use Division Distributive Property $( \frac{x}{y} ) ^{a} = \frac{ x^{a} }{ y^{a} }$

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Step 4. Simplify $2^{2}$ to $4$

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Step 5. Simplify $\frac{1}{9} *18$ to $\frac{18}{9}$

$\frac{18}{9} + \frac{1}{4} *4$

Step 6. Simplify $\frac{18}{9}$ to $2$

$2+ \frac{1}{4} *4$

Step 7. Simplify $\frac{1}{4} *4$ to $1$

$2+1$

Step 8. Simplify

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3 years ago

What is the possible value of x?

zvonat [6]

Answer:

Step-by-step explanation:

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2 years ago

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Answer:

True; about 120° CCW rotation about Q

Step-by-step explanation:

Triangle A'B'C' appears to be congruent to triangle ABC and about the same distance from point Q. The angle of rotation from ABC to A'B'C' appears to be about 120° counterclockwise when measured using a geometry program.

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_____

Additional comment

If choices of rotation angle are ±135° or ±165°, the best choice would be ...

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2 years ago

Brianna and let kelci are raising money for a class field trip. Brianna has raised 3 times more money than kelci, but together t

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Let $x be the amount of money which Kelci has raised. Brianna has raised 3 times more money than kelci, then she has raised $3x. Totally both have aised $(x+3x)=$4x.

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3 years ago