LÖVE

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function love.load()
	--This is one way of making a button. You can make it however you want, even use pre-made libraries
	myButton = {
		x = 10, y = 10, image = love.graphics.newImage("myButton.png"), clicked = false
	}
	
	--This is just an easy way to know the pop-up image and where to draw it. Change to whatever you want
	myImage = {
		x = 50, y = 50, image = love.graphics.newImage("myImage.png")
	}
end

function love.draw()
	love.graphics.draw(myButton.image, myButton.x, myButton.y) --This is where we draw your button
	
	if myButton.clicked then --If the person clicked the button, this will be true
		love.graphics.draw(myImage.image, myImage.x, myImage.y) --This is where we draw the pop-up image
	end
end

function love.mousepressed(x, y, button)
	if button == 1 then --Left click
		if x >= button.x and x <= button.x+button.image:getWidth() and y >= button.y and y <= button.y+button.image:getHeight() then --Detect if the click was inside the button
			button.clicked = true --This is what triggers the pop-up image
		end
	end
end

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if click then

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 click = true