Question

question 2. the figures below show periodic tables with arrows indicating the trend of a particular property. each figure represents a trend for one of the following periodic properties: atomic radius, ionization energy, electronegativity, and reactivity of metals and nonmetals. match each periodic table with the appropriate category by dragging and dropping it into the correct box.
periodic trends:
atomic radius
periodic trends:
reactivity of metals
periodic trends: reactivity of nonmetals
periodic trends:
ionization energy
periodic trends:
electronegativity

Explanation:

Step1: Recall Periodic Trends

- **Atomic Radius**: Increases down a group (top to bottom) and decreases across a period (left to right). So the graph with arrows down (group) and left (period) increasing.
- **Reactivity of Metals**: Metals are more reactive down a group (easier to lose electrons) and less reactive across a period (left to right, metals become less metallic). So arrows down (group) and left (period) increasing.
- **Reactivity of Nonmetals**: Nonmetals are more reactive up a group (harder to lose, easier to gain) and across a period (left to right, nonmetals become more nonmetallic). So arrows up (group) and right (period) increasing.
- **Ionization Energy**: Increases up a group (less shielding, harder to remove electron) and across a period (left to right, more protons, harder to remove). So arrows up (group) and right (period) increasing.
- **Electronegativity**: Increases up a group and across a period (left to right, more attraction for electrons). So arrows up (group) and right (period) increasing.

Step2: Match Each Trend to Graph

- **Atomic Radius**: The graph with vertical arrow down (group) and horizontal arrow left (period) (top - middle left graph? Wait, looking at the grids: Let's check each:
- First row left: vertical up, horizontal left. No.
- First row right: vertical down, horizontal left. Yes, for atomic radius (increases down group, left to right? Wait no: atomic radius increases down (so vertical arrow down) and decreases left to right (so horizontal arrow left, meaning as we go left, radius increases). So that graph (top right) matches atomic radius.
- Second row left: vertical up, horizontal right. For ionization energy or electronegativity or nonmetal reactivity.
- Second row right: vertical down, horizontal right. No, for metal reactivity? Wait no, metal reactivity is down and left. Wait maybe I mixed. Let's re - clarify:
- Atomic Radius: Down (group) → increase, Left (period) → increase (since right is decrease). So graph with vertical arrow down, horizontal arrow left.
- Reactivity of Metals: Down (group) → increase, Left (period) → increase (since right is less reactive). So same as atomic radius? Wait no, metal reactivity: down group (more reactive) and left period (more reactive, since left is more metallic). So yes, same direction as atomic radius. Wait but nonmetal reactivity is opposite.
- Reactivity of Nonmetals: Up group (more reactive, since top nonmetals like F, Cl are more reactive) and right period (more reactive, since right is more nonmetallic). So vertical arrow up, horizontal arrow right.
- Ionization Energy: Up group (more energy, since top has less shielding) and right period (more energy, since more protons). So vertical arrow up, horizontal arrow right.
- Electronegativity: Up group (more electronegative, top nonmetals) and right period (more electronegative). So vertical arrow up, horizontal arrow right.

So:
- Atomic Radius: Graph with vertical down, horizontal left (top right grid)
- Reactivity of Metals: Graph with vertical down, horizontal left (same as atomic radius? Wait no, maybe the first row right is atomic radius, and the second row right is metal reactivity? No, maybe the labels:

Wait the problem says "Match each periodic table with the appropriate category". Let's list the categories:
1. Atomic Radius
2. Reactivity of Metals
3. Reactivity of Nonmetals
4. Ionization Energy
5. Electronegativity

And the graphs (assuming 4 graphs? Wait the image has 4 graphs: top left, top right, bottom left, bottom right. Wait the user's image:

Top row: two graphs. Bottom row: two graphs.

Top left: vertical arrow up, horizontal arrow left.

Top right: vertical arrow down, horizontal arrow left.

Bottom left: vertical arrow up, horizontal arrow right.

Bottom right: vertical arrow down, horizontal arrow right.

Now:

- Atomic Radius: increases down (vertical down) and left (horizontal left) → Top right graph.
- Reactivity of Metals: increases down (vertical down) and left (horizontal left) → Top right? No, that can't be. Wait no, metal reactivity: as you go down a group (vertical down), metals are more reactive (easier to lose electrons). As you go left across a period (horizontal left), metals are more reactive (more metallic). So yes, vertical down, horizontal left → Top right graph. But then reactivity of nonmetals: nonmetals are more reactive up (vertical up) and right (horizontal right) → Bottom left graph.

- Ionization Energy: increases up (vertical up) and right (horizontal right) → Bottom left graph? No, ionization energy and electronegativity and nonmetal reactivity have same direction (up and right). Wait:

- Nonmetal Reactivity: up (group) and right (period) → Bottom left (vertical up, horizontal right).
- Ionization Energy: up (group) and right (period) → Bottom left? No, maybe bottom left is for nonmetal reactivity, ionization energy, electronegativity? Wait no, ionization energy and electronegativity have same trend as nonmetal reactivity (up and right).

- Electronegativity: up (group) and right (period) → Bottom left.

- Reactivity of Metals: down (group) and left (period) → Top right.

- Atomic Radius: down (group) and left (period) → Top right? No, that's a problem. Wait maybe the top left graph: vertical up, horizontal left. No. Wait maybe I made a mistake. Let's use standard periodic trend graphs:

Atomic Radius:
- Group: down → increase (so vertical arrow down)
- Period: left → increase (so horizontal arrow left)
So the graph with vertical arrow down, horizontal arrow left (top right) is atomic radius.

Reactivity of Metals:
- Group: down → increase (vertical arrow down)
- Period: left → increase (horizontal arrow left)
So same as atomic radius? But that can't be, maybe the top right is atomic radius, and the bottom right is reactivity of metals? No, bottom right has vertical arrow down, horizontal arrow right. No. Wait the problem might have the following matches:

1. Atomic Radius: Graph with vertical down, horizontal left (top right)
2. Reactivity of Metals: Graph with vertical down, horizontal left (top right) → No, that's duplicate. Wait maybe the first row left is atomic radius? No, first row left has vertical up.

Wait perhaps the correct matches are:

- Atomic Radius: The graph where as you go down (vertical arrow down) and left (horizontal arrow left), the property increases. So top right.

- Reactivity of Metals: Same as atomic radius (down and left), so top right? No, maybe the problem has a different set. Alternatively, let's check the standard:

- Atomic Radius: Down (group) → increase, Left (period) → increase. So graph with arrows down (y - axis) and left (x - axis) increasing.

- Reactivity of Metals: Down (group) → increase, Left (period) → increase. So same as atomic radius.

- Reactivity of Nonmetals: Up (group) → increase, Right (period) → increase. So graph with arrows up (y - axis) and right (x - axis) increasing.

- Ionization Energy: Up (group) → increase, Right (period) → increase. So same as nonmetal reactivity.

- Electronegativity: Up (group) → increase, Right (period) → increase. So same as nonmetal reactivity and ionization energy.

So:

- Atomic Radius: Top right graph (vertical down, horizontal left)
- Reactivity of Metals: Top right graph? No, that's not possible. Wait maybe the top left graph is atomic radius? No, top left has vertical up. I think there's a mis - labeling, but based on the trends:

Assuming the graphs:

1. Top left: vertical up, horizontal left → No.

2. Top right: vertical down, horizontal left → Atomic Radius, Reactivity of Metals.

3. Bottom left: vertical up, horizontal right → Reactivity of Nonmetals, Ionization Energy, Electronegativity.

4. Bottom right: vertical down, horizontal right → No.

So the matches are:

- Atomic Radius: Top right graph.

- Reactivity of Metals: Top right graph? No, maybe the problem has the following:

Wait the user's question is to match each periodic table (graph) with the category. Let's list the categories and their correct graphs:

- Atomic Radius: Increases down (group) and left (period) → Graph with vertical arrow down, horizontal arrow left (top right).

- Reactivity of Metals: Increases down (group) and left (period) → Graph with vertical arrow down, horizontal arrow left (top right) → No, that's same. Maybe the top right is atomic radius, and the bottom right is reactivity of metals? No. Alternatively, maybe the first row left is atomic radius? No, first row left has vertical up.

I think the key is to use the trend directions:

- Atomic Radius: Down (group) and Left (period) → Top right graph.

- Reactivity of Metals: Down (group) and Left (period) → Top right graph (but that's same, maybe the problem has a typo, but proceed).

- Reactivity of Nonmetals: Up (group) and Right (period) → Bottom left graph.

- Ionization Energy: Up (group) and Right (period) → Bottom left graph.

- Electronegativity: Up (group) and Right (period) → Bottom left graph.

But since we have to match each, let's assume:

1. Atomic Radius: The graph with vertical arrow down, horizontal arrow left (top right).

2. Reactivity of Metals: The graph with vertical arrow down, horizontal arrow left (top right) → No, maybe the top right is atomic radius, and the bottom right is reactivity of metals? No, bottom right has vertical arrow down, horizontal arrow right.

Wait, maybe I messed up the horizontal arrow direction. For atomic radius, as we go from left to right across a period, atomic radius decreases. So the horizontal arrow left means "as we move left (towards metals), radius increases". So the graph with horizontal arrow left (increasing left) and vertical arrow down (increasing down) is atomic radius.

For reactivity of metals: as we move left across a period (more metallic), reactivity increases; as we move down a group (more reactive), reactivity increases. So same as atomic radius.

For reactivity of nonmetals: as we move right across a period (more nonmetallic), reactivity increases; as we move up a group (more reactive nonmetals like F, Cl), reactivity increases. So horizontal arrow right (increasing right) and vertical arrow up (increasing up).

For ionization energy: as we move right across a period (more protons, harder to remove electron), ionization energy increases; as we move up a group (less shielding, harder to remove electron), ionization energy increases. So horizontal arrow right, vertical arrow up.

For electronegativity: as we move right across a period (more attraction for electrons), electronegativity increases; as we move up a group (more attraction), electronegativity increases. So horizontal arrow right, vertical arrow up.

So the matches are:

- Atomic Radius: Graph with vertical down, horizontal left (top right).

- Reactivity of Metals: Graph with vertical down, horizontal left (top right) → No, this is a problem. Wait maybe the top left graph is atomic radius? No, top left has vertical up.

Wait, perhaps the correct way is:

- Atomic Radius: The graph where the vertical arrow is down (group) and horizontal arrow is left (period) (top - right graph).

- Reactivity of Metals: The graph where the vertical arrow is down (group) and horizontal arrow is left (period) (top - right graph) → But that's the same. Maybe the problem has the reactivity of metals as the bottom - right graph? No, bottom - right has vertical down and horizontal right.

I think there's a mis - representation, but based on standard trends:

- Atomic Radius: Top - right graph (vertical down, horizontal left).

- Reactivity of Metals: Top - right graph.

- Reactivity of Nonmetals: Bottom - left graph (vertical up, horizontal right).

- Ionization Energy: Bottom - left graph.

- Electronegativity: Bottom - left graph.

But since we need to match each, let's proceed with the trend directions.

Answer:

• Atomic Radius: The graph with vertical arrow down and horizontal arrow left (top - right graph).
• Reactivity of Metals: The graph with vertical arrow down and horizontal arrow left (top - right graph).
• Reactivity of Nonmetals: The graph with vertical arrow up and horizontal arrow right (bottom - left graph).
• Ionization Energy: The graph with vertical arrow up and horizontal arrow right (bottom - left graph).
• Electronegativity: The graph with vertical arrow up and horizontal arrow right (bottom - left graph).

(Note: If the graphs are labeled differently, adjust based on the actual arrow directions. The key is the trend of each property: down/left for atomic radius and metal reactivity; up/right for nonmetal reactivity, ionization energy, and electronegativity.)