Math / Geometry

QuestionUse the figure to complete each part. (a) Write two other names for $\angle Q M P$ . $\square$ and $\square$ (b) Name the vertex of $\angle P M N$ . $\square$ (c) Name the sides of $\angle 1$ . $\square$ and $\square$

Studdy Solution

STEP 1

What is this asking? We need to identify different names for an angle, the point where the angle's lines meet, and the lines that form a specific angle, using the given diagram. Watch out! Be careful to use the correct order of letters when naming angles – the middle letter should always be the vertex!

STEP 2

1. Find other names for the angle.
2. Identify the vertex.
3. Name the sides of the angle.

STEP 3

We're looking for other names for $\angle QMP$ .
Remember, the middle letter represents the vertex of the angle, which is the point where the two sides of the angle meet.
The other two letters represent points on each of the two sides.

STEP 4

So, for $\angle QMP$ , the vertex is $M$ .
We can switch the order of the other two letters, $Q$ and $P$ , and the angle will still be the same.

STEP 5

Therefore, another name for $\angle QMP$ is $\angle PMQ$ .
Also, we see that $\angle QMP$ is labeled as $\angle 2$ in the diagram.
So, $\angle 2$ is another name for $\angle QMP$ .

STEP 6

We need to find the vertex of $\angle PMN$ .
The vertex is the point where the two sides of the angle meet.

STEP 7

In $\angle PMN$ , the middle letter, $M$ , represents the vertex.

STEP 8

We're asked to name the sides of $\angle 1$ .
Looking at the diagram, $\angle 1$ is formed by two line segments that extend from point $M$ .

STEP 9

One side goes from $M$ to $P$ , which we can write as $\overline{MP}$ or $\overline{PM}$ .
The other side goes from $M$ to $Q$ , which we can write as $\overline{MQ}$ or $\overline{QM}$ .

STEP 10

So, the sides of $\angle 1$ are $\overline{MP}$ and $\overline{MQ}$ .

STEP 11

(a) Two other names for $\angle QMP$ are $\angle PMQ$ and $\angle 2$ . (b) The vertex of $\angle PMN$ is $M$ . (c) The sides of $\angle 1$ are $\overline{MP}$ and $\overline{MQ}$ .

Was this helpful?

QuestionUse the figure to complete each part. (a) Write two other names for $\angle Q M P$ . $\square$ and $\square$ (b) Name the vertex of $\angle P M N$ . $\square$ (c) Name the sides of $\angle 1$ . $\square$ and $\square$

Studdy Solution

STEP 1

STEP 2

1. Find other names for the angle.
2. Identify the vertex.
3. Name the sides of the angle.

STEP 3

We're looking for other names for $\angle QMP$ .
Remember, the middle letter represents the vertex of the angle, which is the point where the two sides of the angle meet.
The other two letters represent points on each of the two sides.

STEP 4

So, for $\angle QMP$ , the vertex is $M$ .
We can switch the order of the other two letters, $Q$ and $P$ , and the angle will still be the same.

STEP 5

Therefore, another name for $\angle QMP$ is $\angle PMQ$ .
Also, we see that $\angle QMP$ is labeled as $\angle 2$ in the diagram.
So, $\angle 2$ is another name for $\angle QMP$ .

STEP 6

We need to find the vertex of $\angle PMN$ .
The vertex is the point where the two sides of the angle meet.

STEP 7

In $\angle PMN$ , the middle letter, $M$ , represents the vertex.

STEP 8

We're asked to name the sides of $\angle 1$ .
Looking at the diagram, $\angle 1$ is formed by two line segments that extend from point $M$ .

STEP 9

One side goes from $M$ to $P$ , which we can write as $\overline{MP}$ or $\overline{PM}$ .
The other side goes from $M$ to $Q$ , which we can write as $\overline{MQ}$ or $\overline{QM}$ .

STEP 10

So, the sides of $\angle 1$ are $\overline{MP}$ and $\overline{MQ}$ .

STEP 11

(a) Two other names for $\angle QMP$ are $\angle PMQ$ and $\angle 2$ . (b) The vertex of $\angle PMN$ is $M$ . (c) The sides of $\angle 1$ are $\overline{MP}$ and $\overline{MQ}$ .

Get Studdy

Studdy solves anything!

Start learning now

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

QuestionUse the figure to complete each part. (a) Write two other names for ∠QMP\angle Q M P∠QMP. □\square□ and □\square□ (b) Name the vertex of ∠PMN\angle P M N∠PMN. □\square□ (c) Name the sides of ∠1\angle 1∠1. □\square□ and □\square□

Studdy Solution

STEP 1

STEP 2

1. Find other names for the angle.2. Identify the vertex.3. Name the sides of the angle.

STEP 3

We're looking for other names for ∠QMP\angle QMP∠QMP.Remember, the middle letter represents the **vertex** of the angle, which is the point where the two sides of the angle meet.The other two letters represent points on each of the two sides.

STEP 4

So, for ∠QMP\angle QMP∠QMP, the vertex is MMM.We can switch the order of the other two letters, QQQ and PPP, and the angle will still be the same.

STEP 5

Therefore, another name for ∠QMP\angle QMP∠QMP is ∠PMQ\angle PMQ∠PMQ.Also, we see that ∠QMP\angle QMP∠QMP is labeled as ∠2\angle 2∠2 in the diagram.So, ∠2\angle 2∠2 is another name for ∠QMP\angle QMP∠QMP.

STEP 6

We need to find the vertex of ∠PMN\angle PMN∠PMN.The **vertex** is the point where the two sides of the angle meet.

STEP 7

In ∠PMN\angle PMN∠PMN, the middle letter, MMM, represents the vertex.

STEP 8

We're asked to name the sides of ∠1\angle 1∠1.Looking at the diagram, ∠1\angle 1∠1 is formed by two line segments that extend from point MMM.

STEP 9

One side goes from MMM to PPP, which we can write as MP‾\overline{MP}MP or PM‾\overline{PM}PM.The other side goes from MMM to QQQ, which we can write as MQ‾\overline{MQ}MQ​ or QM‾\overline{QM}QM​.

STEP 10

So, the sides of ∠1\angle 1∠1 are MP‾\overline{MP}MP and MQ‾\overline{MQ}MQ​.

STEP 11

(a) Two other names for ∠QMP\angle QMP∠QMP are ∠PMQ\angle PMQ∠PMQ and ∠2\angle 2∠2. (b) The vertex of ∠PMN\angle PMN∠PMN is MMM. (c) The sides of ∠1\angle 1∠1 are MP‾\overline{MP}MP and MQ‾\overline{MQ}MQ​.

Get Studdy

Studdy solves anything!

Start learning now

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

QuestionUse the figure to complete each part. (a) Write two other names for $\angle Q M P$ . $\square$ and $\square$ (b) Name the vertex of $\angle P M N$ . $\square$ (c) Name the sides of $\angle 1$ . $\square$ and $\square$

1. Find other names for the angle.
2. Identify the vertex.
3. Name the sides of the angle.

We're looking for other names for $\angle QMP$ .
Remember, the middle letter represents the vertex of the angle, which is the point where the two sides of the angle meet.
The other two letters represent points on each of the two sides.

So, for $\angle QMP$ , the vertex is $M$ .
We can switch the order of the other two letters, $Q$ and $P$ , and the angle will still be the same.

Therefore, another name for $\angle QMP$ is $\angle PMQ$ .
Also, we see that $\angle QMP$ is labeled as $\angle 2$ in the diagram.
So, $\angle 2$ is another name for $\angle QMP$ .

We need to find the vertex of $\angle PMN$ .
The vertex is the point where the two sides of the angle meet.

In $\angle PMN$ , the middle letter, $M$ , represents the vertex.

We're asked to name the sides of $\angle 1$ .
Looking at the diagram, $\angle 1$ is formed by two line segments that extend from point $M$ .

One side goes from $M$ to $P$ , which we can write as $\overline{MP}$ or $\overline{PM}$ .
The other side goes from $M$ to $Q$ , which we can write as $\overline{MQ}$ or $\overline{QM}$ .

So, the sides of $\angle 1$ are $\overline{MP}$ and $\overline{MQ}$ .

(a) Two other names for $\angle QMP$ are $\angle PMQ$ and $\angle 2$ . (b) The vertex of $\angle PMN$ is $M$ . (c) The sides of $\angle 1$ are $\overline{MP}$ and $\overline{MQ}$ .