Math / Geometry

QuestionQuestion
In parallelogram $M N P Q$ if $M P=12$ find $M R$ .
Answer Attempt 1 out of 2 $\square$ Submit Answer

Studdy Solution

STEP 1

What is this asking? How long is half of the diagonal $MP$ of parallelogram $MNPQ$ ? Watch out! Diagonals of parallelograms bisect each other, meaning they cut each other perfectly in half!
Don't mix this up with other quadrilaterals where this isn't always true.

STEP 2

1. Find the length of $MR$ .

STEP 3

Alright, awesome students, let's dive into this parallelogram problem!
We're given that $MNPQ$ is a parallelogram, which unlocks some super cool properties about its diagonals.
Remember, diagonals of a parallelogram always bisect each other.
Bisect means they cut each other perfectly in half!

STEP 4

We're told that the length of diagonal $MP$ is $\mathbf{12}$ .
Since the diagonals bisect each other, $R$ is the midpoint of $MP$ .
This means that $MR$ is half the length of $MP$ .

STEP 5

Calculate the length of $MR$ : $MR = \frac{1}{2} \cdot MP$ We know $MP = \mathbf{12}$ , so let's plug that in: $MR = \frac{1}{2} \cdot \mathbf{12}$ $MR = \mathbf{6}$

STEP 6

So, the length of $MR$ is $\mathbf{6}$ !

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QuestionQuestion
In parallelogram $M N P Q$ if $M P=12$ find $M R$ .
Answer Attempt 1 out of 2 $\square$ Submit Answer

Studdy Solution

STEP 1

What is this asking? How long is half of the diagonal $MP$ of parallelogram $MNPQ$ ? Watch out! Diagonals of parallelograms bisect each other, meaning they cut each other perfectly in half!
Don't mix this up with other quadrilaterals where this isn't always true.

STEP 2

1. Find the length of $MR$ .

STEP 3

Alright, awesome students, let's dive into this parallelogram problem!
We're given that $MNPQ$ is a parallelogram, which unlocks some super cool properties about its diagonals.
Remember, diagonals of a parallelogram always bisect each other.
Bisect means they cut each other perfectly in half!

STEP 4

We're told that the length of diagonal $MP$ is $\mathbf{12}$ .
Since the diagonals bisect each other, $R$ is the midpoint of $MP$ .
This means that $MR$ is half the length of $MP$ .

STEP 5

Calculate the length of $MR$ : $MR = \frac{1}{2} \cdot MP$ We know $MP = \mathbf{12}$ , so let's plug that in: $MR = \frac{1}{2} \cdot \mathbf{12}$ $MR = \mathbf{6}$

STEP 6

So, the length of $MR$ is $\mathbf{6}$ !

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QuestionQuestionIn parallelogram MNPQM N P QMNPQ if MP=12M P=12MP=12 find MRM RMR.Answer Attempt 1 out of 2 □\square□ Submit Answer

Studdy Solution

STEP 1

What is this asking? How long is half of the diagonal MPMPMP of parallelogram MNPQMNPQMNPQ? Watch out! Diagonals of parallelograms *bisect* each other, meaning they cut each other perfectly in half!Don't mix this up with other quadrilaterals where this isn't always true.

STEP 2

1. Find the length of MRMRMR.

STEP 3

STEP 4

We're told that the length of diagonal MPMPMP is 12\mathbf{12}12.Since the diagonals bisect each other, RRR is the **midpoint** of MPMPMP.This means that MRMRMR is *half* the length of MPMPMP.

STEP 5

**Calculate** the length of MRMRMR: MR=12⋅MP MR = \frac{1}{2} \cdot MP MR=21​⋅MP We know MP=12MP = \mathbf{12}MP=12, so let's plug that in: MR=12⋅12 MR = \frac{1}{2} \cdot \mathbf{12} MR=21​⋅12 MR=6 MR = \mathbf{6} MR=6

STEP 6

So, the length of MRMRMR is 6\mathbf{6}6!

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Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionQuestion
In parallelogram $M N P Q$ if $M P=12$ find $M R$ .
Answer Attempt 1 out of 2 $\square$ Submit Answer

What is this asking? How long is half of the diagonal $MP$ of parallelogram $MNPQ$ ? Watch out! Diagonals of parallelograms bisect each other, meaning they cut each other perfectly in half!
Don't mix this up with other quadrilaterals where this isn't always true.

1. Find the length of $MR$ .

We're told that the length of diagonal $MP$ is $\mathbf{12}$ .
Since the diagonals bisect each other, $R$ is the midpoint of $MP$ .
This means that $MR$ is half the length of $MP$ .

Calculate the length of $MR$ : $MR = \frac{1}{2} \cdot MP$ We know $MP = \mathbf{12}$ , so let's plug that in: $MR = \frac{1}{2} \cdot \mathbf{12}$ $MR = \mathbf{6}$

So, the length of $MR$ is $\mathbf{6}$ !